Teimouri, HamidKolomeisky, Anatoly B.2013-04-292013-04-292013Teimouri, Hamid and Kolomeisky, Anatoly B.. "All-time dynamics of continuous-time random walks on complex networks." <i>The Journal of Chemical Physics,</i> 138, (2013) American Institute of Physics: 84110. http://dx.doi.org/10.1063/1.4792726.https://hdl.handle.net/1911/71019The concept of continuous-time random walks (CTRW) is a generalization of ordinary random walk models, and it is a powerful tool for investigating a broad spectrum of phenomena in natural, engineering, social, and economic sciences. Recently, several theoretical approaches have been developed that allowed to analyze explicitly dynamics of CTRW at all times, which is critically important for understanding mechanisms of underlying phenomena. However, theoretical analysis has been done mostly for systems with a simple geometry. Here we extend the original method based on generalized master equations to analyze all-time dynamics of CTRWmodels on complex networks. Specific calculations are performed for models on lattices with branches and for models on coupled parallelchain lattices. Exact expressions for velocities and dispersions are obtained. Generalized fluctuations theorems for CTRW models on complex networks are discussed.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1063/1.4792726