Continuous time random walk with jump length correlated with waiting time
AbstractA coupled continuous time random walk (CTRW) model is proposed, in which the jump length of a walker is correlated with waiting time. The power law distribution is chosen as the probability density function of waiting time and the Gaussian-like distribution as the probability density function of jump length. Normal diffusion, subdiffusion and superdiffusion can be realized within the present model. It is shown that the competition between long-tailed distribution and correlation of jump length and waiting time will lead to different diffusive behavior.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 392 (2013)
Issue (Month): 4 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Coupled CTRW; Power law distribution; Gaussian-like distribution; Competition;
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