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Analysis of Trajectory Entropy for Continuous Stochastic Processes at Equilibrium

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

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dc.contributor.authorHaas, Kevin R-
dc.contributor.authorYang, Haw-
dc.contributor.authorChu, Jhih-Wei-
dc.date.accessioned2016-10-17T14:14:00Z-
dc.date.available2016-10-17T14:14:00Z-
dc.date.issued2014-07-17en_US
dc.identifier.citationHaas, Kevin R, Yang, Haw, Chu, Jhih-Wei. "Analysis of Trajectory Entropy for Continuous Stochastic Processes at Equilibrium" The Journal of Physical Chemistry B, (28), 118, 8099 - 8107, doi:10.1021/jp501133wen_US
dc.identifier.issn1520-6106-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr17s33-
dc.description.abstractThe analytical expression for the trajectory entropy of the over-damped Langevin equation is derived via two approaches. The first route goes through the Fokker-Planck equation that governs the propagation of the conditional probability density while the second method goes through the path integral of the Onsager-Machlup action. The agreement of these two approaches in the continuum limit underscores the equivalence between the partial differential equation and the path integral formulations for stochastic processes in the context of trajectory entropy. The values obtained using the analytical expression are also compared with those calculated with numerical solutions for arbitrary time resolutions of the trajectory. Quantitative agreement is clearly observed consistently across different models as the time interval between snapshots in the trajectories decreases. Furthermore, analysis of different scenarios illustrates how the deterministic and stochastic forces in the Langevin equation contribute to the variation in dynamics measured by the trajectory entropyen_US
dc.format.extent8099 - 8107en_US
dc.language.isoen_USen_US
dc.relation.ispartofThe Journal of Physical Chemistry Ben_US
dc.rightsThis is the author’s final manuscript. All rights reserved to author(s).en_US
dc.titleAnalysis of Trajectory Entropy for Continuous Stochastic Processes at Equilibriumen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1021/jp501133w-
dc.identifier.eissn1520-5207-

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