Pathway structure determination in complex stochastic networks with non-exponential dwell times
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Analysisᅠof complexᅠnetworksᅠhas been widely used as a powerful tool for investigating various physical, chemical, and biological processes. To understand the emergentᅠpropertiesᅠof these complex systems, one of the most basic issues is to determine the structure andᅠtopologyᅠof the underlyingᅠnetworks.ᅠRecently, a newᅠtheoreticalᅠapproach based on first-passageᅠanalysisᅠhas been developed for investigating the relationship between structure and dynamicᅠpropertiesᅠforᅠnetworkᅠsystems with exponential dwell time distributions. However, many real phenomena involve transitions with non-exponential waiting times. We extend the first-passage method to uncover the structure of distinct pathways in complexᅠnetworksᅠwith non-exponential dwell time distributions. It is found that theᅠanalysisᅠof early time dynamics provides explicit information on the length of the pathways associated to their dynamicᅠproperties.ᅠIt reveals a universal relationship that we have condensed in one general equation, which relates the number of intermediate states on the shortest path to the early time behavior of the first-passage distributions. Ourᅠtheoreticalᅠpredictions are confirmed by extensiveᅠMonte Carlo simulations.
Description
Advisor
Degree
Type
Keywords
Citation
Li, Xin, Kolomeisky, Anatoly B. and Valleriani, Angelo. "Pathway structure determination in complex stochastic networks with non-exponential dwell times." The Journal of Chemical Physics, 140, no. 18 (2014) AIP Publishing: http://dx.doi.org/10.1063/1.4874113.