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Localization-delocalization transition for drift diffusion in a random environment
journal contribution
posted on 2006-05-11, 16:22 authored by P.C. Bressloff, Vincent Dwyer, Michael J. KearneyWe investigate the localization-delocalization transition for the drift-diffusion equation on a regular tree with quenched random drift velocities on its branches. The inverse of the steady-state amplitude at the origin is expressed in terms of a random geometric series whose convergence or otherwise determines the critical phase boundary. We establish exact criteria for localization valid for an arbitrary distribution of the drift velocities. The phase transition is shown to be first order except in the percolation limit.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Pages
165878 bytesCitation
BRESSLOFF et al, 1996. Localization-delocalization transition for drift diffusion in a random environment. Physical Review Letters, 77(25), pp. 5075–5078Publisher
© American Physical SocietyPublication date
1996Notes
This article has been published in the journal, Physical Review Letters [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRL/v77/p5075.ISSN
0031-9007Language
- en