Bibliographic Details
| Title: |
Fokker-Planck Approach to Wave Turbulence. |
| Authors: |
Schubring, Daniel1 (AUTHOR) daschubring@gmail.com |
| Source: |
Journal of Statistical Physics. Jul2026, Vol. 193 Issue 7, p1-24. 24p. |
| Subjects: |
Fokker-Planck equation, Path integrals, Energy dissipation, Nonequilibrium thermodynamics, Nonlinear waves |
| Abstract: |
The Kolmogorov-Zakharov stationary states for weak wave turbulence involve solving a leading-order kinetic equation. Recent calculations of higher-order corrections to this kinetic equation using the Martin-Siggia-Rose path integral are reconsidered in terms of stationary states of a Fokker-Planck operator. A non-perturbative relation closely related to the quantum mechanical Ehrenfest theorem is introduced and used to express the kinetic equation in terms of divergences of two-point expectation values in the limit of zero dissipation. Similar equations are associated to divergences in higher-order cumulants. It is additionally shown that the ordinary thermal equilibrium state is not actually a stationary state of the Fokker-Planck operator, and a non-linear modification of dissipation is considered to remedy this. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
