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Trajectory Entropy of Continuous Stochastic Processes at Equilibrium

Author(s): Haas, Kevin R; Yang, Haw; Chu, Jhih-Wei

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Abstract: 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 over-damped 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 could have direct implications in chemical and phase equilibria, bond isomerization and conformational changes in biological macromolecules, as well transport problems in general.
Publication Date: 20-Mar-2014
Citation: Haas, Kevin R, Yang, Haw, Chu, Jhih-Wei. "Trajectory Entropy of Continuous Stochastic Processes at Equilibrium" The Journal of Physical Chemistry Letters, (6), 5, 999 - 1003, doi:10.1021/jz500111p
DOI: doi:10.1021/jz500111p
ISSN: 1948-7185
Pages: 999 - 1003
Type of Material: Journal Article
Journal/Proceeding Title: The Journal of Physical Chemistry Letters
Version: This is the author’s final manuscript. All rights reserved to author(s).

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