Renormalization Group Approach to Dissipative System

Abstract

In order to understand the dynamical mechanism of the friction phenomena, we heavily rely on the numerical analysis using various methods: molecular dynamics, Langevin equation, lattice Boltzmann method, Monte Carlo, e.t.c.. We propose a new method which has the following characteristic points: 1) the geometrical approach to the statistical mechanical system; 2) the continuum approach using Feynman's path integral (generalized version); 3) the holographic (higher-dimensional) approach; 4) the renormalization phenomenon takes place in order to treat the statistical fluctuation.