Time transformation for random walks in the quenched trap model.

We investigate subdiffusion in the quenched trap model by mapping the problem onto a new stochastic process: Brownian motion stopped at the operational time S(α) = ∑(x=-∞)(∞) (n(x))(α) where n(x) 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.

• Publication year

  2010

• Venue

  Physical Review Letters

• Publication date

  2010-12-28

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.106.140602arXiv 1012.5786PMID 21561177
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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