Thermodynamic Entropy as a Noether Invariant from Contact Geometry

被引：8

作者：

Bravetti, Alessandro ^{[1
]}

Garcia-Ariza, Miguel Angel ^{[1
]}

Tapias, Diego ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, AP 70543, Ciudad De Mexico 04510, Mexico

[2] Univ Gottingen, Inst Theoret Phys, D-37073 Gottingen, Germany

来源：

ENTROPY | 2023年 / 25卷 / 07期

关键词：

Noether's theorem; Hamiltonian systems; contact geometry; entropy; thermostatted systems; DYNAMICS;

D O I：

10.3390/e25071082

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry. In the particular case of thermostatted systems at equilibrium, we show that the total entropy of the system plus the reservoir are conserved as a consequence thereof. Our results contribute to understanding thermodynamic entropy from a geometric point of view.

引用

页数：9

共 41 条

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