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Keywords = vacuum energy

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28 pages, 1246 KB  
Review
Research Progress in the Preparation of Lactide
by Meiqi Tian, Yingjian Zhou, Junhao Wang, Ziqi Cai, Zhipeng Li and Zhengming Gao
Polymers 2026, 18(12), 1484; https://doi.org/10.3390/polym18121484 (registering DOI) - 12 Jun 2026
Viewed by 261
Abstract
Driven by the growing demand for sustainable polymers, polylactic acid (PLA) has attracted increasing attention due to its renewable origin and biodegradability. Lactide, the key cyclic monomer for PLA production via ring-opening polymerization (ROP), plays a decisive role in determining the molecular weight, [...] Read more.
Driven by the growing demand for sustainable polymers, polylactic acid (PLA) has attracted increasing attention due to its renewable origin and biodegradability. Lactide, the key cyclic monomer for PLA production via ring-opening polymerization (ROP), plays a decisive role in determining the molecular weight, stereoregularity, and final performance of PLA materials. However, current lactide synthesis processes still face significant challenges, including competing side reactions under high-temperature and high-vacuum conditions, difficulties in controlling stereochemical purity, and relatively high energy consumption. In this review, recent advances in lactide synthesis are systematically analyzed by examining the two principal industrial routes: the one-step process based on the direct dehydration–cyclization of lactic acid (LA), and the two-step process involving prepolymerization of LA followed by depolymerization/cyclization of oligomeric intermediates. The reaction mechanisms, key intermediates, and major side reactions—including racemization, transesterification, and deep polycondensation—are discussed, together with the regulatory roles of catalytic systems and reaction–separation coupling strategies. Comparative analysis reveals that the one-step route offers advantages in process integration and potential energy efficiency, whereas the two-step route provides superior control over stereochemical purity and process stability. Future research directions focusing on green catalysts, process intensification, and sustainable lactide production are also highlighted. Full article
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16 pages, 3256 KB  
Article
Nacre-Inspired Flexible Mxene-Based Films for Multifunctional Applications in Supercapacitors and Piezoresistive Sensors
by Beibei Wang, Licheng Zhou, Sentao Wei, Qiuhang Zhu, Qun Wu and Chuan Cao
Sensors 2026, 26(12), 3762; https://doi.org/10.3390/s26123762 (registering DOI) - 12 Jun 2026
Viewed by 263
Abstract
The explosive demand for flexible wearable and portable devices imposes stringent requirements on the mechanical, energy storage, and sensing properties of functional materials. Although two-dimensional (2D) transition metal carbides and nitrides (MXene) possess high conductivity and pseudocapacitance, their severe self-restacking and intrinsic brittleness [...] Read more.
The explosive demand for flexible wearable and portable devices imposes stringent requirements on the mechanical, energy storage, and sensing properties of functional materials. Although two-dimensional (2D) transition metal carbides and nitrides (MXene) possess high conductivity and pseudocapacitance, their severe self-restacking and intrinsic brittleness restrict their practical applications. Herein, a facile vacuum filtration and hot-pressing densification strategy is proposed to fabricate nacre-inspired MXene-based films. By incorporating one-dimensional (1D) high-aspect-ratio TEMPO-oxidized cellulose nanofibrils (TOCNFs), the self-restacking of MXene is effectively suppressed. The optimal M20F5 composite film exhibits a coordinated electromechanical balance, maintaining an electrical conductivity of 1.07 × 106 S m−1 while enduring 2124 folding cycles. For energy storage, the assembled symmetric supercapacitor delivers a specific capacitance of 828.92 F g−1 at 0.5 mA cm−2 and maintains an energy density of 13.75 Wh kg−1 at a power density of 9500 W kg−1. Furthermore, acting as a piezoresistive sensor, the film achieves reliable detection, spanning from bimodal gait recognition to subtle physiological pulses. This work establishes a viable material design strategy for next-generation supercapacitors and intelligent wearable systems. Full article
(This article belongs to the Special Issue 2D Materials for Advanced Sensing Technology)
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26 pages, 2703 KB  
Article
Surface-Resolved Multiphysics Modeling and Analysis of Current-Carrying Wear in Slip Rings Under Eccentric Runout
by Dehai Zhang, Yang Song and Zizhen Yang
Machines 2026, 14(6), 674; https://doi.org/10.3390/machines14060674 - 9 Jun 2026
Viewed by 110
Abstract
Slip ring–brush assemblies are widely used in satellite mechanisms to transmit power and signals across rotating interfaces. Under authentic space environments—vacuum, radiation-dominated thermal exchange, and long-duration operation—the coupled effects of mechanical contact dynamics, electrical conduction, intermittent separation, and arcing can accelerate wear and [...] Read more.
