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Size Independence of Statistics for Boundary Collisions of Random Walks and Its Implications for Spin-Polarized Gases

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Author(s): Dominique J. Bicout, Efim I. Kats, Alexander K. Petukhov, and Robert S. Whitney

A bounded random walk exhibits strong correlations between collisions with a boundary. For a one-dimensional walk, we obtain the full statistical distribution of the number of such collisions in a time t. In the large t limit, the fluctuations in the number of collisions are found to be size indepen…

[Phys. Rev. Lett. 110, 010602] Published Wed Jan 02, 2013

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