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2,304 Results Found

  • Article
  • Open Access
3 Citations
3,178 Views
15 Pages

14 July 2021

Integrative simulation techniques for predicting component properties, based on the conditions during processing, are becoming increasingly important. The calculation of orientations in injection molding, which, in addition to mechanical and optical...

(This article belongs to the Special Issue Artificial Intelligence Techniques for Polymer Processing)
  • Article
  • Open Access
27 Citations
3,575 Views
24 Pages

17 October 2018

The evolution of coal permeability is vitally important for the effective extraction of coal seam gas. A broad variety of permeability models have been developed under the assumption of local equilibrium, i.e., that the fracture pressure is in equili...

(This article belongs to the Special Issue Flow and Transport Properties of Unconventional Reservoirs 2018)
  • Article
  • Open Access
3 Citations
1,507 Views
18 Pages

Coupled Dynamical Systems for Solving Linear Inverse Problems

  • Ryosuke Kasai,
  • Omar M. Abou Al-Ola and
  • Tetsuya Yoshinaga

21 October 2025

We propose a class of coupled dynamical systems for solving linear inverse problems, treating both the unknown variable and an auxiliary variable representing measurement dynamics as state variables. This framework does not rely on probabilistic mode...

(This article belongs to the Special Issue Analytical Approaches to Nonlinear Dynamical Systems and Applications, 3rd Edition)
  • Article
  • Open Access
530 Views
28 Pages

Study on the Non-Equilibrium Dynamic Phase Transition Model for Oil–Gas Systems

  • Hanmin Tu,
  • Yi Peng,
  • Ping Guo,
  • Zhouhua Wang,
  • Shuoshi Wang,
  • Yu Li,
  • Wei Chen,
  • Lidong Wang and
  • Xiang Deng

18 June 2026

In gas-condensate reservoirs, the phase behavior of reservoir fluids is inherently dynamic during pressure depletion. When the rate of external pressure decline exceeds the intrinsic relaxation rate governing phase equilibrium, the system deviates fr...

  • Article
  • Open Access
2 Citations
2,681 Views
22 Pages

23 October 2023

This paper develops the methodology for modeling decision processes in complex controlled dynamic systems. The idea of balancing such systems (driving them to equilibrium) is implemented, and a new mechanism for the equilibria’s stability is pr...

(This article belongs to the Special Issue Modeling and Simulation of Social-Behavioral Phenomena)
  • Article
  • Open Access
1 Citations
661 Views
27 Pages

16 January 2026

Compared to traditional marine productivity, marine new-quality productivity (MNQP) is composed of advanced productive forces driven by the deepening application of new technologies, is characterized by the rapid emergence of new industries, new busi...

(This article belongs to the Section Oceans and Coastal Zones)
  • Article
  • Open Access
415 Views
37 Pages

Economic Entropy and Sectoral Dynamics: A Thermodynamic Approach to Market Analysis

  • Wilson Alexander Rojas Castillo,
  • Alexander Zamora Velandia,
  • Luis Fernando Quijano Wilchez and
  • Yaneth Beltrán Peña

3 July 2026

We develop a geometric thermodynamic framework for the analysis of sectoral economic dynamics grounded in statistical physics principles. By constructing a Legendre-invariant thermodynamic metric within the formalism of geometrothermodynamics (GTD),...

(This article belongs to the Special Issue Entropy-Based Applications in Economics, Finance, and Management, 4th Edition)
  • Article
  • Open Access
6 Citations
4,103 Views
16 Pages

22 May 2020

This study discusses the mechanism for the occurrence of equilibrium and non-equilibrium scour holes. By using a particle image velocimetry (PIV) measurement system, it measures the turbulent flow fields in an open channel moving through the rough be...

(This article belongs to the Section Hydraulics and Hydrodynamics)
  • Article
  • Open Access
3 Citations
2,855 Views
14 Pages

8 July 2021

The definition of temperature in non-equilibrium situations is among the most controversial questions in thermodynamics and statistical physics. In this paper, by considering two numerical experiments simulating charge and phonon transport in graphen...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
3 Citations
3,759 Views
25 Pages

25 January 2023

Present society challenges, including metal scarcity, recycling, and environmental restrictions, resulted in the increased complexity and variability of metallurgical feed streams. Metallurgical processes involving complex lead and copper-containing...

(This article belongs to the Special Issue Pyrometallurgical Extraction of Critical Metals for Sustainable Development)
  • Article
  • Open Access
1 Citations
1,463 Views
20 Pages

A Complexity-Based Approach to Quantum Observable Equilibration

  • Marcos G. Alpino,
  • Tiago Debarba,
  • Reinaldo O. Vianna and
  • André T. Cesário

3 August 2025

We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior, raising the q...

