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Entropy 2013, 15(7), 2570-2584; doi:10.3390/e15072570

Fact-Checking Ziegler’s Maximum Entropy Production Principle beyond the Linear Regime and towards Steady States

University of Luxembourg, Campus Limpertsberg, 162a avenue de la Faïencerie, L-1511(G. D. Luxembourg) Luxembourg
Received: 14 March 2013 / Revised: 20 May 2013 / Accepted: 21 June 2013 / Published: 28 June 2013
(This article belongs to the Special Issue Maximum Entropy Production)
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Abstract

We challenge claims that the principle of maximum entropy production produces physical phenomenological relations between conjugate currents and forces, even beyond the linear regime, and that currents in networks arrange themselves to maximize entropy production as the system approaches the steady state. In particular: (1) we show that Ziegler’s principle of thermodynamic orthogonality leads to stringent reciprocal relations for higher order response coefficients, and in the framework of stochastic thermodynamics, we exhibit a simple explicit model that does not satisfy them; (2) on a network, enforcing Kirchhoff’s current law, we show that maximization of the entropy production prescribes reciprocal relations between coarse-grained observables, but is not responsible for the onset of the steady state, which is, rather, due to the minimum entropy production principle.
Keywords: maximum and minimum entropy production; reciprocal relations; thermodynamic orthogonality; steady states maximum and minimum entropy production; reciprocal relations; thermodynamic orthogonality; steady states
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Polettini, M. Fact-Checking Ziegler’s Maximum Entropy Production Principle beyond the Linear Regime and towards Steady States. Entropy 2013, 15, 2570-2584.

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