Slip ring–brush assemblies are widely used in satellite mechanisms to transmit power and signals across rotating interfaces. Under authentic space environments—vacuum, radiation-dominated thermal exchange, and long-duration operation—the coupled effects of mechanical contact dynamics, electrical conduction, intermittent separation, and arcing can accelerate wear and degrade reliability. This paper presents a surface-resolved multiphysics model for multi-track slip rings with staggered brushes. The ring surface is discretized on a circumferential–axial grid and endowed with correlated 3D roughness, enabling interference-based asperity contact. Brush normal dynamics (mass–spring–damper) convert runout and micro-vibration into normal-force ripple and separation events. Electrical conduction is modeled by a parallel admittance network combining pressure-dependent micro-contact conduction and an event-based arc channel activated by separation, opening velocity, and current density with stochastic ignition. A 2D thermal model with ADI integration accounts for Joule/friction heating, radiative cooling, and optional hub conduction. Wear evolves via an Archard-type mechanical term and an arc-energy-driven erosive term. A FAST–MACRO multiscale scheme (20 s FAST, 100 h MACRO with periodic recalibration) enables tractable long-horizon wear prediction while preserving arc statistics. Baseline simulations for a 28 V bus demonstrate rare but nonzero arc activity and predict spatially non-uniform wear at the micrometer scale after 100 h. Full article
(This article belongs to the Section Friction and Tribology)
12 pages, 5520 KB  
Article
Preparation of PNT@SiO2 Aerogel Composite Phase Change Material with Oriented Structure and Its Thermal Management Characteristics for Battery
by Silong Wang, Wei Yan, Pan Sun and Jun Yuan
Nanomaterials 2026, 16(12), 709; https://doi.org/10.3390/nano16120709 - 9 Jun 2026
Viewed by 210
Abstract
Power batteries used in electric-powered vessels, new-energy tractors or construction machinery typically require prolonged, continuous operation at high power levels, which can lead to significant heat buildup and pose serious threats to battery safety, cycle life, and operational stability. Traditional air-cooled and liquid-cooled [...] Read more.