(This article belongs to the Special Issue Quantum Nonstationary Systems—Second Edition)
  • Article
  • Open Access
3 Citations
4,642 Views
20 Pages

Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity

  • Simone Göttlich,
  • Michael Herty and
  • Gediyon Weldegiyorgis

21 January 2021

In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant manufacturing system. By using a suitable Lyapunov function, we prove s...

(This article belongs to the Special Issue Differential Models, Numerical Simulations and Applications)
  • Article
  • Open Access
1,398 Views
24 Pages

9 December 2024

In this study, the surface property parameters of non-swelling variable charge minerals, kaolinite and goethite, were determined using the ion-selective electrode method. The effects of experimental conditions, such as pH, ion concentration ratio, an...

  • Article
  • Open Access
11 Citations
3,117 Views
10 Pages

Time Series Analysis of Climate and Air Pollution Factors Associated with Atmospheric Nitrogen Dioxide Concentration in Japan

  • Takeshi Miyama,
  • Hiroshi Matsui,
  • Kenichi Azuma,
  • Chika Minejima,
  • Yasuyuki Itano,
  • Norimichi Takenaka and
  • Masayuki Ohyama

Nitrogen dioxide (NO2) is an air pollutant discharged from combustion of human activities. Nitrous acid (HONO), measured as NO2, is thought to impact respiratory function more than NO2. HONO and NO2 have an equilibrium relationship, and their reactio...

(This article belongs to the Section Environmental Health)
  • Review
  • Open Access
51 Citations
12,266 Views
18 Pages

Relative Entropy in Biological Systems

  • John C. Baez and
  • Blake S. Pollard

2 February 2016

In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics...

(This article belongs to the Special Issue Information and Entropy in Biological Systems)
  • Article
  • Open Access
3 Citations
3,593 Views
14 Pages

22 September 2021

In the present study, the local equilibrium modeling and division method of the multiphase non-equilibrium for the top-blowing smelting process of electronic waste was investigated based on the local equilibrium hypothesis. And the mathematical descr...

(This article belongs to the Section Extractive Metallurgy)
  • Article
  • Open Access
8 Citations
6,310 Views
19 Pages

18 December 2017

The regime of sediment transport in the Jingjiang Reach has significantly changed from quasi-equilibrium to sub-saturation since the impoundment of the Three Gorges Dam (TGD), and vertical profiles of suspended sediment concentration (SSC) have chang...

(This article belongs to the Special Issue Adaptive Catchment Management and Reservoir Operation)
  • Article
  • Open Access
34 Citations
3,732 Views
14 Pages

26 August 2022

The Dabei deep high-pressure condensate gas field occupies the paramount position in the Tarim Oilfield in China, the exploration and developments of which have been progressing. Since the initial development, the wax deposition and plugging in the w...

(This article belongs to the Special Issue Advanced Petroleum and Nature Gas Exploration Technology)
  • Article
  • Open Access
1 Citations
822 Views
31 Pages

A central goal of neuroeconomics is to understand how humans make decisions and how their neural processes interact during strategic situations. Game theory provides mathematical tools for modeling such interactions, with equilibrium concepts, most n...

(This article belongs to the Section Intelligent Control and Machine Learning)
  • Article
  • Open Access
1 Citations
1,701 Views
17 Pages

Influencing Factors and Calibration of the Direct Vapor Equilibration Method for Measuring Soil Water Isotopes

  • Zhenguo Xing,
  • Ruimin He,
  • Jie Fang,
  • Lu Bai,
  • Xuejia Li,
  • Xiaoqing Liu,
  • Gang Liu and
  • Mingjing Zhou

4 January 2025

The direct vapor equilibration-laser spectroscopy (DVE-LS) method can be used to measure the stable isotopes of soil water (δ2H and δ18O), a technique that is easier to operate and quicker for sampling compared to the traditional cryogeni...

  • Article
  • Open Access
12 Citations
4,704 Views
16 Pages

Heat Transfer and Temperature Characteristics of a Working Digital Camera

  • Shichao Zhou,
  • Haibin Zhu,
  • Qinwei Ma and
  • Shaopeng Ma

30 April 2020

Digital cameras represented by industrial cameras are widely used as image acquisition sensors in the field of image-based mechanics measurement, and their thermal effect inevitably induces thermal-induced errors of the mechanics measurement. To deep...

