Contact topology and non-equilibrium thermodynamics

被引：3

作者：

Entov, Michael ^{[1
]}

Polterovich, Leonid ^{[2
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, Israel

来源：

NONLINEARITY | 2023年 / 36卷 / 06期

基金：

以色列科学基金会;

关键词：

contact manifold; Hamiltonian flow; non-equilibrium thermodynamics; contact thermodynamics; Ising model; Legendrian submanifold; 82Cxx; 53Dxx; 37Jxx; AUBRY-MATHER THEORY; DYNAMICS; MODEL; TIME;

D O I：

10.1088/1361-6544/acd1ce

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a method, based on contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifold and asymptotically converge to another Legendrian submanifold. We discuss a mathematical model of non-equilibrium thermodynamics where such trajectories play a role of relaxation processes, and illustrate our results in the case of the Glauber dynamics for the mean field Ising model.

引用

页码：3349 / 3375

页数：27

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