Introduction to Micro Life of Graphs. I.

被引：0

作者：

Malyshev, V. A. ^{[1
]}

Zamyatin, A. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Mech & Math Fac, Leninskie Gory 1, Moscow 119991, Russia

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2021年 / 27卷 / 02期

关键词：

metric graphs; multi particle systems; virial theorem; deterministic equilibrium; non-equilibrium; ONE-DIMENSIONAL SYSTEM; PARTICLES;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Multiparticle systems on complicated metric graphs might have many applications in physics, biology and social life. But the corresponding science still does not exist. Here we start it with simplest examples where there is quadratic interaction between neighboring particles and deterministic external forces. In this introduction we consider stable configurations and stable flows on one and two edge graphs. Moreover, distribution of mean (as in virial theorem) kinetic and potential energies along the graph is considered.

引用

页码：159 / 196

页数：38

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