Skip to Content
You are currently on the new version of our website. Access the old version .

9,288 Results Found

  • Article
  • Open Access
19 Citations
3,644 Views
13 Pages

Analysis of Non-Equilibrium and Equilibrium Models of Heat and Moisture Transfer in a Wet Porous Building Material

  • Mirosław Seredyński,
  • Michał Wasik,
  • Piotr Łapka,
  • Piotr Furmański and ,
  • Łukasz Cieślikiewicz,
  • Karol Pietrak,
  • Michał Kubiś,
  • Tomasz S. Wiśniewski and
  • Maciej Jaworski
  • + 4 authors+ 0 author

2 January 2020

In the proposed paper, non-equilibrium and equilibrium models of heat and moisture transfer through wet building materials are presented and compared. In the former, the mass transfer between liquid and gaseous moisture results from the difference be...

(This article belongs to the Special Issue Selected Papers from XII International Conference on Computational Heat, Mass and Momentum Transfer (ICCHMT2019))
  • Review
  • Open Access
99 Citations
10,073 Views
31 Pages

A Holistic Review on Biomass Gasification Modified Equilibrium Models

  • Sérgio Ferreira,
  • Eliseu Monteiro,
  • Paulo Brito and
  • Cândida Vilarinho

3 January 2019

Biomass gasification is realized as a settled process to produce energy in a sustainable form, between all the biomass-based energy generation routes. Consequently, there are a renewed interest in biomass gasification promoting the research of differ...

(This article belongs to the Collection Bioenergy and Biofuel)
  • Article
  • Open Access
37 Citations
7,370 Views
22 Pages

Reinterpreting the Bruun Rule in the Context of Equilibrium Shoreline Models

  • Maurizio D’Anna,
  • Deborah Idier,
  • Bruno Castelle,
  • Sean Vitousek and
  • Goneri Le Cozannet

7 September 2021

Long-term (>decades) coastal recession due to sea-level rise (SLR) has been estimated using the Bruun Rule for nearly six decades. Equilibrium-based shoreline models have been shown to skillfully predict short-term wave-driven shoreline change on...

(This article belongs to the Section Coastal Engineering)
  • Article
  • Open Access
48 Citations
6,622 Views
21 Pages

Reliability of Equilibrium Gasification Models for Selected Biomass Types and Compositions: An Overview

  • Linda Moretti,
  • Fausto Arpino,
  • Gino Cortellessa,
  • Simona Di Fraia and ,
  • Maria Di Palma and
  • Laura Vanoli
  • + 1 author+ 0 author

22 December 2021

In this paper, the authors present an overview of biomass gasification modeling approaches with the aim of evaluating their effectiveness as a modeling tool for the design and optimization of polygeneration plants based on biomass gasification. In fa...

(This article belongs to the Special Issue Impact of Hydrogen and Natural Gas Substitute on the Gas Networks)
  • Article
  • Open Access
34 Citations
9,209 Views
15 Pages

14 February 2020

In the modern industrial separation process, the pressure swing adsorption technology is widely used to separate and purify gases due to its low energy consumption, low cost, convenience, reliability, and environmental benignity. The basic elements o...

(This article belongs to the Section Chemical and Molecular Sciences)
  • Article
  • Open Access
10 Citations
5,165 Views
11 Pages

27 July 2017

The origin of the long-range memory in non-equilibrium systems is still an open problem as the phenomenon can be reproduced using models based on Markov processes. In these cases, the notion of spurious memory is introduced. A good example of Markov...

(This article belongs to the Special Issue Statistical Mechanics of Complex and Disordered Systems)
  • Article
  • Open Access
34 Citations
7,629 Views
23 Pages

There are multiple ways in which a stochastic system can be out of statistical equilibrium. It might be subject to time-varying forcing; or be in a transient phase on its way towards equilibrium; it might even be in equilibrium without us noticing it...

(This article belongs to the Special Issue Computation in Molecular Modeling)
  • Article
  • Open Access
12 Citations
5,827 Views
17 Pages

25 September 2021

In this paper, we present a new result that allows for studying the global stability of the disease-free equilibrium point when the basic reproduction number is less than 1, in the fractional calculus context. The method only involves basic linear al...

