Abstract
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.
| Original language | English |
|---|---|
| Article number | 051122 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 78 |
| Issue number | 5 |
| DOIs | |
| State | Published - 24 Nov 2008 |
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Thermally activated switching in the presence of non-Gaussian noise. / Billings, Lora; Dykman, Mark I.; Schwartz, Ira B.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 78, No. 5, 051122, 24.11.2008.Research output: Contribution to journal › Article
TY - JOUR
T1 - Thermally activated switching in the presence of non-Gaussian noise
AU - Billings, Lora
AU - Dykman, Mark I.
AU - Schwartz, Ira B.
PY - 2008/11/24
Y1 - 2008/11/24
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=57349147129&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.78.051122
DO - 10.1103/PhysRevE.78.051122
M3 - Article
AN - SCOPUS:57349147129
VL - 78
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 5
M1 - 051122
ER -