Year: 1998
Type: article
Abstract: We consider a dynamical system subjected to weak but adiabatically slow fluctuations of an external origin. Based on the `adiabatic following' approximation we carry out an expansion in , where is the strength of fluctuations and 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 a `renormalized' diffusion constant or damping constant for the respective problems. The applicability of the method has been analysed critically.
Authors: Suman Kumar Banik, Deb Shankar Ray
Institution: Indian Association for the Cultivation of Science
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1981888842