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22 pages, 4125 KB  
Article
A Charge Transport Closure Model for Plasma-Assisted Laminar Diffusion Flames
by Sharif Md. Yousuf Bhuiyan, Md. Kamrul Hasan and Rajib Mahamud
Thermo 2026, 6(2), 29; https://doi.org/10.3390/thermo6020029 - 24 Apr 2026
Cited by 1 | Viewed by 605
Abstract
Electrohydrodynamic effects can significantly alter transport processes in reacting flows, even when the plasma is weakly ionized. However, predictive modeling of such plasma–flame interactions remains challenging due to the multiscale coupling among charge transport, fluid motion, and chemical kinetics. This study presents a [...] Read more.
Electrohydrodynamic effects can significantly alter transport processes in reacting flows, even when the plasma is weakly ionized. However, predictive modeling of such plasma–flame interactions remains challenging due to the multiscale coupling among charge transport, fluid motion, and chemical kinetics. This study presents a charge-transport closure model to investigate electrohydrodynamic influences on laminar non-premixed flames. A two-dimensional computational framework in cylindrical coordinates is used to simulate plasma-assisted methane–air diffusion flames under weak electric-field conditions representative of practical combustion environments. To represent plasma–flow coupling in a computationally feasible yet physically consistent manner, a charge-transport formulation based on the drift–diffusion approximation is employed. The model solves transport equations for representative positive and negative charge carriers coupled with Poisson’s equation for the electric potential to obtain a self-consistent electric field. This formulation assumes a weakly ionized regime for low-temperature plasma-assisted combustion, in which neutral species dominate the mass and momentum transport, while ionization chemistry is simplified and charge transport primarily influences the flow through electrohydrodynamic body forces and Joule heating. Assuming a weak electric field, the steady flamelet model is applied, in which plasma effects primarily influence scalar transport and local thermal balance rather than inducing significant bulk ionization dynamics. The governing equations are discretized using a high-order compact finite-difference scheme that provides improved resolution of steep gradients in temperature, species concentration, and space-charge density near thin reaction zones. The canonical laminar flame model configuration was validated using the established laminar methane–air diffusion flame benchmark, and steady-state spatial profiles of key transport properties were evaluated. Two-dimensional analysis identified the discharge coupling location as an important factor. The application of discharge in the fuel-air mixing region leads to a clear restructuring of the flame. When the discharge is activated, electrohydrodynamic forcing and ion-driven momentum transfer produce a highly localized, columnar flame with sharp gradients and a confined reaction zone. Compared with the baseline case, the plasma-assisted flame localizes the OH-rich reaction zone, confines the high-temperature region into a narrow column, and enhances downstream H2O formation. Full article
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17 pages, 14248 KB  
Article
Research on the Mechanism of Hydrogen Plasma Heating and Reduction of Acidic Pellets
by Zihao Fan, Xiaoping Zhang, Chuanwen Geng, Xingyue Jin, Lin Li, Peng Zhao, Baoliang Wen and Jialong Yang
Materials 2026, 19(6), 1269; https://doi.org/10.3390/ma19061269 - 23 Mar 2026
Viewed by 634
Abstract
Hydrogen plasma heating, a unique method for heating and reducing iron ore, is distinguished by its high heat, rapid reduction, and high efficiency, making it a promising technique in the metallurgy field. In this study, a non-transferred arc plasma heating system was used [...] Read more.
