Abstract
We consider the dynamics of the particle influences by driving force, Gaussian and Poisson noises, which is a modification of the model by Friedman et al (2006 Phys. Rev. Lett. 97 168302). We study the relative integro-differential Fokker–Planck equation (IDFPE) for the probability density distribution and obtain the exact steady state solution of the IDFPE, which is consistent with both analytical and numerical solutions of the IDFPE in the limit of large time t. As in the case of zero Gaussian noise, there is a threshold value of the level of Poissonian noise, related to the intensity of the driving force: below the threshold the maximum of distribution is at the origin; nevertheless, even weak Gaussian noise prevents the formation of a singularity at the maximum point. Above the threshold value, the Gaussian noise cannot shift the maximum to the origin, but makes it less pronounced.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
