Fokker Planck Dynamic in a Periodic Triple-Well Potential

Abstract

In this work we present a general theory for diffusion mechanism of Brownian particle submitted to a symmetric and periodic triple-well potential (Fig 1). The kinetics description is done with a Fokker-Planck equation (F.P.E). The F.P.E is resolved numerically using the Matrix Continued Fraction Method (M.C.F.M).In order to calculate some important correlation functions. The half-with of the quasi-elastic line λ(q) of dynamic structure factor S (q,w) is studied in the high friction regime and low temperature for different structure of potential with a fixed barrier potential The result show that the half with λ(q) present the same aspect for different values of the ratio of two potential barriers Δ (Δ=V₁/V₂), except for Δ≈1 for which λ(q) is a cosine function.