Títol:
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Occupancy of a single site by many random walkers
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Autor/a:
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Boguñá, Marián; Berezhkovskii, A. M.; Weiss, George H. (George Herbert), 1930-
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Altres autors:
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Universitat de Barcelona |
Abstract:
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We consider an infinite number of noninteracting lattice random walkers with the goal of determining statistical properties of the time, out of a total time T, that a single site has been occupied by n random walkers. Initially the random walkers are assumed uniformly distributed on the lattice except for the target site at the origin, which is unoccupied. The random-walk model is taken to be a continuous-time random walk and the pausing-time density at the target site is allowed to differ from the pausing-time density at other sites. We calculate the dependence of the mean time of occupancy by n random walkers as a function of n and the observation time T. We also find the variance for the cumulative time during which the site is unoccupied. The large-T behavior of the variance differs according as the random walk is transient or recurrent. It is shown that the variance is proportional to T at large T in three or more dimensions, it is proportional to T3/2 in one dimension and to TlnT in two dimensions. |
Matèries:
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-Física estadística -Termodinàmica -Sistemes no lineals -Física matemàtica -Statistical physics -Thermodynamics -Nonlinear systems -Mathematical physics |
Drets:
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(c) American Physical Society, 2000
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Tipus de document:
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Article Article - Versió publicada |
Publicat per:
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The American Physical Society
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