Power batteries used in electric-powered vessels, new-energy tractors or construction machinery typically require prolonged, continuous operation at high power levels, which can lead to significant heat buildup and pose serious threats to battery safety, cycle life, and operational stability. Traditional air-cooled and liquid-cooled systems struggle to meet the requirements for efficient heat dissipation under heavy loads. Phase change materials (PCMs) are ideal for passive battery thermal management due to their high latent heat but are severely limited by low thermal conductivity and liquid leakage. In this study, nitrogen-doped carbon nanotubes@SiO2 (PNT@SiO2) were synthesized and further fabricated into oriented porous aerogels by directional freeze-drying using cellulose-based materials as the skeleton. Polyethylene glycol-8000 (PEG-8000) was loaded via vacuum impregnation to obtain the PSAP composite PCM. The optimized composite exhibits a thermal conductivity of 0.93 W/m·K, 3.2 times that of pure PEG, with 96% PEG loading and a phase change enthalpy of 158 J/g. Battery thermal management tests demonstrate its excellent temperature control and heat suppression performance. This study provides a high-performance and feasible thermal management solution for power batteries used in relevant fields. Full article
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22 pages, 9450 KB  
Article
Comparative Mechanical Performance of Alkali-Treated Unidirectional Flax/Epoxy and Hemp/Epoxy Composite Manufactured via VARIM
by Sohan Kumar Y, Madhav Sonkusare, Niranjan N Prabhu, Krishna Kumar P and Nagaraja Shetty
Sci 2026, 8(6), 133; https://doi.org/10.3390/sci8060133 - 9 Jun 2026
Viewed by 247
Abstract
Fibre-reinforced polymer composites incorporating synthetic reinforcements such as glass and carbon fibres are widely used due to their superior mechanical performance. However, their energy-intensive production and end-of-life disposal contribute to an increased carbon footprint and significant environmental burden. Natural fibre-reinforced composites have emerged [...] Read more.
Fibre-reinforced polymer composites incorporating synthetic reinforcements such as glass and carbon fibres are widely used due to their superior mechanical performance. However, their energy-intensive production and end-of-life disposal contribute to an increased carbon footprint and significant environmental burden. Natural fibre-reinforced composites have emerged as promising low impact alternatives, but variability in their mechanical performance and the lack of controlled comparative studies limit their structural application. This study presents a controlled experimental comparison of alkaline-treated unidirectional flax/epoxy and hemp/epoxy composites fabricated using the vacuum-assisted resin infusion moulding (VARIM) process. Alkali treatment was employed to enhance the fibre–matrix interfacial bonding. Mechanical characterization was conducted through tensile, flexural, impact, interlaminar shear strength (ILSS), and Vickers microhardness testing in accordance with relevant ASTM and ISO standards. The flax/epoxy composites exhibited superior in-plane mechanical performance including, 9.1% higher tensile modulus, 13.8% higher flexural strength and 20.5% higher flexural modulus compared to hemp/epoxy composites. A significant improvement was observed in impact performance, with hemp composites showing 87.4% higher impact strength, indicating enhanced resistance to dynamic loading. Conversely, hemp/epoxy composites demonstrated a 10.6% higher ILSS, suggesting improved interfacial shear resistance and fibre interlocking. These findings confirm that the fibre type significantly influences composite performance, with flax fibres providing superior stiffness and strength, while hemp fibres offer better interlaminar shear behaviour and impact strength. Scanning Electron Microscopy (SEM) fractographic analysis was additionally conducted on fracture surfaces to characterize failure mechanisms and fibre–matrix interfacial morphology. The present study provides a reliable comparative framework for material selection and demonstrates the potential of flax- and hemp-based composites as sustainable alternatives for lightweight structural applications. This study supports the development of sustainable composite materials and contributes to the United Nations Sustainable Development Goals (SDGs), particularly SDG 12 (Responsible Consumption and Production), SDG 13 (Climate Action), and SDG 11 (Sustainable Cities and Communities). Full article
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56 pages, 7632 KB  
Review
Research Progress on Advanced Molding Technologies for Carbon Fiber-Reinforced Polymer Composites: Defect Control and Process Optimization
by Qun Li, Xufeng Song, Longzhan Zheng, Guangxi Li, Qingqing Lü, Liquan Yang, Erbo Liu, Yuqin Ma and Zhoukui Li
Fibers 2026, 14(6), 69; https://doi.org/10.3390/fib14060069 - 8 Jun 2026
Viewed by 340
Abstract
Carbon fiber-reinforced polymer (CFRP) composites are in urgent demand in the aerospace, new energy vehicle, and wind power sectors owing to their superior specific strength, specific modulus, and lightweight potential. However, molding defects, such as voids, dry spots, and delamination, arising from their [...] Read more.
