黏性、可逆性、混沌假设、涨落定理与李雅普诺夫配对
统计力学
2024-01-02 v4
摘要
研究具有 UV 截断和周期边界条件的不可压缩流体方程。考虑所得常微分方程在截断中一致成立的性质，并特别推测其等价于其他时间可逆方程的性质。在“混沌假设”、“Axiom C”和“涨落定理”的语境下，检验了具有相同正则化并等价描述流体及大类可观测量的涨落的 reversible 方程。
引用
@article{arxiv.2102.10125,
title = {Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing},
author = {Giovanni Gallavotti},
journal= {arXiv preprint arXiv:2102.10125},
year = {2024}
}
备注
Version 3:Appendix C removed (together with reference to it following Eq. (A.7)) due to errors in an attempt to understand heuristically the apparent approximate symmetry of the Lyapunov exponents. Former Appendix D is now Appendix C