ON THE SPAN OF BROWNIAN MOTION IN A FIELD IN ONE DIMENSIONстатья
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Дата последнего поиска статьи во внешних источниках: 3 мая 2017 г.
Аннотация:We study the effect of a field on the span of a particle diffusing on a line, i.e., the length
covered by a Brownian particle which moves on a line for time t in the presence of a constant
field. This is the one-dimensional analog of the Wiener sausage volume. Exact expressions are
found for the probability density for the span together with the first two moments. Our results
indicate that at very short times the dominant effect is diffusion while at very long times the field plays the dominant role.