Carbon fiber-reinforced polymer (CFRP) composites are in urgent demand in the aerospace, new energy vehicle, and wind power sectors owing to their superior specific strength, specific modulus, and lightweight potential. However, molding defects, such as voids, dry spots, and delamination, arising from their anisotropy and weak interlaminar bonding, severely constrain their service performance. Advanced molding technologies represent the key to overcoming this bottleneck. This paper systematically reviews typical advanced molding technologies in the field of CFRP composites, including resin transfer molding (RTM) and vacuum-assisted resin transfer molding (VARTM) in liquid composite molding, autoclave molding and compression molding (CM) in prepreg molding, and automated fiber placement (AFP) and material extrusion (ME) in automated molding. From an integrated perspective of “technological evolution–process characteristics–defect mechanisms–optimization strategies,” this review summarizes the technical principles, development trajectories, and core advantages of each process, analyzes the formation mechanisms of typical defects, including voids, dry spots, delamination, wrinkles, warpage, and melt instability, and summarizes multidimensional optimization advances in process parameter regulation, numerical simulation, resin modification, equipment upgrading, path planning, and thermal management. Furthermore, the differences and complementarities among these processes in terms of molding precision, efficiency, cost, and applicable scope are compared. Finally, future development directions, including digital twins, green low-carbon manufacturing, ultra-large integrated structures, multi-process integration, standardized defect characterization, and low-cost collaborative design, are discussed. This paper aims to provide systematic theoretical references and technical support for the optimization and upgrading, process integration, and industrial application of advanced CFRP molding technologies. Full article
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16 pages, 3355 KB  
Article
Parametric Optimization and Performance Analysis of an Internally Cooled Structured Reactor for CO2 Direct Air Capture via Temperature–Vacuum Swing Adsorption
by Jiale Zheng, Wenqi Fan, Chuanruo Yang, Ming Xue, Zhexuan An, Xinglei Zhao, Xingchun Li, Aiguo Zhou and Liang Huang
Molecules 2026, 31(11), 1976; https://doi.org/10.3390/molecules31111976 - 5 Jun 2026
Viewed by 241
Abstract
Direct air capture (DAC) based on adsorption is a promising negative-emission technology owing to its operational flexibility, modular deployment potential, and comparatively low regeneration temperature. In this study, a dynamic three-dimensional mathematical model was developed to investigate a structured adsorption-based DAC reactor operating [...] Read more.
Direct air capture (DAC) based on adsorption is a promising negative-emission technology owing to its operational flexibility, modular deployment potential, and comparatively low regeneration temperature. In this study, a dynamic three-dimensional mathematical model was developed to investigate a structured adsorption-based DAC reactor operating under a temperature–vacuum swing adsorption cycle. The model couples heat and mass transfer among the gas, adsorbent, metal structure, and heat-transfer fluid and was used to evaluate the temporal and spatial evolution of temperature and CO2 adsorption capacity during adsorption and regeneration. The effects of internal cooling, heat-source temperature, and vacuum pressure on cyclic performance were systematically analyzed. The results show that introducing an internal cooling source significantly accelerates adsorbent-bed cooling and increases the cyclic working capacity by approximately 10%. Parametric simulations indicate that higher regeneration temperature and lower vacuum pressure enhance CO2 desorption, with optimal performance achieved at a heat-source temperature of 90 °C and a vacuum pressure of 1 kPa. Under these conditions, the DAC system reaches an annual CO2 productivity of 125 tCO2·year−1, with mechanical and thermal energy consumptions of 4.72 and 11.91 GJ·tCO2−1, respectively. This work provides a useful modeling framework for reactor design and operating-parameter optimization in adsorption-based DAC systems. Full article
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22 pages, 17827 KB  
Article
Evaluation of Various Drying Methods for Polygonatum cyrtonema Hua: Effects on Drying Characteristics and Multidimensional Quality Assessment
by Liling Wang
Foods 2026, 15(11), 2035; https://doi.org/10.3390/foods15112035 - 5 Jun 2026
Viewed by 123
Abstract
The drying kinetics and quality attributes of Polygonatum cyrtonema Hua (PCH), including color, rehydration efficiency, microstructure, and oxidation resistance, were systematically evaluated under various drying methods: hot-air drying (H-D), infrared drying (IR-D), microwave drying (M-D), freeze-drying (F-D), and vacuum drying (V-D). The results [...] Read more.