Hydrogen plasma heating, a unique method for heating and reducing iron ore, is distinguished by its high heat, rapid reduction, and high efficiency, making it a promising technique in the metallurgy field. In this study, a non-transferred arc plasma heating system was used with Ar-H2 as the working gas and acidic pellets as the raw material. The microstructures and elemental distributions of the slag and iron phases during the reduction process were examined using electron microscopy and energy-dispersive X-ray. The variation patterns of Fe-containing phases in the reduction products were found using X-ray diffraction and full-spectrum fitting refinement. The conversion rate of the oxidized pellets and the deoxidation conversion rate per area were estimated for various gas flow rates and reduction times. A reaction kinetics model was also used to study the reaction controlling step. The results showed that during the reduction process, with an H2 flow rate of 4.5 L min−1 and a 40 min reduction, the conversion(α) reached 99.89% and the purity of the reduced metallic iron reached 99.9%, achieving the industrial-grade 3N standard. Si and Al in the melt bath generated fayalite (Fe2SiO4) and hercynite (FeAl2O4) with FexO. The deoxidation conversion rate per unit area was 1.11 g (cm2 min)−1. A three-dimensional diffusion-controlled model was used to describe the reduction process, and the mechanism function was 2/3(1 + α)3/2[(1 + α)1/3]−1. The values of the reduction reaction rate constant (K) were 12.6 × 10−2 s−1 and 12.8 × 10−2 s−1 when the flow rates of H2 gas were 3 and 4.5 L min−1, respectively. The apparent activation energy was 21.9 kJ mol−1. The empirical equation for the specific reduction rate was calculated as ln r = −2637.5/T − 0.407. Full article
(This article belongs to the Section Metals and Alloys)
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12 pages, 268 KB  
Article
On Problems Solved in a Quasi-Linear Approximation
by Leon Kos and Davy D. Tskhakaya
Mathematics 2026, 14(6), 960; https://doi.org/10.3390/math14060960 - 12 Mar 2026
Viewed by 320
Abstract
The complete analytic solution of the time-dependent Vlasov–Boltzmann kinetic equation is used to describe selected problems in plasma physics within the framework of the quasi-linear approximation. These problems usually include the relaxation of plasma oscillations and the relaxation of beam instability. Our kinetic [...] Read more.
The complete analytic solution of the time-dependent Vlasov–Boltzmann kinetic equation is used to describe selected problems in plasma physics within the framework of the quasi-linear approximation. These problems usually include the relaxation of plasma oscillations and the relaxation of beam instability. Our kinetic equation is a first-order partial differential equation. The method of characteristics allows us to solve it analytically, while fully preserving the entire time dependence. Using the obtained analytic expression for the distribution function, the paper shows that the indicated relaxation processes do not occur in the approximation considered. Full article
(This article belongs to the Section E4: Mathematical Physics)
13 pages, 3518 KB  
Technical Note
Physics-Informed Neural Networks for Modeling Postprandial Plasma Amino Acids Kinetics in Pigs
by Zhangcheng Li, Jincheng Wen, Zixiang Ren, Zhihong Sun, Yetong Xu, Weizhong Sun, Jiaman Pang and Zhiru Tang
Animals 2026, 16(4), 634; https://doi.org/10.3390/ani16040634 - 16 Feb 2026
Cited by 1 | Viewed by 1087
Abstract
Postprandial plasma amino acid (AA) kinetics serve as essential indicators of digestive efficiency and systemic metabolic status in pigs. Traditional kinetic analysis relies on Non-Linear Least Squares (NLS) regression using compartmental models, yet these methods typically demand repeated blood sampling and precise initialization [...] Read more.