(This article belongs to the Special Issue Calculus of Variations, Optimal Control, and Mathematical Biology: A Themed Issue Dedicated to Professor Delfim F. M. Torres on the Occasion of His 50th Birthday)
  • Article
  • Open Access
25 Citations
3,533 Views
28 Pages

26 June 2020

This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction. The novelty of our paper is that methods can also be used to so...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
5 Citations
3,736 Views
12 Pages

24 January 2025

Empirical models have been found to be inadequate in both accounting for breakthrough behaviors and reflecting the performance of fixed-bed systems, primarily due to their lack of a robust theoretical foundation. This limitation severely restricts th...

  • Article
  • Open Access
10 Citations
4,934 Views
21 Pages

System identification is an important methodology used in control theory and constitutes the first step of control design. It is known that many real systems can be better characterized by fractional-order models. However, it is often quite complex a...

(This article belongs to the Section Engineering)
  • Review
  • Open Access
14 Citations
5,706 Views
33 Pages

1 February 2023

Hydrogen is a promising fuel to decarbonize aviation, but macroeconomic studies are currently missing. Computable general equilibrium (CGE) models are suitable to conduct macroeconomic analyses and are frequently employed in hydrogen and aviation res...

  • Article
  • Open Access
2 Citations
6,645 Views
13 Pages

3 March 2016

On some regular and non-regular topologies, we studied the critical properties of models that present up-down symmetry, like the equilibrium Ising model and the nonequilibrium majority vote model. These are investigated on networks, like Apollonian (...

(This article belongs to the Special Issue Recent Advances in Non-Equilibrium Statistical Mechanics and Its Application)
  • Article
  • Open Access
2,570 Views
11 Pages

In this paper, the Balassa–Samuelson–Tariffi effect is revisited. This research first aims to explain that the behaviour of the real exchange rate shows structural breaks in the short term. A partial equilibrium model “á la R...

(This article belongs to the Special Issue Exchange Rates: Drivers, Dynamics, Impacts, and Policies)
  • Article
  • Open Access
2 Citations
2,076 Views
24 Pages

Algorithms for Solving the Equilibrium Composition Model of Arc Plasma

  • Zhongyuan Chi,
  • Yuzhang Ji,
  • Ningning Liu,
  • Tianchi Jiang and ,
  • Xin Liu and
  • Weijun Zhang
  • + 1 author+ 0 author

31 December 2024

In the present study, the Homotopy Levenberg−Marquardt Algorithm (HLMA) and the Parameter Variation Levenberg–Marquardt Algorithm (PV–LMA), both developed in the context of high-temperature composition, are proposed to address the e...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
6 Citations
3,573 Views
16 Pages

An equilibrium beach profile model is developed and coupled with a parametric hydrodynamic model to provide feedback between the evolving morphology and the hydrodynamics. The model is compared to laboratory beach profiles evolving toward equilibrium...

(This article belongs to the Section Physical Oceanography)
  • Article
  • Open Access
4 Citations
2,159 Views
8 Pages

An Evolutionary View on Equilibrium Models of Transport Flows

  • Evgenia Gasnikova,
  • Alexander Gasnikov,
  • Yaroslav Kholodov and
  • Anastasiya Zukhba

8 February 2023

In this short paper, we describe natural logit population games dynamics that explain equilibrium models of origin-destination matrix estimation and (stochastic) traffic assignment models (Beckmann, Nesterov–de Palma). Composition of the propos...

(This article belongs to the Special Issue Numerical Methods and Algorithms Applied in Intelligent Transportation Systems)
  • Article
  • Open Access
3 Citations
2,508 Views
19 Pages

11 October 2023

Researchers build growth models to predict the growth of forest stands and propose management measures to improve the overall quality of these stands. In this study, data collected from 91 sample plots from the eighth (2010) and ninth (2015) Chinese...