The drying kinetics and quality attributes of Polygonatum cyrtonema Hua (PCH), including color, rehydration efficiency, microstructure, and oxidation resistance, were systematically evaluated under various drying methods: hot-air drying (H-D), infrared drying (IR-D), microwave drying (M-D), freeze-drying (F-D), and vacuum drying (V-D). The results indicate that the Midilli model provides the best fit for the experimental data. Among the five drying methods, hot air drying (H-D) is extensively utilized due to its well-established technology; however, its drying performance is relatively average. M-D and IR-D exhibit high drying rates attributed to their strong thermal permeability. Notably, M-D achieves the highest drying rate, with a drying time of only 1/83 that of F-D, yet it demonstrates a relatively low retention rate of total polysaccharides. Furthermore, while IR-D offers fast drying rates, low energy consumption, and favorable color preservation, it performs poorly in preserving the microstructure, active component content, and oxidation resistance of PCH. By contrast, F-D and V-D exhibit significant advantages in maintaining antioxidant activity, active ingredients, and flavor. Nevertheless, F-D requires an extended duration (1080 min), leading to high energy consumption, which restricts its large-scale industrial application. This comprehensive analysis revealed that V-D achieves an optimal balance between energy consumption and product quality, demonstrating substantial advantages and providing a critical reference for the industrial drying production of PCH. Full article
(This article belongs to the Section Food Engineering and Technology)
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19 pages, 4741 KB  
Article
Multi-Phase Evolution and Surface Degradation Kinetics of a Non-Equiatomic (FeCoNiCr)85Ga15 High Entropy Alloy: The Role of Low-Temperature Thermal Activation
by Emmanuel Georgatis, Stavros Kiape, Margarita Ziavra, Anthoula Poulia and Alexander E. Karantzalis
Crystals 2026, 16(6), 376; https://doi.org/10.3390/cryst16060376 - 3 Jun 2026
Viewed by 250
Abstract
This study provides a rigorous analysis of the phase stability, mechanical behavior, and surface integrity of a non-equiatomic (FeCoNiCr)85Ga15 high-entropy alloy (HEA). By transitioning from the conventional equiatomic design to a gallium-doped 3d-transition metal matrix, we explore the interplay between [...] Read more.
This study provides a rigorous analysis of the phase stability, mechanical behavior, and surface integrity of a non-equiatomic (FeCoNiCr)85Ga15 high-entropy alloy (HEA). By transitioning from the conventional equiatomic design to a gallium-doped 3d-transition metal matrix, we explore the interplay between lattice distortion and phase separation. Synthesized via vacuum arc melting, the as-cast alloy exhibits a non-homogeneous dendritic morphology consisting of a Cr-Fe-Co rich face-centered cubic (FCC) matrix and Ni-Ga rich body-centered cubic (BCC) interdendritic regions. While global thermodynamic criteria (δ = 3.65, ΔHmix = −9.28 kJ/mol, and Ω = 2.23) favor single-phase solid solution stability, the Valence Electron Concentration (VEC = 7.46) precisely forecasts this dual-phase structure. Following low-temperature annealing at 250 °C for 24 h, high lattice strain energy drives a significant morphological transformation where the continuous interdendritic network resolves into discrete, phase-separated B2/BCC “islands”. Mechanical and tribological characterizations reveal that this low-temperature thermal activation triggers precipitate hardening; the macro-hardness increases from 146 ± 11 HB to 153 ± 7.5 HB and the micro-hardness rises from 186 ± 4 HV0.5 to 206 ± 17.5 HV0.5, yielding enhanced resistance to oxidation-delamination wear. However, electrochemical evaluation in a 3.5 wt.% NaCl solution highlights a fundamental trade-off: the formation of localized galvanic micro-cells between the phase-separated islands and the matrix causes the corrosion current density (icorr) to increase from ≈10−9 A/cm2 in the as-cast state to ≈10−6 A/cm2 post-heat treatment, accompanied by a heightened susceptibility to localized pitting. These findings elucidate the primary role of electronic structure and minor p-block additions in regulating the lifecycle performance of transition metal HEAs under extreme conditions. Full article
