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 non-ergodic solutions which do not relax to equilibrium values. It is shown that the equation may have non-ergodic (non-stationary) solutions even if the integral of the memory function is finite and diffusion is normal.

5 pages

References in corpus (5)

• Distribution of Time-Averaged Observables for Weak Ergodicity Breaking
• Origin of hyperdiffusion in generalized Brownian motion
• Occupation Time Statistics in the Quenched Trap Model
• Khinchin theorem and anomalous diffusion
• Non-exponential relaxation for anomalous diffusion

Cited by in corpus (4)

• Localized Mode and Nonergodicity of a Harmonic Oscillator Chain
• Nonergodic Brownian oscillator
• Stochastic dynamics beyond the weak coupling limit: thermalization
• Dynamics of micro and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation