Density distribution in two Ising systems with particle exchange
作者： Jean-Yves Fortin , Segun Goh , Chansoo Kim , MooYoung Choi , None
DOI: 10.1140/EPJB/E2018-90045-5
关键词: Condensed matter physics 、 Ising model 、 Thermodynamic limit 、 Saddle 、 Lattice (order) 、 Fugacity 、 Particle number 、 Gumbel distribution 、 Physics 、 Spins
摘要: Various physical and social systems are subject to exchanges of their constituent particles, in addition usual energy or fluctuations. In this paper, we consider a system consisting two Ising systems, one-dimensional lattice (solid) fully connected (gas) reservoir (with constant fugacity), exchanging particles between the two, study exact distribution as function internal couplings, temperature, external field. Particles spins) gas can be adsorbed onto (corresponding condensation) desorbed back into (evaporation). The number on is computed exactly thermodynamic limit studied by means saddle-point analysis. It found that probability follows cumulative Gumbel distribution, with argument proportional free cost removing one site.
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