Chaos-induced dynamical hysteresis: Energetic and entropic barriers

Abstract

We consider periodically driven dynamical systems with energetic and entropic barriers in the presence of deterministic noise. Due to the relaxational delay, the response of the system lags behind the applied field and exhibits dynamical hysteresis manifested in the nonvanishing area of the response-function--field loop. It is demonstrated that the hysteresis loop area satisfies a scaling law with exponents that depend on the nature of the barrier.