title: Hamiltonian theory of stochastic acceleration.
abstract: Stochastic acceleration, defined in terms of a stochastic equation of motion for the acceleration, is derived from a Hamiltonian model. A free particle is coupled bilinearly to a harmonic bath through the particle's momentum and coordinate. Under appropriate conditions, momentum coupling induces velocity diffusion which is not destroyed by the spatial coupling. Spatial-momentum coupling may induce spatial subdiffusion. The thermodynamic equilibrium theory presented in this paper does not violate the second law of thermodynamics, although the average velocity squared of the particle may increase in time without bound.
authors.affiliation: Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Leninsky Prospekt 29, 119991 Moscow, Russia.
authors.forename: Yurii A
authors.initials: YA
authors.lastname: Makhnovskii
authors.forename: Eli
authors.initials: E
authors.lastname: Pollak