title: Nonergodic solutions of the generalized Langevin equation.
abstract: It is known that in the regime of superlinear diffusion, characterized by zero integral friction (vanishing integral of the memory function), the generalized Langevin equation may have nonergodic solutions that do not relax to equilibrium values. It is shown that the equation may have nonergodic (nonstationary) solutions even if the integral of the memory function is finite and diffusion is normal.
authors.affiliation: Department of Mathematics, Saint Anselm College, Manchester, New Hampshire 03102, USA. aplyukhin@anselm.edu
authors.forename: A V
authors.initials: AV
authors.lastname: Plyukhin