(This article belongs to the Section Crystalline Metals and Alloys)
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11 pages, 1015 KB  
Article
Deep Learning-Based Reconstruction of Particle Beam Energy Spectra from Attenuation Curve Data
by Vasily Kozhevnikov, Andrey Kozyrev, Dmitry Sorokin, Victor Tarasenko, Dmitry Beloplotov, Eugene Baksht and Mikhail Lomaev
Plasma 2026, 9(2), 18; https://doi.org/10.3390/plasma9020018 - 2 Jun 2026
Viewed by 190
Abstract
This paper introduces a deep learning-based methodology for reconstructing particle beam energy spectra from experimental attenuation curves. This task involves solving a classic ill-posed inverse problem for a Fredholm integral equation of the first kind. Unlike traditional Arsenin–Tikhonov regularization, the proposed framework utilizes [...] Read more.
This paper introduces a deep learning-based methodology for reconstructing particle beam energy spectra from experimental attenuation curves. This task involves solving a classic ill-posed inverse problem for a Fredholm integral equation of the first kind. Unlike traditional Arsenin–Tikhonov regularization, the proposed framework utilizes two coupled neural networks for spectrum approximation and adaptive kernel correction. This approach explicitly accounts for measurement uncertainties in the experimental data. As a mesh-free technique, it operates directly on raw sparse experimental datasets without preprocessing. Validation using data from subnanosecond electron beams in gas-filled and vacuum diodes demonstrates that the method successfully resolves non-trivial two-peak spectral structures. In particular, it reliably identifies populations of “anomalous” high-energy electrons that are often obscured by classical regularization artifacts. Full article
(This article belongs to the Special Issue New Insights into Plasma Theory, Modeling and Predictive Simulations)
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22 pages, 334 KB  
Article
Global Strong Solutions to the Vacuum Free Boundary Problem for 1D Liquid Crystal Flow with Degenerate Viscosity
by Tong Li, Junhan Wang and Pan Shi
Axioms 2026, 15(6), 412; https://doi.org/10.3390/axioms15060412 - 1 Jun 2026
Viewed by 146
Abstract
In this paper, we consider the one-dimensional liquid crystal flow with a vacuum free boundary and a degenerate viscosity coefficient. The global existence and long-time dynamics of strong solutions are established under a smallness condition on the initial energy at the basic level. [...] Read more.
In this paper, we consider the one-dimensional liquid crystal flow with a vacuum free boundary and a degenerate viscosity coefficient. The global existence and long-time dynamics of strong solutions are established under a smallness condition on the initial energy at the basic level. The main challenges come from the degeneracy near the moving boundary and the strong nonlinear coupling between the velocity and the director field. To overcome these, we obtain uniform-in-time and space point-wise bounds of the deformation variable, and we construct uniform-in-time weighted energy estimates via singular multiplier techniques. Unlike previous works, the density is allowed to vanish and the viscosity coefficient is taken to be density-dependent rather than constant. Full article
(This article belongs to the Section Mathematical Physics)
23 pages, 10786 KB  
Article
Enhanced Wear Resistance of HVOF-Sprayed Cr3C2-25NiCr/NiCr Coatings for Steam Turbine Valve Components: The Role of Vacuum Heat Treatment
by Jian Chen, Wei Wang, Kun He, Xiufang Gong, Xiaoying Cao, Yuhui Peng, Chunmei Tang, Juanqiang Ding, Xin Cao and Zhenbing Cai
Appl. Mech. 2026, 7(2), 48; https://doi.org/10.3390/applmech7020048 - 1 Jun 2026
Viewed by 190
Abstract
This study presents the fabrication of a Cr3C2-25NiCr/NiCr coating on Co3W3 steel utilizing high-velocity oxygen fuel (HVOF) spraying. The effects of the vacuum heat treatment process on the microstructures, mechanical properties, and wear mechanisms of the [...] Read more.
