Trajectory entropy of continuous stochastic processes at equilibrium

Kevin R. Haas, Haw Yang, Jhih Wei Chu

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We propose to quantify the trajectory entropy of a dynamic system as the information content in excess of a free-diffusion reference model. The space-time trajectory is now the dynamic variable, and its path probability is given by the Onsager-Machlup action. For the time propagation of the overdamped Langevin equation, we solved the action path integral in the continuum limit and arrived at an exact analytical expression that emerged as a simple functional of the deterministic mean force and the stochastic diffusion. This work may have direct implications in chemical and phase equilibria, bond isomerization, and conformational changes in biological macromolecules as well transport problems in general.

Original languageEnglish (US)
Pages (from-to)999-1003
Number of pages5
JournalJournal of Physical Chemistry Letters
Issue number6
StatePublished - Mar 20 2014

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Physical and Theoretical Chemistry


  • overdamped Langevin dynamics
  • trajectory entropy
  • trajectory path integral


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