Analytical calculation for the percolation crossover in deterministic partially self-avoiding walks in one-dimensional random media
نویسندگان
چکیده
منابع مشابه
Ergodic crossover in partially self-avoiding stochastic walks.
Consider a one-dimensional environment with N randomly distributed sites. An agent explores this random medium moving deterministically with a spatial memory μ. A crossover from local to global exploration occurs in one dimension at a well-defined memory value μ_{1}=log_{2}N. In its stochastic version, the dynamics is ruled by the memory and by temperature T, which affects the hopping displacem...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.75.061117