(This article belongs to the Section Forest Ecology and Management)
  • Article
  • Open Access
3 Citations
3,629 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
5 Citations
4,643 Views
19 Pages

9 December 2022

The development of the author’s concept of the International Flows Equilibrium Exchange Rate (IFEER) is the basis for the mathematical exchange rate modeling of two interconnected equal economies. IFEER-concept allows modeling the exchange rate...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
14 Citations
3,096 Views
24 Pages

Control-Oriented Modeling for Nonlinear MIMO Turbofan Engine Based on Equilibrium Manifold Expansion Model

  • Chengkun Lv,
  • Ziao Wang,
  • Lei Dai,
  • Hao Liu and ,
  • Juntao Chang and
  • Daren Yu
  • + 1 author+ 0 author

2 October 2021

This paper investigates the control-oriented modeling for turbofan engines. The nonlinear equilibrium manifold expansion (EME) model of the multiple input multiple output (MIMO) turbofan engine is established, which can simulate the variation of high...

(This article belongs to the Topic Optimisation, Optimal Control and Nonlinear Dynamics in Electrical Power, Energy Storage and Renewable Energy Systems)
  • Article
  • Open Access
7 Citations
5,175 Views
15 Pages

Algae-based products have applications in the food and pharmaceutical industries, bioremediation of waste streams and biofuel production. Drying has been recognised to constitute the largest energy cost in algae processing, yet there is limited data...

  • Article
  • Open Access
14 Citations
3,015 Views
18 Pages

18 September 2020

During recent decades, the equilibrium manifold expansion (EME) model has been considered as a powerful identification tool for complex industrial systems with the aim of system control and simulation. Based on a two-step “dynamic and static&rd...

(This article belongs to the Special Issue Advanced Perspectives for Modeling, Simulation and Control of Power Electronic Systems)
  • Proceeding Paper
  • Open Access
1 Citations
1,190 Views
4 Pages

A hierarchical model of a vector Nash equilibrium search under uncertainty is developed. The sufficient conditions for a vector Nash equilibrium of a noncooperative game under uncertainty are formulated, which can be used as a criterion to achieve th...

(This article belongs to the Proceedings of 15th International Conference “Intelligent Systems” (INTELS’22))
  • Article
  • Open Access
18 Citations
4,406 Views
15 Pages

12 May 2022

When an ultrashort laser pulse excites a metal surface, only a few of all the free electrons absorb a photon. The resulting non-equilibrium electron energy distribution thermalizes quickly to a hot Fermi distribution. The further energy dissipation i...

(This article belongs to the Special Issue Dynamics and Processes at Laser-Irradiated Surfaces—A Themed Issue in Honor of the 70th Birthday of Professor Jürgen Reif)
  • Article
  • Open Access
8 Citations
7,607 Views
13 Pages

Liquid–Liquid Equilibrium Behavior of Ternary Systems Comprising Biodiesel + Glycerol and Triglyceride + Methanol: Experimental Data and Modeling

  • Lingmei Yang,
  • Shiyou Xing,
  • Xianbin Teng,
  • Rukuan Liu and ,
  • Zhongming Wang,
  • Baining Lin,
  • Pengmei Lv,
  • Akram Ali Nasser Mansoor Al-Haimi,
  • Fatma Yehia and
  • Wen Luo
  • + 5 authors+ 0 author

12 May 2024

Having a comprehensive knowledge of phase equilibrium is advantageous for industrial simulation and design of chemical processes. For further acquisition of primary data to facilitate the separation and purification of waste oil biodiesel systems, a...

(This article belongs to the Section Biomass Catalysis)
  • Communication
  • Open Access
7 Citations
3,197 Views
9 Pages

30 December 2021

Dynamic modeling of soft pneumatic actuators are a challenging research field. In this paper, a dynamic modeling method used for a bi-directionaly soft pneumatic actuator with symmetrical chambers is proposed. In this dynamic model, the effect of uni...

(This article belongs to the Section Actuators for Robotics)
  • Article
  • Open Access
5 Citations
3,075 Views
14 Pages

4 January 2023

In recent years, leisure agriculture has been developing rapidly. Leisure agriculture has gradually become an important way to promote economic growth in rural areas and improve farmers’ income. By building a two-department general equilibrium...

(This article belongs to the Section Land Socio-Economic and Political Issues)
  • Article
  • Open Access
8 Citations
16,680 Views
20 Pages

16 February 2023

Distillation columns represent the most widely used separation equipment in the petrochemical industry. It is usually difficult to apply the traditional mechanism modeling method to online optimization and control because of its complex structure, an...

