Exact Langevin equation for electrons in thermostat, Fokker-Planck kinetics and flicker noise

Details Exact Langevin equation for electrons in thermostat, Fokker-Planck kinetics and flicker noise Exact Langevin equation for electrons in thermostat, Fokker-Planck kinetics and flicker noise

2001-02-09

arxiv.org/abs/cond-mat/0102171v1

Physics

Condensed Matter

Statistical Mechanics

24 pages, no figures

Scientific paper

Generalized Langevin equation for characteristic functional of many-electron system dynamically interacting with a thermostat and besides subjected to external perturbation and observation is derived and formulated in terms of one-particle but stochastic density matrix. The scheme naturally includes also direct electron-electron interactions. Corresponding approximate Fokker-Plank kinetic equation is discussed. We point out that it possesses continuous degeneracy of stationary solution and therefore can hide long-correlated fluctuations of electron transport even if thermostat noise is short-correlated.

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