We study the effect of a non-Gaussian noise on interstate switching activated primarily by Gaussian noise. Even weak non-Gaussian noise can strongly change the switching rate. The effect is determined by all moments of the noise distribution. It is expressed in a closed form in terms of the noise characteristic functional. The analytical results are compared with the results of simulations for an overdamped system driven by white Gaussian noise and a Poisson noise. Switching induced by a purely Poisson noise is also discussed.
MSU Digital Commons Citation
Billings, Lora; Dykman, Mark; and Schwartz, Ira, "Thermally activated switching in the presence of non-Gaussian noise" (2008). Department of Mathematical Sciences Faculty Scholarship and Creative Works. 13.
Billings, L., Dykman, M. I., & Schwartz, I. B. (2008). Thermally activated switching in the presence of non-Gaussian noise. Phys Rev E Stat Nonlin Soft Matter Phys, 78(5 Pt 1), 051122. doi:10.1103/PhysRevE.78.051122