(This article belongs to the Section Optical Sensors)
  • Article
  • Open Access
5 Citations
5,356 Views
16 Pages

24 August 2021

In this study, we theoretically investigated a generalized stochastic Loewner evolution (SLE) driven by reversible Langevin dynamics in the context of non-equilibrium statistical mechanics. Using the ability of Loewner evolution, which enables encodi...

  • Article
  • Open Access
7 Citations
2,438 Views
19 Pages

21 May 2023

This work aims mainly to study the impact of experiencing asymptomatic anthroponotic cutaneous leishmaniasis (ACL) infection on the overall dynamics and outcomes of the disease. Therefore, a deterministic model for the transmission dynamics of ACL of...

(This article belongs to the Special Issue Mathematical Methods and Models in Epidemiology)
  • Article
  • Open Access
126 Views
15 Pages

Dielectric Relaxation and Equilibrium Thermodynamic Descriptors in Propanol Isomers: Radio-Frequency Measurements and openCOSMO-RS Analysis

  • Samir Azizov,
  • Tarana Nurubeyli,
  • Kamala Khalilova,
  • Nazakat Kerimli,
  • Gunay M. Iskenderova,
  • Asim Abdulla,
  • Gultamam Ganizade,
  • Ijabika Sardarova,
  • Orxan Aliyev and
  • Jeyhun Guliyev
  • + 2 authors

24 September 2026

Dielectric relaxation of n-propanol and isopropanol was examined by radio-frequency measurements at seven fixed frequencies (0.3–32 MHz) over +20 to −160 °C and by openCOSMO-RS calculations. Apparent characteristic times were assigned...

(This article belongs to the Special Issue 30th Anniversary of Molecules—Recent Advances in Physical Chemistry)
  • Article
  • Open Access
3 Citations
6,698 Views
8 Pages

This research article develops a dynamic framework for the Walrasian pure exchange economy and thus extends the static Walrasian general equilibrium theory into a dynamic one with price adjustments. An evolution equation for the price vector is deriv...

  • Article
  • Open Access
976 Views
26 Pages

Substance abuse addictions and hepatitis B infections are two major public health problems facing humanity globally, especially in areas where the two problems co-exist. A mathematical model was used in this work to study the co-dynamics of substance...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
15 Citations
3,924 Views
13 Pages

An Improved Passive CR-39-Based Direct 222Rn/220Rn Progeny Detector

  • Jun Hu,
  • Guosheng Yang,
  • Chutima Kranrod,
  • Kazuki Iwaoka,
  • Masahiro Hosoda and
  • Shinji Tokonami

An improved passive CR-39-based direct 222Rn/220Rn progeny detector with 3 detection channels was designed and tested in this study to measure and calculate equilibrium equivalent concentration (EEC) of both 222Rn and 220Rn without the equilibrium fa...

(This article belongs to the Special Issue Assessment of Environmental Radioactivity and Radiation for Human Health Risk)
  • Article
  • Open Access
21 Citations
4,611 Views
16 Pages

Quantum Work Statistics with Initial Coherence

  • María García Díaz,
  • Giacomo Guarnieri and
  • Mauro Paternostro

27 October 2020

The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state...

(This article belongs to the Special Issue Thermodynamics of Quantum Information)
  • Article
  • Open Access
38 Citations
2,974 Views
14 Pages

15 February 2022

In the actual application of gas transport properties under high pressure, the important factors are sample size dependence and permeation efficiency, related to gas sorption. With a modified volumetric analysis technique, we firstly measured the ove...

(This article belongs to the Section Polymer Analysis and Characterization)
  • Article
  • Open Access
15 Citations
4,542 Views
18 Pages

28 February 2023

Lassa fever is a deadly viral illness that is endemic in some parts of West Africa, including Nigeria. A deterministic model in the form of a non-linear system of differential equations is developed to analyse the dynamics and possible control of the...

(This article belongs to the Special Issue Mathematical Methods and Models in Epidemiology)
  • Article
  • Open Access
1 Citations
2,670 Views
17 Pages

Spherical Droplet Deposition—Mechanistic Model

  • Jacek A. Michalski and
  • Slawomir Jakiela

19 February 2021

In the currently existing physical models of wetting a solid substrate by a liquid drop, the contact angle is determined on the basis of the equilibrium of forces acting tangentially to the wetted surface at any point in the perimeter of the wetted a...

  • Article
  • Open Access
7 Citations
3,103 Views
15 Pages

17 November 2022

In recent years, thermophoresis has emerged as a promising tool for quantifying biomolecular interactions. The underlying microscopic physical effect is still not understood, but often attributed to changes in the hydration layer once the binding occ...

