Vers une compréhension du principe de maximisation de production d'entropie

Abstract : In this thesis we try to understand why the maximum entropy production principlegives really good results in a wide range of Physics fields and notably in climatology. Thus we study this principle on classical toy models which mimic the behaviour of climat models. In particular we worked on the Asymmetric Simple Exclusion Process(ASEP) and on the Zero Range Process (ZRP). This enabled us first to connect MEP to an other principle which is the maximum Kolmogorov-Sinaï entropy principle (MKS). Moreover the application of MEP on these systems gives results that are physically coherent. We then wanted to extend this link between MEP and MKS in more complicated systems, before showing that, for Markov Chains, maximise the KS entropy is the same as minimise the time the system takes to reach its stationnary state (mixing time). Thus, we applied MEP to the atmospheric convection.
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Martin Mihelich. Vers une compréhension du principe de maximisation de production d'entropie. Physique mathématique [math-ph]. Université Paris-Saclay, 2015. Français. ⟨NNT : 2015SACLS038⟩. ⟨tel-01308677⟩

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