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Density distribution in two Ising systems with particle exchange

Author

Listed:
  • Jean-Yves Fortin

    (Laboratoire de Physique et Chimie Théoriques, CNRS UMR 7019, Université de Lorraine)

  • Segun Goh

    (Seoul National University)

  • Chansoo Kim

    (Center for Computational Science and Social and Economic Engineering Initiative, Korea Institute of Science and Technology
    Seoul National University)

  • MooYoung Choi

    (Seoul National University)

Abstract

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. Graphical abstract

Suggested Citation

  • Jean-Yves Fortin & Segun Goh & Chansoo Kim & MooYoung Choi, 2018. "Density distribution in two Ising systems with particle exchange," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-11, December.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90045-5
    DOI: 10.1140/epjb/e2018-90045-5
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    Cited by:

    1. Goh, Segun & Woo, JunHyuk & Fortin, Jean-Yves & Choi, MooYoung, 2020. "Grand canonical description of equilibrium and non-equilibrium systems using spin formalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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    Keywords

    Statistical and Nonlinear Physics;

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