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