This study presents the fabrication of a Cr3C2-25NiCr/NiCr coating on Co3W3 steel utilizing high-velocity oxygen fuel (HVOF) spraying. The effects of the vacuum heat treatment process on the microstructures, mechanical properties, and wear mechanisms of the coating were systematically analyzed. The results indicated that the microstructure became denser following heat treatment. During the spraying procedure, decarburization resulted in transformation of the metastable phase structure into a stable one. In comparison to the sprayed coating, there was a 93.8% reduction in porosity. The precipitation of nano-secondary carbides shifted the mechanism of solid-solution strengthening to precipitation strengthening, resulting in a 29.1% increase in microhardness. Meanwhile, the thermal softening effect led to a 114.3% increase in fracture toughness. Wear experiments demonstrated that the friction-induced amorphous structure effectively mitigated stress concentration and inhibited crack initiation. The polycrystalline interface transition region between the nano-secondary carbides and the matrix facilitated the shedding of nano-secondary carbides, forming abrasive particles that generated a rolling effect, which significantly reduced the coefficient of friction. The semi-coherent interface between secondary carbides and NiCr decreased the interfacial energy and enhanced the bonding strength, effectively preventing the shedding of carbides during the wear process. Consequently, a dense microstructure, the type of interface, and high hardness and toughness were critical factors in enhancing its wear resistance. Full article
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25 pages, 6436 KB  
Article
Detoxification and Targeted Conversion of Waste Lithium Battery Electrolyte to Light Hydrocarbons via In Situ Catalytic Pyrolysis: Roles of Li, Ni, Co, and Mn Elements
by Jingyi Wang, Yu Zhang and Lingen Zhang
Separations 2026, 13(6), 163; https://doi.org/10.3390/separations13060163 - 29 May 2026
Viewed by 148
Abstract
Spent lithium-ion battery electrolytes contain fluorine-, sulfur-, and phosphorus-bearing toxins, necessitating deep detoxification and directional conversion into C1–C6 light hydrocarbons. To elucidate the specific catalytic roles and sequential activation of cathode metals (Li, Ni, Co, Mn), this work systematically deconvolutes [...] Read more.