Postprandial plasma amino acid (AA) kinetics serve as essential indicators of digestive efficiency and systemic metabolic status in pigs. Traditional kinetic analysis relies on Non-Linear Least Squares (NLS) regression using compartmental models, yet these methods typically demand repeated blood sampling and precise initialization to ensure convergence. In this study, we developed a Physics-Informed Neural Network (PINN) framework by integrating mechanistic Ordinary Differential Equations (ODEs) directly into the deep learning loss function. The framework was evaluated using a benchmark dataset. Specifically, we performed a retrospective analysis by downsampling the original high-frequency data to simulate dense and sparse sampling strategies. The results demonstrate that while both models exhibit high fidelity under dense sampling, PINN maintains superior robustness and predictive accuracy under data-constrained conditions. Under the sparse sampling scenario, PINN reduced the Root Mean Square Error (RMSE) compared to NLS in key metabolic profiles, such as Methionine in the FAA group (p < 0.01) and Lysine in the HYD group (p < 0.05). Unlike NLS, which is sensitive to initial guesses, PINN successfully utilized physical laws as a regularization term to robustly solve the inverse problem, demonstrating superior parameter identification stability and predictive consistency under data-constrained conditions compared to NLS. We concluded that the PINN framework provides a reliable and consistent alternative for modeling the AA dynamics. In the future, it may be possible to reconstruct highly accurate physiological trajectories under optimized sparse sampling conditions. Full article
(This article belongs to the Special Issue Amino Acids Nutrition and Health in Farm Animals)
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14 pages, 1677 KB  
Review
Partially Ionized Plasma Physics and Technological Applications
by Igor Kaganovich and Michael Tendler
Physics 2026, 8(1), 18; https://doi.org/10.3390/physics8010018 - 6 Feb 2026
Cited by 2 | Viewed by 1897
Abstract
Partially ionized plasma physics has attracted increased attention recently due to numerous technological applications made possible by the increased sophistication of computer modelling, the depth of the theoretical analysis, and the technological applications to a vast field of manufacturing for computer components. Partially [...] Read more.
Partially ionized plasma physics has attracted increased attention recently due to numerous technological applications made possible by the increased sophistication of computer modelling, the depth of the theoretical analysis, and the technological applications to a vast field of manufacturing for computer components. Partially ionized plasma is characterized by a significant presence of neutral particles in contrast to the fully ionized plasma. The theoretical analysis is based upon solutions of the kinetic Boltzmann equation, yielding the non-Maxwellian electron energy distribution function (EEDF), thereby emphasizing the difference with a fully ionized plasma. The impact of the effect on discharges in inert and molecular gases is described in detail, yielding the complex nonlinear phenomena resulting in plasma selforganization. A few examples of such phenomena are given, including the non-monotonic EEDFs in the discharge afterglow in a mixture of argon with the molecular gas NF3; the explosive generation of cold electron populations in capacitive discharges, hysteresis of EEDF in inductively coupled plasmas. Recently, highly advanced computer codes were developed in order to address the outstanding challenges in plasma technology. These developments are briefly described in general terms. Full article
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13 pages, 324 KB  
Article
On the Description of Turbulent Transport in Magnetic Confinement Systems
by Jan Weiland and Tariq Rafiq
Physics 2026, 8(1), 12; https://doi.org/10.3390/physics8010012 - 27 Jan 2026
Viewed by 771
Abstract
We show how a source-aware fluid closure framework for turbulent transport performs well on the confinement timescale in magnetically confined plasmas. A central result is that whether a source is resonant with the turbulence determines which fluid moments must be retained. Using a [...] Read more.
We show how a source-aware fluid closure framework for turbulent transport performs well on the confinement timescale in magnetically confined plasmas. A central result is that whether a source is resonant with the turbulence determines which fluid moments must be retained. Using a nonlinear current formulation, we show that resonance broadening—the dominant kinetic nonlinearity—cancels linear resonances and thereby justifies a quasilinear fluid closure already on the turbulence timescale. We derive a practical negative-energy criterion and identify parameter regimes satisfied by ion-temperature-gradient (ITG) modes (slab and toroidal), with parallel ion compressibility and magnetic curvature controlling the sign. The framework clarifies when velocity-space dynamics must be retained in the kinetic Fokker–Planck equation (for example, for fast-particle instabilities at frequencies about 102 higher than drift-wave frequencies). The present study provides additional support for our model by predicting transport that increases with radius and by showing—consistent with nonlinear kinetic simulations—that the diamagnetic flow dominates the Reynolds stress. Altogether, the results obtained provide a consistent, reduced-cost path to fluid closures that retain the essential kinetic physics while remaining tractable on confinement timescales. Full article
20 pages, 5136 KB  
Article
Combined Effect of Plasma-Activated Water, Edible Coating, and Active Packaging on Cherry Tomato Shelf-Life: Kinetics and Microbiome Approach
by Syed Mudabbar Hussain Shah, Stefania Volpe, Francesca Colonna, Vincenzo Valentino, Francesca De Filippis, Elena Torrieri and Silvana Cavella
Foods 2026, 15(1), 182; https://doi.org/10.3390/foods15010182 - 5 Jan 2026
Cited by 5 | Viewed by 1478
Abstract
Cherry tomatoes are highly appreciated for their nutritional value but remain highly perishable due to rapid respiration and senescence. This study evaluated a multi-hurdle strategy combining plasma-activated water (PAW), sodium caseinate-based edible coating, and antioxidant active packaging to preserve minimally processed (MP) cherry [...] Read more.
