Thermodynamic entropy as a Noether invariant

by Dr Yuki Yokokura

Monday 25 Jan 2016, 13:30 → 14:30 Asia/Tokyo

Main Research Building 433 (RIKEN Wako)

Date: Jan 25 (Mon) Time: 13:30 - Place: Main Research bldg. 433 Speaker: Yuki Yokokura (RIKEN) Title: Thermodynamic entropy as a Noether invariant Abstract: We study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal non-uniform time translation $t\to t+\eta\hbar \beta$, where $\eta$ is a small parameter, $\hbar$ is the Planck constant, $\beta$ is the inverse temperature that depends on the energy and control parameter, and trajectories in the phase space are restricted to those consistent with quasi-static processes in thermodynamics. [arXiv:1509.08943] See more QHP seminars