The exact solution of a mean-field monomer-dimer model with attractive potential

被引：8
|
作者：
Alberici, D. [1 ]
Contucci, P. [1 ]
Mingione, E. [1 ]
机构：
[1] Univ Bologna, Dept Math, I-40127 Bologna, Italy
来源：
EPL | 2014年 / 106卷 / 01期
关键词：
STATISTICAL-THEORY; ADSORPTION; MATCHINGS;
D O I：
10.1209/0295-5075/106/10001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A monomer-dimer model with an attractive interaction that favors a phase separation between monomers and dimers is exactly solved in the mean-field case. With the identification of a suitable variational principle the free energy is computed in the large volume limit using the Heilmann-Lieb pure hard-core ansatz. The monomer density, that turns out to be the order parameter of the model, is shown to have a first-order phase transition along a coexistence curve. Copyright (C) EPLA, 2014
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页数：3
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