Fortin, Jean-Yves Goh, Segun Kim, Chansoo Choi, MooYoung 2024-01-19T21:04:12Z 2024-01-19T21:04:12Z 2021-09-05 2018-12-10 1434-6028 https://pubs.kist.re.kr/handle/201004/120579 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. English SPRINGER DYNAMICS Density distribution in two Ising systems with particle exchange Article 10.1140/epjb/e2018-90045-5 1 EUROPEAN PHYSICAL JOURNAL B, v.91, no.12 EUROPEAN PHYSICAL JOURNAL B 91 12 scie scopus 000453831000006 2-s2.0-85059098113 Physics, Condensed Matter Physics Article DYNAMICS Statistical and Nonlinear Physics