Statistical mechanics of thermal contact between system and bath with long-range interactions

Details Statistical mechanics of thermal contact between system and bath with long-range interactions Statistical mechanics of thermal contact between system and bath with long-range interactions

2006-08-15

arxiv.org/abs/cond-mat/0608319v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, Revtex, one figure

Scientific paper

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.

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