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Study of equilibrium thermodynamics of multiply substituted isotopologues using Boltzmann distribution

August 2019

DOI: 10.13140/RG.2.2.14329.08801

Conference: Goldschmidt 2019

Authors:

Chirantan Pramanik

Weizmann Institute of Science

Ruby Saha

Indian Institute of Technology Madras

Prosenjit Ghosh

Indian Institute of Science

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The aim is to research equilibrium distributions for hierarchically organized systems. These systems are divided into weakly coupled groups. In the first step, equilibrium distributions are obtained for isolated groups considered as micro-canonical ensembles. In a second step, the couplings between the groups are taken into account and the equilibrium distribution is obtained for the whole ... [Show full abstract] hierarchical system. It is shown that the entropy of a hierachical multi-level system is the sum of entropies relative to each level and of coupling entropies. We particularly study the entropy exchanges between the hierarchical levels, or vertical exchanges of entropy. Microcanonical ensembles with non-equiprobable states are studied. The method is applied to an ecological example of coupled individual and population levels.

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