Scaling in activated escape of underdamped systems

被引：25

作者：

Dykman, MI ^{[1
]}

Schwartz, IB

Shapiro, M

机构：

[1] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

[2] USN, Res Lab, Div Plasma Phys, Washington, DC 20375 USA

[3] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

PHYSICAL REVIEW E | 2005年 / 72卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.72.021102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the distance to the bifurcation point. We find two types of scaling and the corresponding critical exponents.

引用

页数：8

共 25 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]

Arnold V. I., 1992, Ordinary Differential Equations

[3] Temperature dependence of a nanomechanical switch [J].

Badzey, RL ;

Zolfagharkhani, G ;

Gaidarzhy, A ;

Mohanty, P .

APPLIED PHYSICS LETTERS, 2005, 86 (02) :023106-1

[4]

Billings L, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.026220

[5] Thermally activated relaxation time of a single domain ferromagnetic particle subjected to a uniform field at an oblique angle to the easy axis: Comparison with experimental observations [J].

Coffey, WT ;

Crothers, DSF ;

Dormann, JL ;

Kalmykov, YP ;

Kennedy, EC ;

Wernsdorfer, W .

PHYSICAL REVIEW LETTERS, 1998, 80 (25) :5655-5658

[6] 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

[7]

DMITRIEV AP, 1986, ZH EKSP TEOR FIZ+, V90, P1430

[8] 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

[9]

DYKMAN MI, 1979, ZH EKSP TEOR FIZ+, V77, P60

[10] LARGE FLUCTUATIONS AND OPTIMAL PATHS IN CHEMICAL-KINETICS [J].

DYKMAN, MI ;

MORI, E ;

ROSS, J ;

HUNT, PM .

JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (08) :5735-5750

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