Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension

被引：1
|
作者：
Butera, P. [1 ,2 ]
Pernici, M. [3 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Fis, I-20126 Milan, Italy
[2] Ist Nazl Fis Nucl, Sez Milano Bicocca, I-20126 Milan, Italy
[3] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 444卷
关键词：
Lattice hard-sphere gas; Virial expansion; Ising model; Low-temperature expansion; 3-DIMENSIONAL LATTICES; SQUARE LATTICE; MODEL; FIELD; DERIVATION; EXPANSIONS; UNIVERSALITY; SINGULARITY; CAPACITY; CHANNEL;
D O I：
10.1016/j.physa.2015.09.103
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension d, through the 13th order. These calculations are based on our recent extension to dimension d of the lowtemperature expansions for the specific free-energy of the spin-1/2 Ising models subject to a uniform magnetic field on the (hyper-)simple-cubic lattices. Estimates of the model parameters are given also for some other lattices. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：220 / 234
页数：15
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