4.7 Article

Evanescent continuous-time random walks

期刊

PHYSICAL REVIEW E
卷 88, 期 6, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.88.062110

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资金

  1. Ministerio de Ciencia y Tecnologia (Spain) [FIS2010-16587]
  2. FEDER funds
  3. Junta de Extremadura [GRU10158]
  4. US National Science Foundation [PHY-0855471]

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We study how an evanescence process affects the number of distinct sites visited by a continuous-time random walker in one dimension. We distinguish two very different cases, namely, when evanescence can only occur concurrently with a jump, and when evanescence can occur at any time. The first is characteristic of trapping processes on a lattice, whereas the second is associated with spontaneous death processes such as radioactive decay. In both of these situations we consider three different forms of the waiting time distribution between jumps, namely, exponential, long tailed, and ultraslow.

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