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.
- Publication:
-
Physical Review E
- Pub Date:
- June 2011
- DOI:
- 10.1103/PhysRevE.83.062102
- arXiv:
- arXiv:1101.4550
- Bibcode:
- 2011PhRvE..83f2102P
- Keywords:
-
- 02.50.-r;
- 05.40.-a;
- 05.10.Gg;
- Probability theory stochastic processes and statistics;
- Fluctuation phenomena random processes noise and Brownian motion;
- Stochastic analysis methods;
- Condensed Matter - Statistical Mechanics;
- Mathematics - Probability
- E-Print:
- 5 pages