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Springer theses

Generalised Statistical Equilibrium

Isha Kotecha

Published Jan 1, 2022• 0 citations
Publisher
DOI
10.1007/978-3-030-90969-7_2

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In this paper, we address the possibility of generalising the standard analysis of thermal contact between a sample system and a heat bath, by including long range interactions between them. As a concrete example, both system and bath are treated within the long range Ising model. For this model, we derive the equilibrium probability distribution of the energy of the sample system. Equilibrium properties of the system magnetisation and stability of the solutions is discussed. We find existence of a metastable phase below a critical temperature of the bath.