Escape from a potential well, stochastic resonance and zero frequency component of the noiseF. Pétrélis1, S. Aumaître1, 2 and K. Mallick3
1 Laboratoire de Physique Statistique, Ecole Normale Supérieure - 24 rue Lhomond, 75005 Paris, France
2 DSM/DRECAM/SPEC, Orme des Merisiers, CEA-Saclay - 91191 Gif-sur-Yvette, France
3 SPhT, Orme des Merisiers, CEA-Saclay - 91191 Gif-sur-Yvette, France
received 9 April 2007; accepted in final form 4 July 2007; published August 2007
published online 27 July 2007
For an overdamped particle evolving in a potential and submitted to colored noise, we study numerically the problems of first passage time at the top of the potential and of stochastic resonance. In the limit where the correlation time of the noise is small compared to the other characteristic times of the problem we show that properties of the solution related to long time behavior are controlled by the zero-frequency component of the noise.
05.40.-a - Fluctuation phenomena, random processes, noise and Brownian motion.
05.45.-a - Nonlinear dynamics and chaos.
© Europhysics Letters Association 2007