Special Issue "Entropy-based Methods in In and Out of Equilibrium Systems"

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".

Deadline for manuscript submissions: closed (1 March 2021).

Special Issue Editor

Dr. Johan Anderson
E-Mail Website
Guest Editor
Department of Space, Earth and Environment, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
Interests: anomalous diffusion; Tsallis entropy; nonlocal theory; Lévy noise; fractional Fokker–Plank equation
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Special Issue Information

Dear Colleagues,

One of the major goals of statistical mechanics is the understanding of the time evolution of in and out of equilibrium systems. Many different approaches have been used; however, entropy-based methodologies are currently very common for analysis. Among the possible options is to work with the different metrics for the thermodynamic length and the information length, which is a generalization of the thermodynamic length to non-equilibrium systems. In particular, information length is computed as a distance in statistical space for time-evolving non-equilibrium systems and can possibly be used to identify the occurrence of coherent structures or rare events with large amplitudes. Other popular statistical measures such as “relative entropy” and “Jensen divergence” also concern comparing two PDFs (e.g., at two different times). This Special Issue aims to present current state-of-the-art modeling efforts that advance the understanding of entropy-based methods in in and out of equilibrium systems, e.g., dynamical systems, fluids, and plasmas and other fields. These are areas of particular interest, since there is strong evidence from laboratory experiments, observations, and computational studies that coherent structures can cause intermittent transport, significantly changing the dynamics. The Guest Editor is open to considering any paper relevant to the subject matter of the Special Issue.

Dr. Johan Anderson
Guest Editor

Manuscript Submission Information

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Keywords

  • turbulence
  • anomalous diffusion
  • Tsallis entropy
  • nonlocal theory
  • Lévy noise
  • fractional Fokker–Plank equation
  • fractional calculus/models
  • generalized statistical mechanics
  • q-Entropy/Tsallis entropy
  • intermittency
  • coherent structure
  • multiscale analysis
  • self-organization

Published Papers (6 papers)

