PASSAGE TIMES FOR THE DECAY OF A TIME-DEPENDENT UNSTABLE STATE

被引：7

作者：

CACERES, MO

BECKER, A

机构：

[1] Theoretische Physik, Physikalisches Institut, Universität Bayreuth

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.42.696

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the decay of an unstable state when the control parameter is sweeping as a(t)=-a0+bt. We introduce an approximation for the cumulative distribution. This allows, in the limit of small noise, the calculation of the first-passage-time distribution and the moment generating function analytically. The transient moments and anomalous fluctuation for the full nonlinear process are calculated using stochastic instantonlike trajectories centered on the first-passage time. © 1990 The American Physical Society.

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页码：696 / 702

页数：7

相关论文

共 19 条

[1] THE AMPLITUDE EQUATION NEAR THE CONVECTIVE THRESHOLD - APPLICATION TO TIME-DEPENDENT HEATING EXPERIMENTS [J].

AHLERS, G ;

CROSS, MC ;

HOHENBERG, PC ;

SAFRAN, S .

JOURNAL OF FLUID MECHANICS, 1981, 110 (SEP) :297-334

[2]

[Anonymous], 1984, SPRINGER SERIES SYNE

[3] ON FLUCTUATIONS AND RELAXATION IN SYSTEMS DESCRIBED BY A ONE-DIMENSIONAL FOKKER-PLANCK EQUATION WITH A TIME-DEPENDENT POTENTIAL [J].

CAROLI, B ;

CAROLI, C ;

ROULET, B ;

STJAMES, D .

PHYSICA A, 1981, 108 (01) :233-256

[4] THEORY FOR RELAXATION AT A SUBCRITICAL PITCHFORK BIFURCATION [J].

COLET, P ;

DEPASQUALE, F ;

CACERES, MO ;

SANMIGUEL, M .

PHYSICAL REVIEW A, 1990, 41 (04) :1901-1911

[5] STABILITY OF TIME-PERIODIC FLOWS [J].

DAVIS, SH .

ANNUAL REVIEW OF FLUID MECHANICS, 1976, 8 :57-74

[6] NEW EXPANSION TECHNIQUE FOR THE DECAY OF AN UNSTABLE STATE [J].

DEPASQUALE, F ;

TARTAGLIA, P ;

TOMBESI, P .

PHYSICAL REVIEW A, 1982, 25 (01) :466-471

[7] DECAY OF UNSTABLE STATES [J].

HAAKE, F .

PHYSICAL REVIEW LETTERS, 1978, 41 (25) :1685-1688

[8] THE 1ST, THE BIGGEST, AND OTHER SUCH CONSIDERATIONS [J].

LINDENBERG, K ;

WEST, BJ .

JOURNAL OF STATISTICAL PHYSICS, 1986, 42 (1-2) :201-243

[9]

MANDEL P, 1989, INSTABILITIES CHAOS, V2

[10] INITIAL-STAGES OF PATTERN-FORMATION IN RAYLEIGH-BENARD CONVECTION [J].

MEYER, CW ;

AHLERS, G ;

CANNELL, DS .

PHYSICAL REVIEW LETTERS, 1987, 59 (14) :1577-1580