Spent lithium-ion battery electrolytes contain fluorine-, sulfur-, and phosphorus-bearing toxins, necessitating deep detoxification and directional conversion into C1–C6 light hydrocarbons. To elucidate the specific catalytic roles and sequential activation of cathode metals (Li, Ni, Co, Mn), this work systematically deconvolutes their mono- and multi-metallic migration mechanisms over a CaO-ZSM-5* catalyst during vacuum catalytic pyrolysis (530 °C, 100 Pa). Results reveal that Li+ and Ni2+ dominate C–O bond cleavage in carbonates and CaO-ZSM-5*-assisted decarboxylation and oxygen fixation, significantly increasing the relative hydrocarbon content. Conversely, Co2/3+ and Mn4+ release reactive oxygen species, causing deep oxidation of hydrocarbons into CO2 and antagonizing the targeted conversion. In multi-metallic systems, forming composite metal oxides (MxNyOz) increases the energy barrier for releasing active catalytic ions, hindering carbonate cleavage and leaving unreacted carbonate feedstocks. For detoxification, F and P are effectively immobilized as CaF2 and Ca2P2O7. The relative content of detected gas-phase nitriles is minimized to <2% due to the strong antagonistic effect of Ni2+ on Li+-promoted hexanedinitrile cleavage, while sulfur species derived from 1,3-propane sultone are converted to SO2 and ultimately mineralized as calcium and metal-sulfur salts. Mechanistically, product distributions and crystallographic properties suggest a hypothesized sequential activation model—Li+ → Ni2+ → Mn4+—governing reactivity, whereas Co2/3+ does not participate in the synergistic detoxification and selective upgrading process. This migration–reaction coupling framework provides critical insights for cathode-assisted in situ catalytic pyrolysis and closed-loop electrolyte recycling. Full article
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26 pages, 388 KB  
Article
Global Strong Solutions to the One-Dimensional Isentropic Compressible Liquid Crystal Equations with a Vacuum Free Boundary and Large Initial Data
by Pan Shi
Mathematics 2026, 14(11), 1862; https://doi.org/10.3390/math14111862 - 27 May 2026
Viewed by 155
Abstract
In this paper, we establish the global existence and uniqueness of strong solutions to the one-dimensional vacuum free boundary problem for the isentropic compressible liquid crystal equations under the influence of gravity with large initial data, where the density is allowed to vanish [...] Read more.
In this paper, we establish the global existence and uniqueness of strong solutions to the one-dimensional vacuum free boundary problem for the isentropic compressible liquid crystal equations under the influence of gravity with large initial data, where the density is allowed to vanish continuously at the free boundary. The main difficulty is the degeneracy of the momentum equation caused by the vanishing of the density, which prevents standard energy methods from giving pointwise control of the velocity gradient. Working in Lagrangian coordinates, we derive a time-uniform pointwise lower bound and a finite-time pointwise upper bound on the Jacobian ηx, together with a finite L-bound on the velocity gradient vx on any finite time interval [0,T], which, in particular, guarantees that the free boundary is a well-defined C1 curve. This appears to be the first global strong solution result for this problem; the earlier work of Huang and Ding establishes global weak solutions, for which the free boundary is not addressed in a pointwise sense. Full article
36 pages, 1329 KB  
Article
Chiral Quark Soliton Model and Nucleon Parton Distribution Functions
by Masashi Wakamatsu
Symmetry 2026, 18(6), 892; https://doi.org/10.3390/sym18060892 - 24 May 2026
Viewed by 153
Abstract
The chiral quark soliton model (CQSM) is an effective quark model of baryons maximally taking account of the most important feature of low-energy QCD, i.e., the spontaneous chiral symmetry breaking of the QCD vacuum and the associated appearance of Nambu–Goldstone pions. It shares [...] Read more.
The chiral quark soliton model (CQSM) is an effective quark model of baryons maximally taking account of the most important feature of low-energy QCD, i.e., the spontaneous chiral symmetry breaking of the QCD vacuum and the associated appearance of Nambu–Goldstone pions. It shares many common features with the famous Skyrme model in that the baryons are viewed as rotating hedgehog objects in both models. Despite many similarities, it turned out that the CQSM can give more realistic predictions on most baryon observables. Above all, a decisive advantage of the CQSM over the Skyrme-like models is that it can handle non-local quark–quark correlations in baryons, which is absolutely impossible within the framework of effective meson theories. This feature is decisively important for making theoretical predictions on the quark distribution functions inside the nucleon, which are defined as nucleon matrix elements of bilinear quark operators with light-cone separation. In the present paper, we try to elucidate why and how the CQSM can give successful predictions for a variety of types of nucleon quark distribution functions, especially for the flavor asymmetry of the unpolarized and longitudinally polarized sea-quark (anti-quark) distribution functions in the nucleon. Full article
(This article belongs to the Special Issue Chiral Quark Models and Their Applications)
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