Phys. Rev. Lett. 98, 250602 (2007) [4 pages]First-Passage Time Distributions for Subdiffusion in Confined GeometryReceived 8 January 2007; revised 27 February 2007; published 22 June 2007 In this Letter, we derive a relationship between the moments of the first-passage time for a random walk and the first-passage time density for subdiffusive processes modeled by continuous-time random walks. In particular, we show that the exact long-time behavior of the density depends only on the mean first-passage time of the corresponding normal diffusive process. In addition, we give explicit evaluations of the first-passage time distribution for general three-dimensional bounded domains. These results are relevant to systems involving anomalous diffusion in confinements. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.250602
DOI:
10.1103/PhysRevLett.98.250602
PACS:
05.40.Fb, 05.40.Jc
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.