SciPost Submission Page
Comparative Microscopic Study of Entropies and their Production
by Philipp Strasberg, Joseph Schindler
Submission summary
| Authors (as registered SciPost users): | Philipp Strasberg |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2403.09403v2 (pdf) |
| Date accepted: | 2024-10-28 |
| Date submitted: | 2024-09-03 12:47 |
| Submitted by: | Strasberg, Philipp |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We study the time evolution of eleven microscopic entropy definitions (of Boltzmann-surface, Gibbs-volume, canonical, coarse-grained-observational, entanglement and diagonal type) and three microscopic temperature definitions (based on Boltzmann, Gibbs or canonical entropy). This is done for the archetypal nonequilibrium setup of two systems exchanging energy, modeled here with random matrix theory, based on numerical integration of the Schroedinger equation. We consider three types of pure initial states (local energy eigenstates, decorrelated and entangled microcanonical states) and three classes of systems: (A) two normal systems, (B) a normal and a negative temperature system and (C) a normal and a negative heat capacity system. We find: (1) All types of initial states give rise to the same macroscopic dynamics. (2) Entanglement and diagonal entropy sensitively depend on the microstate, in contrast to all other entropies. (3) For class B and C, Gibbs-volume entropies can violate the second law and the associated temperature becomes meaningless. (4) For class C, Boltzmann-surface entropies can violate the second law and the associated temperature becomes meaningless. (5) Canonical entropy has a tendency to remain almost constant. (6) For a Haar random initial state, entanglement or diagonal entropy behave similar or identical to coarse-grained-observational entropy.
Author indications on fulfilling journal expectations
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List of changes
Please see the replies to the Referee reports.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report #2 by Valerio Scarani (Referee 2) on 2024-10-9 (Invited Report)
Report
I am happy with the modifications made by the authors.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
Report #1 by Francesco Buscemi (Referee 1) on 2024-10-7 (Invited Report)
Report
I thank the authors for taking my comments into account in this revised version and I am satisfied with the changes.
Recommendation
Publish (meets expectations and criteria for this Journal)