標題: Analysis of Trajectory Entropy for Continuous Stochastic Processes at Equilibrium
作者: Haas, Kevin R.
Yang, Haw
Chu, Jhih-Wei
生物科技學系
生物資訊及系統生物研究所
Department of Biological Science and Technology
Institude of Bioinformatics and Systems Biology
公開日期: 17-Jul-2014
摘要: The analytical expression for the trajectory entropy of the overdamped 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 entropy.
URI: http://dx.doi.org/10.1021/jp501133w
http://hdl.handle.net/11536/24872
ISSN: 1520-6106
DOI: 10.1021/jp501133w
期刊: JOURNAL OF PHYSICAL CHEMISTRY B
Volume: 118
Issue: 28
起始頁: 8099
結束頁: 8107
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