2007/04/30 by Stijn Bruers, Bruers, Stijn
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.0704.3933
arxiv created 2007/04/30 · openalex publication_date 2007/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the last few decades, some hypotheses for entropy production (EP) principles have been forwarded as possible candidates for organizational principles in non-linear non- equilibrium systems. Two important hypotheses will be studied: the maximum entropy production (MaxEP) principle that claims that the selected steady state has the highest EP, and the gradient response principle that claims that the EP of the selected steady state (maximally) increases when the external thermodynamic driving force increases. We will formulate these hypotheses more rigorously and present a simple chemical reaction model to test these hypotheses. With the help of this model, we will clearly demonstrate that there are different MaxEP hypotheses being discussed in the literature and we will look at some parts in the literature where these differences are not always clarified. Furthermore, our chemical model will be a general counter example to all of these MaxEP and gradient response hypotheses.