Linear systems with adiabatic fluctuations
Statistical Mechanics
2009-10-31 v1
Abstract
We consider a dynamical system subjected to weak but adiabatically slow fluctuations of external origin. Based on the ``adiabatic following'' approximation we carry out an expansion in \alpha/|\mu|, where \alpha is the strength of fluctuations and 1/|\mu| refers to the time scale of evolution of the unperturbed system to obtain a linear differential equation for the average solution. The theory is applied to the problems of a damped harmonic oscillator and diffusion in a turbulent fluid. The result is the realization of `renormalized' diffusion constant or damping constant for the respective problems. The applicability of the method has been critically analyzed.
Cite
@article{arxiv.cond-mat/9807031,
title = {Linear systems with adiabatic fluctuations},
author = {S. K. Banik and D. S. Ray},
journal= {arXiv preprint arXiv:cond-mat/9807031},
year = {2009}
}
Comments
Plain Latex, no figure, 21 pages