View in EDS

Fokker-Planck Approach to Wave Turbulence.

Saved in:
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
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 194640106
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Fokker-Planck Approach to Wave Turbulence.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Schubring%2C+Daniel%22">Schubring, Daniel</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> daschubring@gmail.com</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Physics%22">Journal of Statistical Physics</searchLink>. Jul2026, Vol. 193 Issue 7, p1-24. 24p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Fokker-Planck+equation%22">Fokker-Planck equation</searchLink><br /><searchLink fieldCode="DE" term="%22Path+integrals%22">Path integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonequilibrium+thermodynamics%22">Nonequilibrium thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+waves%22">Nonlinear waves</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>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.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194640106
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s10955-026-03639-6
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 1
    Subjects:
      – SubjectFull: Fokker-Planck equation
        Type: general
      – SubjectFull: Path integrals
        Type: general
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Nonequilibrium thermodynamics
        Type: general
      – SubjectFull: Nonlinear waves
        Type: general
    Titles:
      – TitleFull: Fokker-Planck Approach to Wave Turbulence.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Schubring, Daniel
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00224715
          Numbering:
            – Type: volume
              Value: 193
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: Journal of Statistical Physics
              Type: main
ResultId 1