Nonlinear noninertial response of a brownian particle in a tilted periodic potential to a strong ac force
The solution of the Langevin equation describing the dynamics of a Brownian particle in a tilted periodic potential in the overdamped limit is obtained in terms of a matrix continued fraction, allowing us to evaluate statistical averages governing the nonlinear response to a strong ac force. Pronounced nonlinear effects are observed for large values of the ac force. For a weak ac force and low noise strength, the results obtained agree closely with previously available linear response and noiseless solutions, respectively.
Coffey
WT
Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland.
Dejardin
JL
Kalmykov
YP