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
收藏
页码：3349 / 3375
页数：27
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