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Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2018

Density distribution in two Ising systems with particle exchange

Résumé

Various physical and social systems are subject to exchanges of their constituent particles, in addition to usual energy exchanges or fluctuations. In this paper we consider a system consisting of two Ising systems, a one-dimensional lattice (solid) and a fully connected system (gas) or reservoir (with constant fugacity), and exchanging particles between the two, and study the exact distribution of particles as a function of the internal couplings, temperature, and external field. Particles (with spins) in the gas can be adsorbed onto the one-dimensional lattice (corresponding to condensation) or desorbed back into the reservoir (evaporation). The distribution of the number of particles on the lattice is computed exactly and the thermodynamic limit is studied by means of the saddle-point analysis. It is found that the probability follows a cumulative Gumbel distribution, with the argument proportional to the free energy cost of removing one site.
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Dates et versions

hal-01905620 , version 1 (26-10-2018)

Identifiants

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Jean-Yves Fortin, Segun Goh, Chansoo Kim, Mooyoung Choi. Density distribution in two Ising systems with particle exchange. The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91 (12), ⟨10.1140/epjb/e2018-90045-5⟩. ⟨hal-01905620⟩
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