A study on the action of non-Gaussian noise on a Brownian particle

We analytically address the non-equilibrium problem of a Brownian particle in contact with a thermal reservoir by means of a non-Gaussian Langevin noise term η ( t ) . The presence of noise kurtosis is akin to a second temperature reservoir acting on the system, and we exploit its consequences by means of studying a converging exact form for the stationary probability distribution.