On Lennard-Jones Type Potentials and Hard-Core Potentials with an Attractive Tail

被引：9

作者：

Morais, Thiago ^{[1
,3
]}

Procacci, Aldo ^{[1
]}

Scoppola, Benedetto ^{[2
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00100 Rome, Italy

[3] Univ Fed Ouro Preto, Dept Matemat, BR-35400000 Ouro Preto, MG, Brazil

来源：

JOURNAL OF STATISTICAL PHYSICS | 2014年 / 157卷 / 01期

关键词：

Gas of particle; Cluster expansion; Attractive potentials; Mayer series; MANY-PARTICLE SYSTEMS; STATISTICAL-MECHANICS; EXPANSION; BOUNDS; GASES;

D O I：

10.1007/s10955-014-1067-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit an old tree graph formula, namely the Brydges-Federbush tree identity, and use it to get new bounds for the convergence radius of the Mayer series for gases of continuous particles interacting via non-absolutely summable pair potentials with an attractive tail including Lennard-Jones type pair potentials.

引用

页码：17 / 39

页数：23

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