Path integrals in Hamiltonian systems: Breakup of the last Kolmogorov-Arnold-Moser torus due to random forces

Journal Article · Mon Jan 23 00:00:00 EST 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.353· OSTI ID:6386600

Gyoergyi, G; Tishby, N

Transport in three-dimensional nonintegrable Hamiltonian flows is studied and the destruction of Kolmogorov-Arnold-Moser barriers in the presence of stochastic perturbations described. We extend the action principle to Hamiltonians with small noise, which provides a framework to determine universal scaling of characteristic times as a function of the noise.

• Research Organization: Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey 07030
• OSTI ID: 6386600
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 62:4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
TRANSPORT THEORY
FEYNMAN PATH INTEGRAL
HAMILTONIANS
KOLMOGOROV EQUATION
PERTURBATION THEORY
PHASE SPACE
RENORMALIZATION
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRALS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM OPERATORS
SPACE
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics