Density distribution in two Ising systems with particle exchange

Jean-Yves Fortin (), Segun Goh, Chansoo Kim and MooYoung Choi ()
Additional contact information
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
MooYoung Choi: Seoul National University

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 12, 1-11

Abstract: 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

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2018-90045-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90045-5

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2018-90045-5

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().