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http://hdl.handle.net/1942/3918
Title: | 1st passage times and transport in systems with disorder | Authors: | VAN DEN BROECK, Christian BALAKRISHNAN, Venkataraman |
Issue Date: | 1991 | Publisher: | VCH PUBLISHERS INC | Source: | BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 95(3). p. 342-348 | Abstract: | We illustrate how first passage times can be calculated in systems with disorder. We use a renormalization approach to discuss first passage times in one-dimensional continuous time random walks and deterministic fractals. We discuss the phenomenon of field-induced trapping on a random comb. Finally, we calculate mean first-passage times for one-dimensional random walks, and discuss, in particular, the case of Sinai disorder. In a short Appendix, we show how mean first-passage times can be calculated for an arbitrary inhomogeneous continuous time random walk in one dimension, using a recursion relation similar in spirit to the renormalization approach. | Notes: | LIMBURGS UNIV CENTRUM,B-3610 DIEPENBEEK,BELGIUM. INDIAN INST TECHNOL,DEPT PHYS,MADRAS 600036,TAMIL NADU,INDIA.VANDENBROECK, C, UNIV CALIF SAN DIEGO,DEPT CHEM,B-040,LA JOLLA,CA 92093. | Keywords: | DIFFUSION; STATISTICAL MECHANICS; TRANSPORT PROPERTIES | Document URI: | http://hdl.handle.net/1942/3918 | ISI #: | A1991FK36900020 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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