On the steady-state probability distribution of nonequilibrium stochastic systems

Jae Dong Noh, Joongul Lee

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A driven stochastic system in a constant temperature heat bath relaxes into a steady state that is characterized by the steady-state probability distribution. We investigate the relationship between the driving force and the steady-state probability distribution. We adopt the force decomposition method in which the force is decomposed as the sum of a gradient of a steady-state potential and the remaining part. The decomposition method allows one to find a set of force fields each of which is compatible with a given steady state. Such a knowledge provides useful insight into stochastic systems, especially those in a nonequilibrium situation. We demonstrate the decomposition method in stochastic systems under overdamped and underdamped dynamics and discuss the connection between them.

Original languageEnglish
Pages (from-to)544-552
Number of pages9
JournalJournal of the Korean Physical Society
Volume66
Issue number4
DOIs
StatePublished - 2015

Keywords

  • Fokker-Planck equation
  • Force decomposition
  • Nonequilibrium steady state

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