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arXiv · 1101.4550

Nonergodic solutions of the generalized Langevin equation

A. V. Plyukhin
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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.

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A. V. Plyukhin. 2011-06-17. Nonergodic solutions of the generalized Langevin equation. https://doi.org/10.1103/physreve.83.062102

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