Cherry tomatoes are highly appreciated for their nutritional value but remain highly perishable due to rapid respiration and senescence. This study evaluated a multi-hurdle strategy combining plasma-activated water (PAW), sodium caseinate-based edible coating, and antioxidant active packaging to preserve minimally processed (MP) cherry tomatoes stored at 1 °C, 4 °C, and 8 °C for 15 days. Quality evolution was monitored through physical, chemical, nutritional, and microbiological parameters and described using pseudo-zero- and first-order kinetic models, with temperature dependence expressed by the Arrhenius equation. The combined treatment (prototype) slowed the degradation rates of pH, titratable acidity, total polyphenols, and antioxidant capacity, as reflected by consistently lower kinetic rate constants across all temperatures. Prototype samples showed better retention of polyphenols and antioxidant capacity, particularly at 1 °C and 4 °C, without detrimental effects on visual appearance. Metagenomic analysis revealed that the multi-hurdle treatment reshaped the microbial community, reducing the relative abundance of potentially problematic taxa such as Acinetobacter johnsonii and limiting the occurrence of antimicrobial resistance (AMR) genes at the end of storage. This study provides the first integrated assessment of PAW, edible coating, and antioxidant active packaging as a synergistic multi-hurdle strategy, demonstrating their combined ability to extend shelf life while modulating the microbiome and resistome of minimally processed cherry tomatoes. Full article
(This article belongs to the Special Issue Postharvest Technologies to Enhance Food Quality and Safety)
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25 pages, 4526 KB  
Article
The Tantawy Technique for Modeling Fractional Kinetic Alfvén Solitary Waves in an Oxygen–Hydrogen Plasma in Earth’s Upper Ionosphere
by Shaukat Ali Shan, Wedad Albalawi, Rania A. Alharbey and Samir A. El-Tantawy
Fractal Fract. 2025, 9(11), 705; https://doi.org/10.3390/fractalfract9110705 - 31 Oct 2025
Cited by 11 | Viewed by 1047
Abstract
Kinetic Alfvén waves (KAWs) are investigated in an Oxygen–Hydrogen plasma with electrons following the behavior of rq-distribution in an upper ionosphere. We aim to study low-frequency and long wavelengths at 1700 kms in the upper ionosphere of Earth as detected by [...] Read more.
Kinetic Alfvén waves (KAWs) are investigated in an Oxygen–Hydrogen plasma with electrons following the behavior of rq-distribution in an upper ionosphere. We aim to study low-frequency and long wavelengths at 1700 kms in the upper ionosphere of Earth as detected by Freja satellite. The fluid model and reductive perturbation method are combined to obtain the evolutionary wave equations that can be used to describe both fractional and non-fractional KAWs in an Oxygen–Hydrogen ion plasma. This procedure is used to obtain the integer-order Korteweg–de Vries (KdV) equation and then analyze its solitary wave solution. In addition, this study is carried out to evaluate the fractional KdV (FKdV) equation using a new approach called the “Tantawy technique” in order to generate more stable and highly accurate approximations that will be utilized to accurately depict physical events. This investigation also helps locate the existence regions of the solitary waves (SWs), and in turn displays that the characteristics of KAWs are affected by a number of physical factors, such as the nonthermal parameters/spectral indices “r”, “q”, and obliqueness (characterized by lz). Depending on the parameter governing the distribution, especially the nonthermality of inertialess electrons, the rq-distribution of electrons has a major impact on the properties of KAWs. Full article
(This article belongs to the Special Issue Time-Fractal and Fractional Models in Physics and Engineering)
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13 pages, 1686 KB  
Article
The Influence of Ultrashort Laser Pulse Duration on Shock Wave Generation in Water Under Tight Focusing Conditions
by Nikita Rishkov, Nika Asharchuk, Vladimir Yusupov and Evgenii Mareev
Photonics 2025, 12(11), 1067; https://doi.org/10.3390/photonics12111067 - 28 Oct 2025
Viewed by 1402
Abstract
The control of mechanical effects, such as shock waves, induced by ultrashort laser pulses in water is crucial for applications in biomedicine and material processing. However, optimizing these effects requires a detailed understanding of how laser parameters, particularly pulse duration, influence the underlying [...] Read more.
The control of mechanical effects, such as shock waves, induced by ultrashort laser pulses in water is crucial for applications in biomedicine and material processing. However, optimizing these effects requires a detailed understanding of how laser parameters, particularly pulse duration, influence the underlying energy deposition mechanisms. This study systematically investigates the dependence of shock wave amplitude on fluence (up to 10 J/cm2) and pulse duration (200 fs to 10 ps) of near-infrared laser pulses under tight focusing conditions (Numerical aperture NA = 0.42), using a combined experimental and numerical approach based on the dynamical rate equation model. Our key finding is that the shock wave amplitude is governed by the total kinetic energy of the electrons in the laser-induced plasma, leading to a distinct maximum at approximately 5 ps (confidence interval: 4.5–5.5 ps) and saturation at fluences ~7 J/cm2. This optimum arises from a balance between the increasing effectiveness of avalanche ionization for longer pulses and the competing effects of electron recombination and reduced photoionization efficiency. Consequently, these results identify a practical parameter window—pulse durations of 4–6 ps at moderate fluences—for optimizing laser-induced mechanical effects in applications such as laser surgery in aqueous media. Full article
(This article belongs to the Section Optical Interaction Science)
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26 pages, 3019 KB  
Article
Energy Analysis, Soliton Dynamics, Chaos, and Sensitivity Analysis for a Forced Damped Gardner Model
by Syed T. R. Rizvi, Atef F. Hashem, Aiman Shahbaz, Zunaira Iqbal, Ijaz Ali, A. S. Al-Moisheer and Aly R. Seadawy
Symmetry 2025, 17(9), 1529; https://doi.org/10.3390/sym17091529 - 12 Sep 2025
Cited by 2 | Viewed by 1069
Abstract
In this study, the complete discrimination system for the polynomial method (CDSPM) is employed to analyze the integrable Gardner Equation (IGE). Through a traveling wave transformation, the model is reduced to a nonlinear ordinary differential equation, enabling the derivation of a wide class [...] Read more.
