last revised 4 Mar 2015 (this version， and how they make their entrée in irreversible thermodynamics. Comments: 19 pages， by Christian Maes and 1 other authors View PDF Abstract: Glansdorff and Prigogine (1970) proposed a decomposition of the entropy production rate， [Submitted on 8 Oct 2014 (v1)， v2)] Title: Revisiting the Glansdorff-Prigogine criterion for stability within irreversible thermodynamics Authors: Christian Maes， nonequilibrium free energies。
while ignoring fluctuations， which today is mostly known for Markov processes as the Hatano-Sasa approach. Their context was irreversible thermodynamics which，。
for which we state a simple sufficient condition， Karel Netocny View a PDF of the paper titled Revisiting the Glansdorff-Prigogine criterion for stability within irreversible thermodynamics， v1-v2: minor corrections and some rearrangement (mainly Sections I and II) Subjects: Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:1410.2183 [cond-mat.stat-mech] (or arXiv:1410.2183v2 [cond-mat.stat-mech] for this version) https://doi.org/10.48550/arXiv.1410.2183 Focus to learn more arXiv-issued DOI via DataCite Journalreference: J Stat Phys (2015) 159: 1286 Related DOI: https://doi.org/10.1007/s10955-015-1239-4 Focus to learn more DOI(s) linking to related resources ， still allows a somewhat broader treatment than the one based on the Master or Fokker-Planck equation. Glansdorff and Prigogine were the first to introduce a notion of excess entropy production rate $\delta^2$EP and they suggested as sufficient stability criterion for a nonequilibrium macroscopic condition that $\delta^2$EP be positive. We find for nonlinear diffusions that their excess entropy production rate is itself the time-derivative of a local free energy which is the close-to-equilibrium functional governing macroscopic fluctuations. The positivity of the excess $\delta^2$EP， is therefore equivalent with the monotonicity in time of that functional in the relaxation to steady nonequilibrium. There also appears a relation with recent extensions of the Clausius heat theorem close-to-equilibrium. The positivity of $\delta^2$EP immediately implies a Clausius (in)equality for the excess heat. A final and related question concerns the operational meaning of fluctuation functionals。