RIBF Nuclear Physics Seminar
# Thermodynamic entropy as a Noether invariant

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Asia/Tokyo

201 (RIBF Hall)
### 201

#### RIBF Hall

Description

=Date and Place=

Oct. 4th(Tue.), 13:30~ at RIBF Hall(201)

=Lecturer=

Dr.Yuki Yokokura

(Interdisciplinary Theoretical Science Research Group Interdisciplinary Computational Sciences Team (iTHES-CS))

=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.

[S.Sasa and Y.Yokokura, Phys. Rev. Lett. 116, 140601 (2016)]

Oct. 4th(Tue.), 13:30~ at RIBF Hall(201)

=Lecturer=

Dr.Yuki Yokokura

(Interdisciplinary Theoretical Science Research Group Interdisciplinary Computational Sciences Team (iTHES-CS))

=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.

[S.Sasa and Y.Yokokura, Phys. Rev. Lett. 116, 140601 (2016)]