Bravetti Alessandro, García-Ariza Miguel Ángel, Tapias Diego
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de Mexico, A. P. 70543, Ciudad de Mexico 04510, Mexico.
Institute for Theoretical Physics, University of Göttingen, 37073 Göttingen, Germany.
Entropy (Basel). 2023 Jul 19;25(7):1082. doi: 10.3390/e25071082.
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.
我们运用接触哈密顿系统的诺特定理公式，推导热力学熵与时间平移对称性相关的诺特不变量之间的关系。在处于平衡态的恒温系统这一特殊情形下，我们表明，由此可得系统加储热器的总熵是守恒的。我们的结果有助于从几何角度理解热力学熵。
