Relaxation of an unstable system driven by a colored noise

Journal Article · Sun Feb 01 04:00:00 EST 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01013383· OSTI ID:6194589

Dhara, A K; Menon, S V.G.

The scaling solution of an unstable system driven by a Ornstein-Uhlenbeck noise is derived from the two-variable Fokker-Planck equation. A quasiprobability distribution for the joint process (system parameter and noise) is then introduced and the system-size expansion is shown to yield a description of the relaxation process in the entire time domain.

• Research Organization: Bhabha Atomic Research Centre, Bombay, India
• OSTI ID: 6194589
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 46:3/4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELECTROMAGNETIC RADIATION
EQUATIONS
EQUILIBRIUM
FOKKER-PLANCK EQUATION
INSTABILITY
LASER RADIATION
MECHANICS
NOISE
NONLINEAR OPTICS
NONLINEAR PROBLEMS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
RELAXATION
RELAXATION TIME
SCALING LAWS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TIME DEPENDENCE