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**Harvard**

Bordel Velasco, S. (2011) *Non-equilibrium statistical mechanics: partition functions and steepest entropy increase*.

** BibTeX **

@article{

Bordel Velasco2011,

author={Bordel Velasco, Sergio},

title={Non-equilibrium statistical mechanics: partition functions and steepest entropy increase},

journal={Journal of Statistical Mechanics - Theory and Experiment},

issn={1742-5468},

abstract={On the basis of just the microscopic definition of thermodynamic entropy and the definition of the rate of entropy increase as the sum of products of thermodynamic fluxes and their conjugated forces, we have derived a general expression for non-equilibrium partition functions, which has the same form as the partition function previously obtained by other authors using different assumptions. Secondly we show that Onsager's reciprocity relations are equivalent to the assumption of steepest entropy ascent, independently of the choice of metric for the space of probability distributions. Finally we show that the Fisher-Rao metric for the space of probability distributions is the only one that guarantees that dissipative systems are what we call constantly describable (describable in terms of the same set of macroscopic observables during their entire trajectory of evolution towards equilibrium). The Fisher-Rao metric is fundamental to Beretta's dissipative quantum mechanics; therefore our last result provides a further justification for Beretta's theory.},

year={2011},

keywords={large deviations in non-equilibrium systems, Boltzmann equation, information-theory, thermodynamics },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 143856

A1 Bordel Velasco, Sergio

T1 Non-equilibrium statistical mechanics: partition functions and steepest entropy increase

YR 2011

JF Journal of Statistical Mechanics - Theory and Experiment

SN 1742-5468

AB On the basis of just the microscopic definition of thermodynamic entropy and the definition of the rate of entropy increase as the sum of products of thermodynamic fluxes and their conjugated forces, we have derived a general expression for non-equilibrium partition functions, which has the same form as the partition function previously obtained by other authors using different assumptions. Secondly we show that Onsager's reciprocity relations are equivalent to the assumption of steepest entropy ascent, independently of the choice of metric for the space of probability distributions. Finally we show that the Fisher-Rao metric for the space of probability distributions is the only one that guarantees that dissipative systems are what we call constantly describable (describable in terms of the same set of macroscopic observables during their entire trajectory of evolution towards equilibrium). The Fisher-Rao metric is fundamental to Beretta's dissipative quantum mechanics; therefore our last result provides a further justification for Beretta's theory.

LA eng

DO 10.1088/1742-5468/2011/05/p05013

LK http://dx.doi.org/10.1088/1742-5468/2011/05/p05013

OL 30