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- W2000718142 abstract "In earlier work we have studied the expected number of distinct sites (ENDS) visited by N random walkers in time t on a translationally invariant lattice. Optical applications suggest the interest in analysing the same problem for a semi-infinite lattice in three dimensions bounded by a plane of absorbing sites. We here study this problem, showing a multiplicity of time regimes, and at the longest times showing that the ENDS is proportional to N√t where t is the time. In the absence of a boundary the comparable result is proportional to Nt. Thus, the boundary effect eliminates approximately √t random walks." @default.
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- W2000718142 date "2003-07-22" @default.
- W2000718142 modified "2023-09-27" @default.
- W2000718142 title "Expected number of distinct sites visited byNrandom walks in the presence of an absorbing boundary" @default.
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- W2000718142 doi "https://doi.org/10.1088/0305-4470/36/31/302" @default.
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