Physics – Atomic Physics
Scientific paper
2011-12-20
Physics
Atomic Physics
6 page manuscript with extra details in appendices (additional 3 pages)
Scientific paper
A random walk exhibits strong correlations between subsequent collisions with a boundary. We study the statistics of the fluctuations in the number of such collisions, and show that they display universality in the long time limit; the variances and higher-moments being independent of the distance between boundaries. This is despite the average number of collisions scaling like one over the inter-boundary distance. In one-dimension, the universality occurs for any inter-boundary distance, from the quasi-ballistic to the diffusive regime. Extending the results to the three-dimensional diffusive regime, we analyze the depolarization of spin-polarized gases, such as 3He. We find boundary-induces depolarization processes which are independent of the container size. Our theory gives a model of why the depolarization rate for containers with magnetic impurities in their walls is extremely sensitive to the treatment of containers with magnetic fields before use.
Bicout Dominique J.
Kats Efim
Petukhov Alexander K.
Whitney Robert S.
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