title: Anomalous diffusion in nonlinear oscillators with multiplicative noise.
abstract: The time-asymptotic behavior of undamped, nonlinear oscillators with a random frequency is investigated analytically and numerically. We find that averaged quantities of physical interest such as the oscillator's mechanical energy, root-mean-square position, and velocity grow algebraically with time. The scaling exponents and associated generalized diffusion constants are calculated when the oscillator's potential energy grows as a power of its position: U(x) approximately x(2n) for |x|--> infinity. Correlated noise yields anomalous diffusion exponents equal to half the value found for white noise.
authors.affiliation: Service de Physique Théorique, Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette Cedex, France. mallick@spht.saclay.cea.fr
authors.forename: Kirone
authors.initials: K
authors.lastname: Mallick
authors.forename: Philippe
authors.initials: P
authors.lastname: Marcq