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Entropy
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Selected Papers from 14th Joint European Thermodynamics Conference
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Selected Papers from 14th Joint European Thermodynamics Conference

A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (1 September 2017) | Viewed by 19464

Special Issue Editors

Dr. Péter Ván

E-Mail Website
Guest Editor
Department of Theoretical Physics, Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Konkoly Thege Miklós út 29-33, 1121 Budapest, Hungary
Interests: fundamental aspects of non-equilibrium thermodynamics; continuum physics; heat conduction; relativistic and non-relativistic dissipative fluids
Dr. Tamás Fülöp

E-Mail
Guest Editor
1. Department of Energy Engineering, Faculty of Mechanical Engineering, BME, 1521 Budapest, Hungary
2. Montavid Thermodynamic Research Group, 1112 Budapest, Hungary
Interests: objectivity; rheology; quantum mechanics

Special Issue Information

Dear Colleagues,

Please visit this site: http://jetc2017.hu, for a detailed description of this Special Issue. The Special Issue will mainly consist of selected papers presented at “14th Joint European Thermodynamics Conference”. Papers in the following topic are also welcomed on this Special Issue:

  • Non-Equilibrium Thermodynamics
  • Quantum Thermodynamics
  • Non-additive thermostatistics

Dr. Péter Ván
Dr. Tamás Fülöp
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

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Published Papers (4 papers)

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Research

15 pages, 4297 KiB  
Article
Thermodynamic Fluid Equations-of-State
by Leslie V. Woodcock
Entropy 2018, 20(1), 22; https://doi.org/10.3390/e20010022 - 4 Jan 2018
Cited by 8 | Viewed by 5475
Abstract
As experimental measurements of thermodynamic properties have improved in accuracy, to five or six figures, over the decades, cubic equations that are widely used for modern thermodynamic fluid property data banks require ever-increasing numbers of terms with more fitted parameters. Functional forms with [...] Read more.
As experimental measurements of thermodynamic properties have improved in accuracy, to five or six figures, over the decades, cubic equations that are widely used for modern thermodynamic fluid property data banks require ever-increasing numbers of terms with more fitted parameters. Functional forms with continuity for Gibbs density surface ρ(p,T) which accommodate a critical-point singularity are fundamentally inappropriate in the vicinity of the critical temperature (Tc) and pressure (pc) and in the supercritical density mid-range between gas- and liquid-like states. A mesophase, confined within percolation transition loci that bound the gas- and liquid-state by third-order discontinuities in derivatives of the Gibbs energy, has been identified. There is no critical-point singularity at Tc on Gibbs density surface and no continuity of gas and liquid. When appropriate functional forms are used for each state separately, we find that the mesophase pressure functions are linear. The negative and positive deviations, for both gas and liquid states, on either side of the mesophase, are accurately represented by three or four-term virial expansions. All gaseous states require only known virial coefficients, and physical constants belonging to the fluid, i.e., Boyle temperature (TB), critical temperature (Tc), critical pressure (pc) and coexisting densities of gas (ρcG) and liquid (ρcL) along the critical isotherm. A notable finding for simple fluids is that for all gaseous states below TB, the contribution of the fourth virial term is negligible within experimental uncertainty. Use may be made of a symmetry between gas and liquid states in the state function rigidity (dp/dρ)T to specify lower-order liquid-state coefficients. Preliminary results for selected isotherms and isochores are presented for the exemplary fluids, CO2, argon, water and SF6, with focus on the supercritical mesophase and critical region. Full article
(This article belongs to the Special Issue Selected Papers from 14th Joint European Thermodynamics Conference)
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831 KiB  
Article
On the Uniqueness Theorem for Pseudo-Additive Entropies
by Petr Jizba and Jan Korbel
Entropy 2017, 19(11), 605; https://doi.org/10.3390/e19110605 - 12 Nov 2017
Cited by 10 | Viewed by 4679
Abstract
The aim of this paper is to show that the Tsallis-type (q-additive) entropic chain rule allows for a wider class of entropic functionals than previously thought. In particular, we point out that the ensuing entropy solutions (e.g., Tsallis entropy) can be [...] Read more.
The aim of this paper is to show that the Tsallis-type (q-additive) entropic chain rule allows for a wider class of entropic functionals than previously thought. In particular, we point out that the ensuing entropy solutions (e.g., Tsallis entropy) can be determined uniquely only when one fixes the prescription for handling conditional entropies. By using the concept of Kolmogorov–Nagumo quasi-linear means, we prove this with the help of Darótzy’s mapping theorem. Our point is further illustrated with a number of explicit examples. Other salient issues, such as connections of conditional entropies with the de Finetti–Kolmogorov theorem for escort distributions and with Landsberg’s classification of non-extensive thermodynamic systems are also briefly discussed. Full article
(This article belongs to the Special Issue Selected Papers from 14th Joint European Thermodynamics Conference)
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833 KiB  
Article
Feynman’s Ratchet and Pawl with Ecological Criterion: Optimal Performance versus Estimation with Prior Information
by Varinder Singh and Ramandeep S. Johal
Entropy 2017, 19(11), 576; https://doi.org/10.3390/e19110576 - 26 Oct 2017
Cited by 24 | Viewed by 4452
Abstract
We study the optimal performance of Feynman’s ratchet and pawl, a paradigmatic model in nonequilibrium physics, using ecological criterion as the objective function. The analysis is performed by two different methods: (i) a two-parameter optimization over internal energy scales; and (ii) a one-parameter [...] Read more.
We study the optimal performance of Feynman’s ratchet and pawl, a paradigmatic model in nonequilibrium physics, using ecological criterion as the objective function. The analysis is performed by two different methods: (i) a two-parameter optimization over internal energy scales; and (ii) a one-parameter optimization of the estimate for the objective function, after averaging over the prior probability distribution (Jeffreys’ prior) for one of the uncertain internal energy scales. We study the model for both engine and refrigerator modes. We derive expressions for the efficiency/coefficient of performance (COP) at maximum ecological function. These expressions from the two methods are found to agree closely with equilibrium situations. Furthermore, the expressions obtained by the second method (with estimation) agree with the expressions obtained in finite-time thermodynamic models. Full article
(This article belongs to the Special Issue Selected Papers from 14th Joint European Thermodynamics Conference)
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7717 KiB  
Article
Exact Negative Solutions for Guyer–Krumhansl Type Equation and the Maximum Principle Violation
by Konstantin Zhukovsky
Entropy 2017, 19(9), 440; https://doi.org/10.3390/e19090440 - 24 Aug 2017
Cited by 15 | Viewed by 4131
Abstract
Heat propagation in the Guyer–Krumhansl model is studied. The exact analytical solutions for the one-dimensional Guyer–Krumhansl equation are obtained. The operational formalism is employed. Some examples of initial functions are considered, modeling various initial heat pulses and distributions. The effect of the ballistic [...] Read more.
Heat propagation in the Guyer–Krumhansl model is studied. The exact analytical solutions for the one-dimensional Guyer–Krumhansl equation are obtained. The operational formalism is employed. Some examples of initial functions are considered, modeling various initial heat pulses and distributions. The effect of the ballistic heat transfer in an over–diffusive regime is elucidated. The behavior of the solutions in such a regime is explored. The maximum principle and its violation for the obtained solutions are discussed in the framework of heat conduction. Examples of negative solutions for the Guyer–Krumhansl equation are demonstrated. Full article
(This article belongs to the Special Issue Selected Papers from 14th Joint European Thermodynamics Conference)
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