Anatoly B. Kolomeisky
Published 2009-10-21Version 1
Continuous-time random walks (CTRW) play important role in understanding of a wide range of phenomena. However, most theoretical studies of these models concentrate only on stationary-state dynamics. We present a new theoretical approach, based on generalized master equations picture, that allowed us to obtain explicit expressions for Laplace transforms for all dynamic quantities for different CTRW models. This theoretical method leads to the effective description of CTRW at all times. Specific calculations are performed for homogeneous, periodic models and for CTRW with irreversible detachments. The approach to stationary states for CTRW is analyzed. Our results are also used to analyze generalized fluctuations theorem.
Ergodic properties of continuous-time random walks: finite-size effects and ensemble dependences
Path statistics, memory, and coarse-graining of continuous-time random walks on networks
From continuous-time random walks to controlled-diffusion reaction
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