Abstract
We investigate subdiffusion in the quenched trap model by mapping the problem onto a new stochastic process: Brownian motion stopped at the operational time Sα=∑x=-∞(nx)α where nx is the visitation number at site x and α is a measure of the disorder. In the limit of zero temperature we recover the renormalization group solution found by Monthus. Our approach is an alternative to the renormalization group and is capable of dealing with any disorder strength.
Original language | English |
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Article number | 140602 |
Journal | Physical Review Letters |
Volume | 106 |
Issue number | 14 |
DOIs | |
State | Published - 8 Apr 2011 |