The Local Time Distribution of a Particle Diffusing on a Graph

Details The Local Time Distribution of a Particle Diffusing on a Graph The Local Time Distribution of a Particle Diffusing on a Graph

2002-09-05

arxiv.org/abs/cond-mat/0209119v1

J. Phys. A : Math. Gen. 35, L687 (2002)

Physics

Condensed Matter

Statistical Mechanics

8 pages, two figures (included)

Scientific paper

10.1088/0305-4470/35/47/102

We study the local time distribution of a Brownian particle diffusing along
the links on a graph. In particular, we derive an analytic expression of its
Laplace transform in terms of the Green's function on the graph. We show that
the asymptotic behavior of this distribution has non-Gaussian tails
characterized by a nontrivial large deviation function.

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