SciPost Submission Page
Local detailed balance
by Christian Maes
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Christian Maes |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2011.09200v1 (pdf) |
| Date accepted: | 2021-06-29 |
| Date submitted: | 2020-12-03 11:13 |
| Submitted by: | Maes, Christian |
| Submitted to: | SciPost Physics Lecture Notes |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
Abstract
We review the physical meaning and mathematical implementation of the condition of local detailed balance for a class of nonequilibrium mesoscopic processes. A central concept is that of fluctuating entropy flux for which the steady average gives the mean entropy production rate. We repeat how local detailed balance is essentially equivalent to the widely discussed fluctuation relations for that entropy flux and hence is at most "only half of the story."
Published as SciPost Phys. Lect. Notes 32 (2021)
Reports on this Submission
Anonymous Report 1 on 2021-3-11 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2011.09200v1, delivered 2021-03-11, doi: 10.21468/SciPost.Report.2683
Strengths
1. Excellent introduction to the concept of local detailed balance in nonequilibrium statistical physics. The foundations are accompanied by simple examples.
Report
The manuscript by Maes is an excellent introduction to the concept of local detailed balance in nonequilibrium statistical physics. I enjoyed reading the document, and only have a number of minor comments or requests for clarification, for what otherwise is an excellent and clear manuscript. I strongly recommend publication.
Requested changes
1. p. 2: Wlile -> While
2. p.3: Non-conservative forces are considered in dimensions D>1. For D=1, can the presence of periodic boundary conditions also facilitate non-conservative forces?
3. p.5: Equation between (9) and (10) (unfortunately not numbered): aren't there missing contributions for sites 2...N-1?
4. It might be worthwhile to introduce early on symmetric vs antisymmetric driving and their physical significance and consequences.
Author: Christian Maes on 2021-06-16 [id 1509]
(in reply to Report 1 on 2021-03-11)Many thanks for the encouraging report. The requested changes are easy to make, except that i am not sure (for 4.) whether i want to bring forward the symmetric vs antisymmetric driving - the paper is about local detailed balance and should not defocus too much.