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General relativistic stochastic thermodynamics
by Tao Wang, Yifan Cai, Long Cui, Liu Zhao
Submission summary
| Authors (as registered SciPost users): | Yifan Cai · Liu Zhao |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2311.04025v2 (pdf) |
| Date submitted: | 2024-10-04 16:03 |
| Submitted by: | Zhao, Liu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Based on the recent work [1,2], we formulate the first law and the second law of stochastic thermodynamics in the framework of general relativity. These laws are established for a charged Brownian particle moving in a heat reservoir and subjecting to an external electromagnetic field in generic stationary spacetime background, and in order to maintain general covariance, they are presented respectively in terms of the divergences of the energy current and the entropy density current. The stability of the equilibrium state is also analyzed.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
According to the reviewer's comments, we have made substantial modifications to our manuscript. Here we resubmit the revised manuscript and hope this version will meet the standard of your journal.
Sincerely,
Liu Zhao
List of changes
List of changes:
P1: Two new paragraphs are added in the introduction section in order to make a brief introduction for stochastic thermodynamics. This also incorporates two new references [5], [6] which are important landmarks of stochastic thermodynamics.
P2-P3: We enlarged the first paragraph in the beginning of Section 2, which briefly introduces the structure of and the notations in the covariant Langevin equation.
P4: Around eq. (7)-(8) we added some remarks about the convention on notations.
P5-P6: After the equation that follows eq. (15) and until eq. (18), we added some extra explanations on the state of the heat reservoir. Especially, eq. (16) presents the equilibrium conditions
for the reservoir. Two new references [17], [18] are also incorporated in this modification.
P9: Right after eq. (37), two sentences were added in order to explain the meaning of the symbols $S^\mu_R, N^\mu_R$ and $T^{\mu\nu}_R$.
P13: In the first paragraph of Section 6, the differences of the first and second laws in stochastic thermodynamic from those in standard thermodynamics are explained.