2406.00165
Mesoscopic and Macroscopic Entropy Balance Equations in a Stochastic Dynamics and Its Deterministic Limit
Hong Qian, Zhongwei Shen
correctmedium confidence
- Category
- Not specified
- Journal tier
- Strong Field
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper and the candidate solution both derive the same large-α asymptotics for ep, Q_ex, and dS/dt from the Fokker–Planck framework using the WKB/Laplace method around x̂(t). They use equivalent identities and local Gaussian expansions; the candidate’s R-term matches the paper’s O(1) correction. Minor notational differences (e.g., Σ vs. ∇∇ϕ in an intermediate constant C) do not affect correctness.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} strong field
\textbf{Justification:}
The work delivers a rigorous and illuminating macroscopic entropy balance from a mesoscopic stochastic framework, including nontrivial O(1) constants. The approach is careful and connects well with established results, while adding useful detail. Minor notational clarifications would improve readability, but the results and methods appear correct and valuable.