title: Universal anomalous diffusion of weakly damped particles.
abstract: 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: (x{2})∼C{x}t{2} and (p{2})∼C{p}t{2/5}. We are able to determine the prefactors C{x}, C{p} analytically.
authors.affiliation: Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, United Kingdom.
authors.forename: V
authors.initials: V
authors.lastname: Bezuglyy
authors.forename: M
authors.initials: M
authors.lastname: Wilkinson
authors.forename: B
authors.initials: B
authors.lastname: Mehlig
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D004735:Energy Transfer; D008956:Models, Chemical; D015233:Models, Statistical; D013314:Stress, Mechanical
chemical_list: D003102:Colloids