Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times
Journal Article
·
· Journal of Statistical Physics; (USA)
- Universita La Sapienza, Rome (Italy)
The authors apply previous results on the pathwise exponential loss of memory of the initial condition for stochastic differential equations with small diffusion to the problem of the asymptotic distribution of the first exit times from an attracted domain. They show under general hypotheses that the suitably rescaled exit time converges in the zero-noise limit to an exponential random variable. Then they extend the results to an infinite-dimensional case obtained by adding a small random perturbation to a nonlinear heat equation.
- OSTI ID:
- 5394601
- Journal Information:
- Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 55:3-4; ISSN 0022-4715; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BROWNIAN MOVEMENT
CONVERGENCE
CRYSTAL MODELS
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FERROMAGNETIC MATERIALS
FLUCTUATIONS
FUNCTIONS
GAUSS FUNCTION
HARMONIC OSCILLATOR MODELS
HEAT TRANSFER
MAGNETIC MATERIALS
MANY-DIMENSIONAL CALCULATIONS
MARKOV PROCESS
MATERIALS
MATHEMATICAL MODELS
MECHANICS
NOISE
NONLINEAR PROBLEMS
PERTURBATION THEORY
RANDOMNESS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TIME DEPENDENCE
TRANSPORT THEORY
TUNNEL EFFECT
VARIATIONS
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BROWNIAN MOVEMENT
CONVERGENCE
CRYSTAL MODELS
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FERROMAGNETIC MATERIALS
FLUCTUATIONS
FUNCTIONS
GAUSS FUNCTION
HARMONIC OSCILLATOR MODELS
HEAT TRANSFER
MAGNETIC MATERIALS
MANY-DIMENSIONAL CALCULATIONS
MARKOV PROCESS
MATERIALS
MATHEMATICAL MODELS
MECHANICS
NOISE
NONLINEAR PROBLEMS
PERTURBATION THEORY
RANDOMNESS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TIME DEPENDENCE
TRANSPORT THEORY
TUNNEL EFFECT
VARIATIONS