تقرير
Size-independence of statistics for boundary collisions of random walks and its implications for spin-polarized gases
العنوان: | Size-independence of statistics for boundary collisions of random walks and its implications for spin-polarized gases |
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المؤلفون: | Bicout, Dominique J., Kats, Efim, Petukhov, Alexander K., Whitney, Robert S. |
المصدر: | Phys. Rev. Lett. 110, 010602 (2013) |
سنة النشر: | 2011 |
المجموعة: | Condensed Matter Physics (Other) |
مصطلحات موضوعية: | Physics - Atomic Physics, Condensed Matter - Statistical Mechanics |
الوصف: | A bounded random walk exhibits strong correlations between collisions with a boundary. For an 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-independent (independent of the distance between boundaries). This occurs for any inter-boundary distance, including less and greater than the mean-free-path, and means that this boundary effect does not decay with increasing system-size. As an application, we consider spin-polarized gases, such as 3-Helium, in the three-dimensional diffusive regime. The above results mean that the depolarizing effect of rare magnetic-impurities in the container walls is orders of magnitude larger than a Smoluchowski assumption (to neglect correlations) would imply. This could explain why depolarization is so sensitive to the container's treatment with magnetic fields prior to its use. Comment: 5 page manuscript with extra details in appendices (additional 3 pages) |
نوع الوثيقة: | Working Paper |
DOI: | 10.1103/PhysRevLett.110.010602 |
URL الوصول: | http://arxiv.org/abs/1112.4817 |
رقم الأكسشن: | edsarx.1112.4817 |
قاعدة البيانات: | arXiv |
DOI: | 10.1103/PhysRevLett.110.010602 |
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