SURVIVAL PROBABILITY AND TIME IN METASTABLE WELL DRIVEN BY COLORED NOISE

Inverse Kramers problem driven by Ornstein-Uhlenbeck(OU) colored noise was built, where Particle located outside of metastable well initially entered into well due to OU noise and then escaped from well Under influence of left reflect boundary. After comparing pass probability ininverse harmonic potential with Survival probability in metastabel well, it was found that particle survival probability tended to be zero in the Long time limit and its maximum value was smaller than stable value of pass probability.Making use of the Monte Carlomethod. With parameters such as particle initial velocity and noise correlation time, it was found that "bestinitial Velocity "and" "best correlation time" making survival time were the longest