Criteria for the breakdown of linear response in bistable systems
Technische Universität München, Physik Department - 85748 Garching, Germany, EU
2 Freie Universität Berlin, Fachbereich Physik - 14195 Berlin, Germany, EU
Accepted: 7 March 2012
A particle in a double-well potential is the simplest dynamic system exhibiting non-linear behavior and stochastic resonance. Using Brownian dynamics simulations, we determine non-linear–response functions and quantify the breakdown of linear-response theory in terms of the threshold force amplitude. Based on a factorization approximation for higher-order non-linear–response functions, this threshold force amplitude is self-consistently related to the linear-response function itself.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 02.50.-r – Probability theory, stochastic processes, and statistics
© EPLA, 2012