Entropy Production: Its Role in Non-Equilibrium Thermodynamics

Velasco, R. M.; García‐Colín, L. S.; Uribe, F. J.

doi:10.3390/e13010082

Cited by 49 publications

(41 citation statements)

References 147 publications

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“…De Donder's work on the rate of chemical reactions and entropy generation within a system might be seen as the foundation of non-equilibrium thermodynamics in which entropy and time comes together [14,15]. Entropy production is then expanded by Onsager to account for multiple driving forces and their reciprocal constraints on the rate [16].…”

Section: Time and Entropy Changesmentioning

confidence: 99%

Beyond the Arrow of Time: Can There Be a Relation between the Measurement of Entropy and Time?

Akih-Kumgeh

2017

The 4th International Electronic Conference on Entropy and Its Applications

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Abstract:The general tendency of the entropy of an isolated to increase is considered to be directly linked to the direction of the flow of time. This raises the question whether a quantitative relation can be established such that a time interval can be measured by measuring entropy change and vice versa. The existence or absence of such a link also calls for further consideration of the nature of time. Prigogine argued that the true nature of time can only be discovered by investigating this phenomenon using scientific and philosophical methods. If this is true, then ongoing debates in the metaphysics of time and progress in the scientific study of entropy can be brought together to shed light on this fascinating but elusive concept. In this paper, starting from my recent modified definition of entropy change as a non-dimensional measure of energy change, a direct link between entropy and time duration is suggested. It draws from steady energy transfer processes such as heat transfer and shows that a measure of time can be found to be associated with a measure of entropy change. In the absence of other driving forces, the passage of time in an isolated system can therefore be tracked with a well calibrated entropy change meter. When other forces are allowed to interfere and there is no external point from which the system can be considered to be isolated, then the measure of time is non-monotonous since an isolated system can be restored to an earlier state of non-equilibrium. More philosophical questions about time can be reduced to questions about the operation of memory and consciousness, whereby psychological awareness of time is in essence a mental awareness of the way things are ordered by direct perception and memory of how they were ordered in the past, permitting a measure of the departure between things changing with greater or lesser intensity.

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Section: Time and Entropy Changesmentioning

confidence: 99%

Beyond the Arrow of Time: Can There Be a Relation between the Measurement of Entropy and Time?

Akih-Kumgeh

2017

The 4th International Electronic Conference on Entropy and Its Applications

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“…For small systems there likely is no unique satisfactory definition of entropy [14]. There is much precedent for (9).…”

Section: Internal Entropymentioning

confidence: 99%

“…A non-local-detailed-balance function breaks equality of the thermodynamic and statistical entropy production, causing thermo , tot S tot S   ≠ . Figure 3 shows the difference for the coupling function in (14) with γ=1/2 and γ=1. At γ=0 the statistical and thermodynamic entropy production rates are the same.…”

Section: Entropy Productionmentioning

confidence: 99%

“…The hypothetical principle of maximum entropy production [4][5][6][7][8][9][10] or the converse principle of minimum entropy production would suggest that entropy production may be not just a property but an organizing principle of driven systems such as the DLG. Recent discussions of the role of entropy production in non-equilibrium systems include those by Ross, Vellela and Qian and Attard [11][12][13] A critical review of entropy-production ideas, giving a thorough historical perspective from Carnot's work through the present, was written by Velasco, García-Colín and Uribe [14] The present work is a largely numerical study of the meaning and possible extrema of entropy production in the simple, well-defined DLG model. If DLG steady states are characterized by extreme entropy production then entropy production will vary monotonically, either steadily rising or steadily falling on the way to steady state.…”

Section: Introductionmentioning

confidence: 99%

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Entropy Production from the Master Equation for Driven Lattice Gases

Kumar¹,

Ford²,

Zielke³

et al. 2012

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Entropy production was calculated for the driven lattice gas on small two-dimensional square, hexagonal and triangular lattices. Steady-state and time-dependent properties were calculated with the master equation, using the complete transition matrix for all configurations. Entropy production from dissipated work or from probability current was the same for transition rates that preserved local detailed balance. Entropy production was calculated along several relaxation paths. Steady states, on all three lattices, were not states of either maximum or minimum entropy production.

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“…The latter is constructed on the basis of a harmonic potential, but any other potential or initial distribution the TFT breaks down. Respect to the stochastic thermodynamics concepts briefly outlined above, we must mention a critical analysis given very recently in Velasco et al (2011): as addressed by the authors, the usual concepts of thermodynamics when extrapolated to the study of thermodynamic of small systems labelled under the strange name of "stochastic thermodynamics", some care should be taken into account when concepts of entropy and related quantities out of equilibrium are used in such a description. The authors further suggest to review the books on the thermodynamics of small systems formulated over fifty years ago by T. L. Hill Hill (1963;1968).…”

Section: Entropy Production Fluctuation Theoremmentioning

confidence: 99%