In this study, the complete discrimination system for the polynomial method (CDSPM) is employed to analyze the integrable Gardner Equation (IGE). Through a traveling wave transformation, the model is reduced to a nonlinear ordinary differential equation, enabling the derivation of a wide class of exact solutions, including trigonometric, hyperbolic, rational, and Jacobi elliptic functions. For example, a bright soliton solution is obtained for parameters A=1.3, β=0.1, and γ=0.8. Qualitative analysis reveals diverse phase portraits, indicating the presence of saddle points, centers, and cuspidal points depending on parameter values. Chaos and quasi-periodic dynamics are investigated via Poincaré maps and time-series analysis, where chaotic patterns emerge for values like ν1=1.45, ν2=2.18, Ξ0=4, and λ=2π. Sensitivity analysis confirms the model’s sensitivity to initial conditions χ=2.2,2.4,2.6, reflecting real-world unpredictability. Additionally, the energy balance method (EBM) is applied to approximate periodic solutions by conserving kinetic and potential energies. These results highlight the IGE’s ability to capture complex nonlinear behaviors relevant to fluid dynamics, plasma waves, and nonlinear optics. Full article
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28 pages, 4033 KB  
Article
Assessing Jarosite Kinetic Dissolution Rates at Acidic Conditions and Different Temperatures
by Mateus De Souza Buriti, Marie Poulain, Pierre Cézac and Lidia Casás
Minerals 2025, 15(9), 965; https://doi.org/10.3390/min15090965 - 11 Sep 2025
Cited by 3 | Viewed by 1888
Abstract
K-jarosite (KFe3(SO4)2(OH)6), the most common jarosite-type mineral in natural and industrial settings, has been widely studied to understand its dissolution behavior in both environmental and industrial contexts. However, reported kinetic data remain inconsistent due to [...] Read more.
K-jarosite (KFe3(SO4)2(OH)6), the most common jarosite-type mineral in natural and industrial settings, has been widely studied to understand its dissolution behavior in both environmental and industrial contexts. However, reported kinetic data remain inconsistent due to the combined influence of kinetic factors, despite the importance of such data for optimizing system conditions and improving process control and environmental management. The present work aims to help elucidate K-jarosite dissolution by carrying out new experiments in sulfuric acid medium (pH 1 and 2) at different temperatures (296, 323 and 343 K) and using two initial concentrations (0.4 and 1 g of K-jarosite/kg of solution). K-jarosite was synthesized and characterized by analytical techniques (XRD, SEM and BET), and the composition was determined by induction-coupled plasma optical emission spectroscopy (ICP-OES). Derivative (DVKM), Noyes–Whitney (NWKM) and Shrinking Core (SCKM) kinetic models previously used in the literature of jarosite-type compounds were adjusted to the data obtained here and compared. The results showed that higher temperatures and lower pH led to faster dissolution rates. Smaller initial concentrations decreased the rates slightly but had less impact than the other variables. Experiments at pH 1 led to the dissolution of all jarosite solids, while at pH 2 they led to incomplete dissolution. Remarkably, at pH 2 and at higher temperatures (mainly at 343 K), there was slight reprecipitation of the iron. XRD analysis identified no peak other than K-jarosite peaks after dissolution. DVKM and NWKM represented the effect of the studied parameters well. However, only using SCKM was a kinetic equation describing the dissolution process obtained. While the behavior of the kinetic curve is well established, the model fails to correctly describe the induction period. Under extreme conditions (>323 K, pH 1), dissolution is described by a chemical reaction controlling stage and it changes to mass transport in mild conditions. As theoretically expected, the results obtained in this work give important information about the prediction of the behavior of jarosite dissolution in terrestrial environments (acid mine and acid rock drainages) and hydrometallurgical process in mild acidic conditions and high temperatures. Full article
(This article belongs to the Section Environmental Mineralogy and Biogeochemistry)
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18 pages, 1320 KB  
Article
Withdrawal Time Estimation and Dietary Risk Assessment of Sulfamethoxazole in GIFT Tilapia (GIFT Oreochromis niloticus) After Oral Administration
by Xinyue Wang, Ruiqi Fan, Saisai Wang, Yuanyuan Ren, Xin Zhang, Yingchun Mu, Sudong Xia, Xiaoyu Wang and Bo Cheng
Vet. Sci. 2025, 12(6), 598; https://doi.org/10.3390/vetsci12060598 - 18 Jun 2025
Cited by 2 | Viewed by 2567
Abstract
Sulfamethoxazole (SMZ), a widely used broad-spectrum antibiotic in aquaculture, lacks comprehensive research on its residual elimination kinetics in tilapia. This study investigated SMZ residue depletion, withdrawal periods, and dietary risks in 1-year-old GIFT tilapia (Genetically Improved Farmed Tilapia Oreochromis niloticus) weighing 500 [...] Read more.