(This article belongs to the Section Molecular Biology)
  • Feature Paper
  • Article
  • Open Access
32 Citations
9,718 Views
28 Pages

Quantifying Configuration-Sampling Error in Langevin Simulations of Complex Molecular Systems

  • Josh Fass,
  • David A. Sivak,
  • Gavin E. Crooks,
  • Kyle A. Beauchamp,
  • Benedict Leimkuhler and
  • John D. Chodera

26 April 2018

While Langevin integrators are popular in the study of equilibrium properties of complex systems, it is challenging to estimate the timestep-induced discretization error: the degree to which the sampled phase-space or configuration-space probability...

(This article belongs to the Special Issue Understanding Molecular Dynamics via Stochastic Processes)
  • Article
  • Open Access
1 Citations
2,210 Views
15 Pages

26 October 2021

In this paper, we examine a sampled-data Nash equilibrium strategy for a stochastic linear quadratic (LQ) differential game, in which admissible strategies are assumed to be constant on the interval between consecutive measurements. Our solution firs...

(This article belongs to the Special Issue Dynamical Systems in Engineering)
  • Article
  • Open Access
13 Citations
3,892 Views
12 Pages

15 April 2019

A new two-stage model for assessing the effect of basic control measures, quarantine and isolation, on a general disease transmission dynamic in a population is designed and rigorously analyzed. The model uses the Holling II incidence function for th...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
4 Citations
4,744 Views
19 Pages

In glass physics, order parameters have long been used in the thermodynamic description of glasses, but their nature is not yet clear. The difficulty is how to find order in disordered systems. This study provides a coherent understanding of the natu...

(This article belongs to the Section Physical Sciences)
  • Feature Paper
  • Article
  • Open Access
6 Citations
3,291 Views
12 Pages

Interaction between Iron Fluoride and Molten FLiBe

  • Stepan P. Arkhipov,
  • Yury P. Zaikov,
  • Pavel A. Arkhipov and
  • Albert R. Mullabaev

19 December 2022

The equilibrium potentials of iron in a LiF-BeF2-FeF2 melt were measured using the EMF method and were dependent upon the temperature and iron fluoride concentrations. The empirical equations for the isotherms and equilibrium polytherms of the iron f...

(This article belongs to the Special Issue Electrochemical Technology for New Materials Synthesis and Reprocessing)
  • Article
  • Open Access
76 Citations
12,746 Views
20 Pages

On Thermodynamic Interpretation of Transfer Entropy

  • Mikhail Prokopenko,
  • Joseph T. Lizier and
  • Don C. Price

1 February 2013

We propose a thermodynamic interpretation of transfer entropy near equilibrium, using a specialised Boltzmann’s principle. The approach relates conditional probabilities to the probabilities of the corresponding state transitions. This in turn charac...

(This article belongs to the Special Issue Transfer Entropy)
  • Article
  • Open Access
1 Citations
3,032 Views
14 Pages

Experimental and Numerical Studies of Fine Quartz Single-Particle Sedimentation Based on Particle Morphology

  • Chunfu Liu,
  • Kai Lv,
  • Lingyun Liu,
  • Jun Chen,
  • Bao Ren,
  • Xuejie Bai and
  • Fanfei Min

1 October 2022

The sedimentation characteristics of quartz particles affect their separation and settling dehydration processes. Particle morphology determines the sedimentation equilibrium velocity. In this paper, the sedimentation of a single quartz particle is c...

(This article belongs to the Special Issue Computational Modeling of Multiphase Flow (II))
  • Article
  • Open Access
8 Citations
2,837 Views
13 Pages

Mercury Removal from Aqueous Solution Using ETS-4 in the Presence of Cations of Distinct Sizes

  • Simão P. Cardoso,
  • Tiago L. Faria,
  • Eduarda Pereira,
  • Inês Portugal,
  • Cláudia B. Lopes and
  • Carlos M. Silva

22 December 2020

The removal of the hazardous Hg2+ from aqueous solutions was studied by ion exchange using titanosilicate in sodium form (Na-ETS-4). Isothermal batch experiments at fixed pH were performed to measure equilibrium and kinetic data, considering two very...

  • Article
  • Open Access
918 Views
18 Pages

20 April 2026

The present work investigated the thermodynamic behaviors of oxygen in a liquid Fe–Ti alloy over a wide Ti concentration range of 11.6–71.2 wt% at 1873 K by integrating equilibrium experiments with thermodynamic modeling. To prevent exces...

(This article belongs to the Special Issue Pyrometallurgy and Waste Recycling: Experiment and Simulation)
  • Article
  • Open Access
1,173 Views
15 Pages

19 August 2025

This paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces. Based on Himmelberg-type fixed point theorem, combined with the analysis of set-valued mappi...

