Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise

被引:17
作者
Billings, Lora [1 ]
Schwartz, Ira B. [2 ]
McCrary, Marie [1 ]
Korotkov, A. N. [3 ]
Dykman, M. I. [4 ]
机构
[1] Montclair State Univ, Dept Math Sci, Montclair, NJ 07043 USA
[2] USN, Res Lab, Nonlinear Syst Dynam Sect, Div Plasma Phys, Washington, DC 20375 USA
[3] Univ Calif Riverside, Dept Elect Engn, Riverside, CA 92521 USA
[4] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
ZERO-VOLTAGE STATE; THERMAL-ACTIVATION; JOSEPHSON-JUNCTION; FLUCTUATIONS; DEPENDENCE; SYSTEMS; ESCAPE; FIELD; MODEL;
D O I
10.1103/PhysRevLett.104.140601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a non-power-law dependence on the distance to the bifurcation point. This dependence is found for Poisson noise. Even weak additional Gaussian noise dominates switching sufficiently close to the bifurcation point, leading to a crossover in the behavior of the switching exponent.
引用
收藏
页数:4
相关论文
共 33 条
[1]   Noise-enabled precision measurements of a duffing nanomechanical resonator [J].
Aldridge, JS ;
Cleland, AN .
PHYSICAL REVIEW LETTERS, 2005, 94 (15) :1-4
[2]   Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations [J].
Ankerhold, Joachim .
PHYSICAL REVIEW LETTERS, 2007, 98 (03)
[3]   Thermally activated switching in the presence of non-Gaussian noise [J].
Billings, Lora ;
Dykman, Mark I. ;
Schwartz, Ira B. .
PHYSICAL REVIEW E, 2008, 78 (05)
[4]   RESONANT ACTIVATION OF A BROWNIAN PARTICLE OUT OF A POTENTIAL WELL - MICROWAVE-ENHANCED ESCAPE FROM THE ZERO-VOLTAGE STATE OF A JOSEPHSON JUNCTION [J].
DEVORET, MH ;
ESTEVE, D ;
MARTINIS, JM ;
CLELAND, A ;
CLARKE, J .
PHYSICAL REVIEW B, 1987, 36 (01) :58-73
[5]   LARGE FLUCTUATIONS AND FLUCTUATIONAL TRANSITIONS IN SYSTEMS DRIVEN BY COLORED GAUSSIAN-NOISE - A HIGH-FREQUENCY NOISE [J].
DYKMAN, MI .
PHYSICAL REVIEW A, 1990, 42 (04) :2020-2029
[6]   FLUCTUATIONS IN NON-LINEAR SYSTEMS NEAR BIFURCATIONS CORRESPONDING TO THE APPEARANCE OF NEW STABLE STATES [J].
DYKMAN, MI ;
KRIVOGLAZ, MA .
PHYSICA A, 1980, 104 (03) :480-494
[7]  
DYKMAN MI, ARXIV10013616
[8]  
Feynman R. P., 2010, Quantum Mechanics and Path Integrals, DOI 10.1063/1.3048320
[9]   Effective Markovian approximation for non-Gaussian noises: a path integral approach [J].
Fuentes, MA ;
Wio, HS ;
Toral, R .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 303 (1-2) :91-104
[10]   LIFETIME OF ZERO-VOLTAGE STATE IN JOSEPHSON TUNNEL-JUNCTIONS [J].
FULTON, TA ;
DUNKLEBERGER, LN .
PHYSICAL REVIEW B, 1974, 9 (11) :4760-4768