title: Nonlinear noninertial response of a brownian particle in a tilted periodic potential to a strong ac force
abstract: 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.
authors.affiliation: Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland.
authors.initials: WT
authors.lastname: Coffey
authors.initials: JL
authors.lastname: Dejardin
authors.initials: YP
authors.lastname: Kalmykov