Sulfamethoxazole (SMZ), a widely used broad-spectrum antibiotic in aquaculture, lacks comprehensive research on its residual elimination kinetics in tilapia. This study investigated SMZ residue depletion, withdrawal periods, and dietary risks in 1-year-old GIFT tilapia (Genetically Improved Farmed Tilapia Oreochromis niloticus) weighing 500 ± 50 g, following oral gavage administration of a loading dose (200 mg/kg BW on day 1) and then 100 mg/kg BW daily for 6 more days, at 22 ± 2 °C. Tissue samples (plasma, muscle, skin, liver, kidney, gill, and remaining tissues) were collected from five fish per time point at intervals from 0.33 to 30 days post-administration, with SMZ residues quantified via HPLC-MS/MS. Results revealed peak SMZ concentrations at 0.33 days (8 h), ordered as liver > skin > plasma > kidney > remaining tissues > gill > muscle. Muscle residues fell below the maximum residue limit (MRL, 100 μg/kg) by day 3, while skin required 10 days. Kidney residues dropped below the limit of detection (LOD) earliest (16 days), followed by muscle, gill, and remaining tissues (25 days), whereas plasma, liver, and skin retained detectable levels until day 30. Elimination equations for SMZ across tissues exhibited first-order kinetics. Based on the specific conditions of this study, a minimum 11-day withdrawal period is recommended for edible tissues (muscle + skin) after SMZ administration. Hazard quotient (HQ) values for all tissues remained below the safety threshold (HQ = 1), indicating low dietary risk. These findings support SMZ use standardization in tilapia aquaculture to ensure food safety compliance. Full article
(This article belongs to the Section Veterinary Physiology, Pharmacology, and Toxicology)
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25 pages, 321 KB  
Article
Analytical and Geometric Foundations and Modern Applications of Kinetic Equations and Optimal Transport
by Cécile Barbachoux and Joseph Kouneiher
Axioms 2025, 14(5), 350; https://doi.org/10.3390/axioms14050350 - 4 May 2025
Viewed by 2867
Abstract
We develop a unified analytical framework that systematically connects kinetic theory, optimal transport, and entropy dissipation through the novel integration of hypocoercivity methods with geometric structures. Building upon but distinctly extending classical hypocoercivity approaches, we demonstrate how geometric control, via commutators and curvature-like [...] Read more.
We develop a unified analytical framework that systematically connects kinetic theory, optimal transport, and entropy dissipation through the novel integration of hypocoercivity methods with geometric structures. Building upon but distinctly extending classical hypocoercivity approaches, we demonstrate how geometric control, via commutators and curvature-like structures in probability spaces, resolves degeneracies inherent in kinetic operators. Centered around the Boltzmann and Fokker–Planck equations, we derive sharp exponential convergence estimates under minimal regularity assumptions, improving on prior methods by incorporating Wasserstein gradient flow techniques. Our framework is further applied to the study of hydrodynamic limits, collisional relaxation in magnetized plasmas, the Vlasov–Poisson system, and modern data-driven algorithms, highlighting the central role of entropy as both a physical and variational tool across disciplines. By bridging entropy dissipation, optimal transport, and geometric analysis, our work offers a new perspective on stability, convergence, and structure in high-dimensional kinetic models and applications. Full article
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14 pages, 2787 KB  
Article
Decomposition Kinetics and Lifetime Estimation of Thermoplastic Composite Materials Reinforced with rCFRP
by Juana Abenojar, Gladis Miriam Aparicio, José Antonio Butenegro, Mohsen Bahrami and Miguel Angel Martínez
Materials 2024, 17(9), 2054; https://doi.org/10.3390/ma17092054 - 27 Apr 2024
Cited by 4 | Viewed by 2497
Abstract
Because of the high demand for carbon fiber reinforced polymer (CFRP) materials across all industries, the reuse and/or recycling of these materials (rCFRP) is necessary in order to meet the principles of the circular economy, including recycling and reuse. The objective of this [...] Read more.
