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Universal anomalous diffusion of weakly damped particles

Bezuglyy, V.; Wilkinson, M. and Mehlig, B. (2012). Universal anomalous diffusion of weakly damped particles. Physical Review E, 85 061128.

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We show that anomalous diffusion arises in two different models for the motion of randomly forced and weakly damped particles: one is a generalization of the Ornstein-Uhlenbeck process with a random force, which depends on position as well as time, the other is a generalization of the Chandrasekhar-Rosenbluth model of stellar dynamics, encompassing non-Coulombic potentials. We show that both models exhibit anomalous diffusion of position x and momentum p with the same exponents: (x2) ~ Cx t2 and (p2) ~ Cp t2/5. We are able to determine the prefactors Cx , Cp analytically.

Item Type: Journal Article
Copyright Holders: 2012 American Physical Society
ISSN: 1539-3755
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 35499
Depositing User: Michael Wilkinson
Date Deposited: 21 Nov 2012 16:46
Last Modified: 30 Nov 2012 16:50
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