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Research

Article
A Theoretical Perspective of the Photochemical Potential in the Spectral Performance of Photovoltaic Cells
Entropy 2021, 23(5), 579; https://doi.org/10.3390/e23050579 - 08 May 2021
Viewed by 289
Abstract
We present a novel theoretical approach to the problem of light energy conversion in thermostated semiconductor junctions. Using the classical model of a two-level atom, we deduced formulas for the spectral response and the quantum efficiency in terms of the input photons’ non-zero [...] Read more.
We present a novel theoretical approach to the problem of light energy conversion in thermostated semiconductor junctions. Using the classical model of a two-level atom, we deduced formulas for the spectral response and the quantum efficiency in terms of the input photons’ non-zero chemical potential. We also calculated the spectral entropy production and the global efficiency parameter in the thermodynamic limit. The heat transferred to the thermostat results in a dissipative loss that appreciably controls the spectral quantities’ behavior and, therefore, the cell’s performance. The application of the obtained formulas to data extracted from photovoltaic cells enabled us to accurately interpolate experimental data for the spectral response and the quantum efficiency of cells based on Si-, GaAs, and CdTe, among others. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
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Article
Sustainable Performance Evaluation: Evidence from Listed Chinese Mining Corporations
Entropy 2021, 23(3), 349; https://doi.org/10.3390/e23030349 - 15 Mar 2021
Viewed by 438
Abstract
Rapid industrial development has caused a series of environmental problems, which is not conducive to sustainable development of society as a whole. It is necessary to build a sustainable development evaluation system. Most of the existing literature has evaluated corporate sustainable performance from [...] Read more.
Rapid industrial development has caused a series of environmental problems, which is not conducive to sustainable development of society as a whole. It is necessary to build a sustainable development evaluation system. Most of the existing literature has evaluated corporate sustainable performance from the economy, environment and society on the basis of triple bottom lines. Considering the research gap and the practice need, an evaluation system is established from four dimensions, referred to as economy, society, environment and responsibility management, and 29 indicators are designed to measure these four dimensions. Twenty seven listed Chinese mining corporations are selected as research samples, and the entropy-weight-based Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method is applied to calculate indicators’ weights. Results show that the four dimensions of sustainable performance weights from high to low are society, environment, economy, and management process. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
Article
Anisotropic Diffusion in Driven Convection Arrays
Entropy 2021, 23(3), 343; https://doi.org/10.3390/e23030343 - 14 Mar 2021
Cited by 1 | Viewed by 495
Abstract
We numerically investigate the transport of a Brownian colloidal particle in a square array of planar counter-rotating convection rolls at high Péclet numbers. We show that an external force produces huge excess peaks of the particle’s diffusion constant with a height that depends [...] Read more.
We numerically investigate the transport of a Brownian colloidal particle in a square array of planar counter-rotating convection rolls at high Péclet numbers. We show that an external force produces huge excess peaks of the particle’s diffusion constant with a height that depends on the force orientation and intensity. In sharp contrast, the particle’s mobility is isotropic and force independent. We relate such a nonlinear response of the system to the advection properties of the laminar flow in the suspension fluid. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
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Article
Negativity of the Casimir Self-Entropy in Spherical Geometries
Entropy 2021, 23(2), 214; https://doi.org/10.3390/e23020214 - 10 Feb 2021
Cited by 1 | Viewed by 468
Abstract
It has been recognized for some time that, even for perfect conductors, the interaction Casimir entropy, due to quantum/thermal fluctuations, can be negative. This result was not considered problematic because it was thought that the self-entropies of the bodies would cancel this negative [...] Read more.
It has been recognized for some time that, even for perfect conductors, the interaction Casimir entropy, due to quantum/thermal fluctuations, can be negative. This result was not considered problematic because it was thought that the self-entropies of the bodies would cancel this negative interaction entropy, yielding a total entropy that was positive. In fact, this cancellation seems not to occur. The positive self-entropy of a perfectly conducting sphere does indeed just cancel the negative interaction entropy of a system consisting of a perfectly conducting sphere and plate, but a model with weaker coupling in general possesses a regime where negative self-entropy appears. The physical meaning of this surprising result remains obscure. In this paper, we re-examine these issues, using improved physical and mathematical techniques, partly based on the Abel–Plana formula, and present numerical results for arbitrary temperatures and couplings, which exhibit the same remarkable features. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
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Article
Structural Statistical Quantifiers and Thermal Features of Quantum Systems
Entropy 2021, 23(1), 19; https://doi.org/10.3390/e23010019 - 25 Dec 2020
Viewed by 409
Abstract
This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and statistical complexity, whose role is growing in different disciplines of physics and other sciences. These quantifiers are called L. Ruiz, Mancini, and Calvet (LMC) quantifiers, following the initials of the three [...] Read more.
This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and statistical complexity, whose role is growing in different disciplines of physics and other sciences. These quantifiers are called L. Ruiz, Mancini, and Calvet (LMC) quantifiers, following the initials of the three authors who advanced them. We wish to establish information-theoretical bridges between LMC structural quantifiers and (1) Thermal Heisenberg uncertainties ΔxΔp (at temperature T); (2) A nuclear physics fermion model. Having achieved such purposes, we determine to what an extent our bridges can be extended to both the semi-classical and classical realms. In addition, we find a strict bound relating a special LMC structural quantifier to quantum uncertainties. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
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Article
Hydrodynamic and Thermodynamic Nonequilibrium Effects around Shock Waves: Based on a Discrete Boltzmann Method
Entropy 2020, 22(12), 1397; https://doi.org/10.3390/e22121397 - 10 Dec 2020
Cited by 1 | Viewed by 859
Abstract
A shock wave that is characterized by sharp physical gradients always draws the medium out of equilibrium. In this work, both hydrodynamic and thermodynamic nonequilibrium effects around the shock wave are investigated using a discrete Boltzmann model. Via Chapman–Enskog analysis, the local equilibrium [...] Read more.
A shock wave that is characterized by sharp physical gradients always draws the medium out of equilibrium. In this work, both hydrodynamic and thermodynamic nonequilibrium effects around the shock wave are investigated using a discrete Boltzmann model. Via Chapman–Enskog analysis, the local equilibrium and nonequilibrium velocity distribution functions in one-, two-, and three-dimensional velocity space are recovered across the shock wave. Besides, the absolute and relative deviation degrees are defined in order to describe the departure of the fluid system from the equilibrium state. The local and global nonequilibrium effects, nonorganized energy, and nonorganized energy flux are also investigated. Moreover, the impacts of the relaxation frequency, Mach number, thermal conductivity, viscosity, and the specific heat ratio on the nonequilibrium behaviours around shock waves are studied. This work is helpful for a deeper understanding of the fine structures of shock wave and nonequilibrium statistical mechanics. Full article
(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
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