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2-D Brownian motion in a system of traps: Application of conformal transformations
(Institute of Physics, 1992)
We study two-dimensional Brownian motion in a periodic system of traps using conformal transformations. The system is periodic in the x and y directions. We calculate the ratio of the drift along the y-axis to the drift along the x-axis. The drift of the Brownian particle is induced by conditioning and by the asymmetry of
the ...
2-D Brownian motion in a system of reflecting barriers: effective diffusivity by a sampling method
(Institute of Physics, 1994-02-07)
We study two-dimensional Brownian motion in an ordered periodic system of linear reflecting barriers using the sampling method and conformal transformations. We calculate the effective diffusivity for the Brownian particle. When the periods are fixed but the length of the barrier goes to zero, the effective diffusivity in ...