Macroscopic constraints for the minimum entropy production principle

Details Macroscopic constraints for the minimum entropy production principle Macroscopic constraints for the minimum entropy production principle

2011-05-20

arxiv.org/abs/1105.4131v4

Phys. Rev. E 84, 051117 (2011)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure. Published version

Scientific paper

In an essential and quite general setup, based on networks, we identify Schnakenberg's observables as the constraints that prevent a system from relaxing to equilibrium, showing that, in the linear regime, steady states satisfy a minimum entropy production principle. The result is applied to master equation systems, opening a new path to a well-known version of the principle regarding invariant states. Moreover, with the aid of a simple example, the principle is shown to conform to Prigogine's original formulation. Finally, we discuss analogies and differences with a recently proposed maximum entropy production principle.

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