2-D Brownian motion in a system of traps: Application of conformal transformations
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1992Author
Burdzy, Krzysztof
Holyst, Robert
Salisbury, Thomas S.
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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 system of traps. Finally we find the placement of traps which gives the maximal drift ratio.