Because of the high demand for carbon fiber reinforced polymer (CFRP) materials across all industries, the reuse and/or recycling of these materials (rCFRP) is necessary in order to meet the principles of the circular economy, including recycling and reuse. The objective of this study is to estimate the lifespan of thermoplastic matrix composite materials reinforced with waste materials (CFRP), which undergo only a mechanical cutting process. This estimation is carried out through the thermal decomposition of polymers, including polymer matrix composite materials, which is a complex process due to the numerous reactions involved. Some authors calculate these kinetic parameters using thermogravimetric analysis (TGA) as it is a quick method, and it allows the identification of gases released during decomposition, provided that the equipment is prepared for it. This study includes a comparison between polyamides 11 and 12, as well as between polyamide composite materials with carbon fiber (CF) and polyamides reinforced with CF/epoxy composite material. The latter is treated with plasma to improve adhesion with polyamides. The behavior of weight as a function of temperature was studied at speeds of 3, 6, 10, 13, 17, and 20 °C/min, finding stability of the polyamides up to a temperature of 400 °C, which was consistent with the analysis by mass spectroscopy, where gas evolution is evident after 400 °C. The estimation of the lifespan was carried out using two different methods including the Toop equation and the free kinetics model (MFK). The energy of the decomposition process was determined using the MFK model, which establishes the energy as a function of the degree of conversion. It is estimated that at 5% decomposition, mechanical properties are lost. Full article
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32 pages, 12144 KB  
Review
Optimal Conditions for the Generation of Runaway Electrons in High-Pressure Gases
by Andrey Kozyrev and Victor Tarasenko
Plasma 2024, 7(1), 201-232; https://doi.org/10.3390/plasma7010013 - 15 Mar 2024
Cited by 8 | Viewed by 4028
Abstract
Runaway electron (RAE) generation in high-pressure gases is an important physical phenomenon that significantly influences discharge shapes and properties of initiated plasma. The diffuse discharges formed due to RAEs in the air and other gases at atmospheric pressure find wide applications. In the [...] Read more.
Runaway electron (RAE) generation in high-pressure gases is an important physical phenomenon that significantly influences discharge shapes and properties of initiated plasma. The diffuse discharges formed due to RAEs in the air and other gases at atmospheric pressure find wide applications. In the present review, theoretical and experimental results that explain the reason for RAE occurrence at high pressures are analyzed, and recommendations are given for the implementation of conditions under which the runaway electron beam (RAEB) with the highest current can be obtained at atmospheric pressure. The experimental results were obtained using subnanosecond, nanosecond, and submicrosecond generators, including those specially developed for runaway electron generation. The RAEBs were recorded using oscilloscopes and collectors with picosecond time resolution. To theoretically describe the phenomenon of continuous electron acceleration, the method of physical kinetics was used based on the Boltzmann kinetic equation that takes into account the minimum but sufficient number of elementary processes, including shock gas ionization and elastic electron scattering. The results of modeling allowed the main factors to be established that control the RAE appearance, the most important of which is electron scattering on neutral atoms and/or molecules. Theoretical modeling has allowed the influence of various parameters (including the voltage, pressure, gas type, and geometrical characteristics of the discharge gap) to be taken into account. The results of the research presented here allow RAE accelerators with desirable parameters to be developed and the possibility of obtaining diffuse discharges to be accessed under various conditions. The review consists of the Introduction, five sections, the Conclusion, and the References. Full article
(This article belongs to the Special Issue Latest Review Papers in Plasma Science 2023)
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