(This article belongs to the Special Issue Current Topics in Optimization, Inequalities and Convex Function Theory)
  • Article
  • Open Access
24 Citations
5,573 Views
19 Pages

14 September 2021

The rumor-free equilibrium state and rumor-endemic equilibrium state are two symmetric descriptions of the status of a system. The constant spreading of rumors would affect the smooth operation of emergency management procedures and cause unnecessary...

(This article belongs to the Special Issue Modelling and Simulation of Natural Phenomena of Current Interest)
  • Article
  • Open Access
14 Citations
2,761 Views
19 Pages

Non-Equilibrium Bedload Transport Model Applied to Erosive Overtopping Dambreach

  • Sergio Martínez-Aranda,
  • Javier Fernández-Pato and
  • Pilar García-Navarro

29 August 2023

Bedload sediment transport is an ubiquitous process in natural surface water flows (rivers, dams, coast, etc), but it also plays a key role in catastrophic events such as dyke erosion or dam breach collapse. The bedload transport mechanism can be und...

(This article belongs to the Special Issue Advances in Dam-Break Modeling for Flood Hazard Mitigation: Theory, Numerical Models, and Applications in Hydraulic Engineering)
  • Article
  • Open Access
1 Citations
9,565 Views
23 Pages

10 November 2016

In (Bonanno, 2013), a solution concept for extensive-form games, called perfect Bayesian equilibrium (PBE), was introduced and shown to be a strict refinement of subgame-perfect equilibrium; it was also shown that, in turn, sequential equilibrium (SE...

(This article belongs to the Special Issue Epistemic Game Theory and Logic)
  • Article
  • Open Access
57 Citations
8,785 Views
13 Pages

Characteristics of CO2 Hydrate Formation and Dissociation in Glass Beads and Silica Gel

  • Mingjun Yang,
  • Yongchen Song,
  • Xuke Ruan,
  • Yu Liu,
  • Jiafei Zhao and
  • Qingping Li

16 April 2012

CO2 hydrate formation and dissociation is crucial for hydrate-based CO2 capture and storage. Experimental and calculated phase equilibrium conditions of carbon dioxide (CO2) hydrate in porous medium were investigated in this study. Glass beads were u...

(This article belongs to the Special Issue Natural Gas Hydrate 2011)
  • Article
  • Open Access
4 Citations
3,711 Views
10 Pages

High-Pressure Phase Equilibrium Studies of Multicomponent (Alcohol-Water-Ionic Liquid-CO2) Systems

  • Małgorzata E. Zakrzewska,
  • Ana B. Paninho,
  • M. Fátima C. Guedes da Silva and
  • Ana V. M. Nunes

25 February 2020

Selective water (by-product) separation from reaction mixtures stands as an important process intensification strategy for equilibrium-limited reactions. In this work, the possibility of using a high-pressure biphasic reaction media composed of a hyd...

(This article belongs to the Special Issue Ionic liquids for CO2 Capture and Reduction)
  • Article
  • Open Access
241 Citations
31,968 Views
11 Pages

Mechanical Properties of Alginate Hydrogels Cross-Linked with Multivalent Cations

  • Haniyeh Malektaj,
  • Aleksey D. Drozdov and
  • Jesper deClaville Christiansen

12 July 2023

Ionically, cross-linked alginate gels have a potential to be used in a wide range of biomedical, environmental and catalytic applications. The study deals with preparation of alginate hydrogels cross-linked with various cations and the analysis of th...

(This article belongs to the Special Issue Functional Alginate-Based Materials III)
  • Article
  • Open Access
1 Citations
3,484 Views
9 Pages

21 November 2020

Heat capacity measurements of θ-(BEDT-TTF)2CsZn(SCN)4 in its non-equilibrium electronic states induced by applying electric currents and voltages were performed by a modified relaxation calorimetry technique. We developed a single crystal heat...

(This article belongs to the Special Issue Organic Conductors)
  • Article
  • Open Access
20 Citations
7,529 Views
14 Pages

Experimental Verification of the Balance between Elastic Pressure and Ionic Osmotic Pressure of Highly Swollen Charged Gels

  • Tasuku Nakajima,
  • Ken-ichi Hoshino,
  • Honglei Guo,
  • Takayuki Kurokawa and
  • Jian Ping Gong

1 April 2021

The equilibrium swelling degree of a highly swollen charged gel has been thought to be determined by the balance between its elastic pressure and ionic osmotic pressure. However, the full experimental verification of this balance has not previously b...

(This article belongs to the Special Issue Physicochemical and Mechanical Properties of Polymer Gels)

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