Nonergodic solutions of the generalized Langevin equation

Details Nonergodic solutions of the generalized Langevin equation Nonergodic solutions of the generalized Langevin equation

2011-01-24

arxiv.org/abs/1101.4550v3

Phys. Rev. E 83, 062102 (2011)

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

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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