(This article belongs to the Section Separation Processes)
  • Article
  • Open Access
2 Citations
4,238 Views
16 Pages

26 March 2022

We revisit the fundamental principles of thermodynamic equilibrium in relation to heat transfer processes within the Earth’s atmosphere. A knowledge of equilibrium states at ambient temperatures (T) and pressures (p) and deviations for these p-...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
6 Citations
2,788 Views
11 Pages

Observation and Modeling of the Equilibrium Slope Response of a High-Energy Meso-Macrotidal Sandy Beach

  • Carla Labarthe,
  • Bruno Castelle,
  • Vincent Marieu,
  • Thierry Garlan and
  • Stéphane Bujan

Beach slope is a critical parameter to, e.g., beach safety, wave reflection at the coast and longshore transport rate. However, it is usually considered as a time-invariant and profile-average parameter. Here, we apply a state-of-the-art equilibrium...

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,311 Views
22 Pages

9 September 2020

We consider a coupled model surface-deep ocean effect, where an Energy Balance Model (EBM) is used for modelling the surface temperature and a two-dimensional heat equation represents the evolution of the temperature of the deep ocean. Although the m...

(This article belongs to the Special Issue Modeling and Numerical Analysis of Energy and Environment)
  • Article
  • Open Access
1 Citations
3,494 Views
13 Pages

5 October 2023

We study the monopolistic competition model of Dixit–Stiglitz–Krugman with additive separable utility and transport costs of “iceberg types”. The production costs are not necessary linear. We study two concepts: market equilib...

(This article belongs to the Special Issue Mathematical Modeling and Applications in Industrial Organization)
  • Article
  • Open Access
11 Citations
3,622 Views
25 Pages

5 July 2024

A complex thermochemical process during biomass gasification includes many chemical reactions. Therefore, a stoichiometric model can be applied to predict the composition of the producer gas during gasification. However, the prediction of methane and...

(This article belongs to the Section Energy Science and Technology)
  • Article
  • Open Access
1 Citations
1,661 Views
28 Pages

13 November 2024

Two-fluid formalisms that fully account for all complex inter-phase interactions have been developed based on a rigorous ensemble-averaging procedure. Here, we apply equilibrium approximation to particle velocity to simplify two-phase flow equations...

(This article belongs to the Special Issue Numerical Methods and Simulations for Turbulent Flow)
  • Article
  • Open Access
21 Views
33 Pages

4 November 2026

Human–AI decision authority is analyzed in relation to changes in relative competence and decision risk, taking institutional oversight capacity into account. The proposed Co-Agency Equilibrium Theory (CAET) and Co-Agency Equilibrium Model (CAE...

(This article belongs to the Section Artificial Intelligence and Digital Systems Engineering)
  • Article
  • Open Access
22 Citations
6,501 Views
33 Pages

26 October 2020

The application of limit equilibrium analysis and numerical simulation in case of slope instability is described. The purpose of the study was to use both limit equilibrium methods (LEMs) and numerical simulations (finite element method (FEM)) to und...

(This article belongs to the Special Issue Geo-Hazards and Risk Reduction Approaches)
  • Article
  • Open Access
8 Citations
3,284 Views
21 Pages

A Stochastic User Equilibrium Model Under Traffic Rationing Based on Mode Shifting Rate

  • Xueyan Wei,
  • Wei Wang,
  • Weijie Yu,
  • Xuedong Hua and
  • Yun Xiang

6 July 2020

As a countermeasure to urban exhaust pollution and traffic congestion, traffic restriction based on the last digit of license plate numbers has been widely introduced throughout the world. However, the effect of traffic restriction is weakened as it...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
22 Citations
4,824 Views
28 Pages

In this paper, we propose two modified two-step proximal methods that are formed through the proximal-like mapping and inertial effect for solving two classes of equilibrium problems. A weak convergence theorem for the first method and the strong con...

(This article belongs to the Special Issue Computational Methods in Analysis and Applications 2020)
  • Article
  • Open Access
5 Citations
2,236 Views
19 Pages

Estimating Remaining Useful Life (RUL) is crucial in modern Prognostic and Health Management (PHM) systems providing valuable information for planning the maintenance strategy of critical components in complex systems such as aircraft engines. Deep L...

(This article belongs to the Special Issue Advances in Condition Monitoring and Fault Diagnosis)
  • Article
  • Open Access
10 Citations
4,479 Views
13 Pages

Mathematical Modeling of Recursive Drug Delivery with Diffusion, Equilibrium, and Convection Coupling

  • Rosaura Hernandez-Montelongo,
  • Javiera Salazar-Araya,
  • Jacobo Hernandez-Montelongo and
  • Juan Paulo Garcia-Sandoval

22 June 2022

In this work, a mathematical model to describe drug delivery from polymer coatings on implants is proposed. Release predictability is useful for development and understanding of drug release mechanisms from controlled delivery systems. The proposed m...

(This article belongs to the Special Issue Transport Phenomena Equations: Modelling and Applications)
  • Article
  • Open Access
17 Citations
1,613 Views
20 Pages

29 July 2024

Time-dependent emitted H2 content modeling via a reliable diffusion analysis program was performed for H2-enriched polymers under high pressure. Here, the emitted hydrogen concentration versus elapsed time was obtained at different diffusivities and...

(This article belongs to the Special Issue Theoretical and Computational Polymers Science: Physics, Chemistry and Biology)
  • Article
  • Open Access
40 Citations
4,733 Views
26 Pages

14 August 2019

The green supply chain (GSC) can effectively reduce the waste of resources and avoid environmental pollution. For a closed-loop supply chain network consisting of multiple manufacturers, multiple retailers, and multiple consumer and recycling markets...

(This article belongs to the Section Sustainable Engineering and Science)
  • Article
  • Open Access
5,137 Views
26 Pages

1 December 2022

This article is an overview of recent progress on a theory of games, whose payoffs are probability distributions rather than real numbers, and which have their equilibria defined and computed over a (suitably restricted yet dense) set of distribution...

(This article belongs to the Section Applied Game Theory)
  • Article
  • Open Access
36 Citations
9,475 Views
12 Pages

Integration of Processing and Microstructure Models for Non-Equilibrium Solidification in Additive Manufacturing

  • Noah Sargent,
  • Mason Jones,
  • Richard Otis,
  • Andrew A. Shapiro and ,
  • Jean-Pierre Delplanque and
  • Wei Xiong
  • + 1 author+ 0 author

1 April 2021

Integration of models that capture the complex physics of solidification on the macro and microstructural scale with the flexibility to consider multicomponent materials systems is a significant challenge in modeling additive manufacturing processes....

(This article belongs to the Special Issue Simulation of Microstructure Evolution in Additive Manufacturing)
  • Article
  • Open Access
12 Citations
7,866 Views
20 Pages

9 April 2021

Understanding of CO2 hydrate–liquid water two-phase equilibrium is very important for CO2 storage in deep sea and in submarine sediments. This study proposed an accurate thermodynamic model to calculate CO2 solubility in pure water and in seawater at...

  • Article
  • Open Access
1 Citations
2,184 Views
33 Pages

24 December 2025

Quick visual balance perception in layouts is essential for a positive user experience. However, existing computational models often struggle to accurately capture this key aesthetic aspect, particularly in interfaces with asymmetric elements. This p...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
24 Citations
6,180 Views
19 Pages

18 December 2017

In the present work, the air-steam biomass gasification model with tar has been developed based on the equilibrium constants. The simulation results based on two different models (with and without tar) have been validated by the experimental data. Th...

(This article belongs to the Special Issue Biofuel and Bioenergy Technology)
  • Article
  • Open Access
59 Citations
8,265 Views
18 Pages

29 May 2022

Biomass pyrolysis is considered as a thermochemical conversion system that is performed under oxygen-depleted conditions. A large body of literature exists in which thermodynamic equilibrium (TE) and kinetic approaches have been applied to predict py...

(This article belongs to the Special Issue Pyrolysis and Gasification of Biomass and Waste)
  • Article
  • Open Access
14 Citations
4,004 Views
13 Pages

1 November 2017

After remarking on non-equilibrium thermodynamics with internal variables, this paper highlights the importance of these variables to the study of biological systems. Internal variables can provide a more detailed description of biological processes...

of 186