Diffusion of particles in a slowly modulated wave

DOI10.1016/0167-2789(89)90067-5zbMath0713.70011OpenAlexW1971364622MaRDI QIDQ750182

John R. Cary, David L. Bruhwiler

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90067-5

zbMATH Keywords

adiabatic invariantseparatrix crossingParticle motionlowest-order diffusion coefficientslowly modulated wavetrapping/detrapping regime

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (12)

Diffusion by amplitude modulation in Hamiltonian systems ⋮ Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems ⋮ Diffusion on the torus for Hamiltonian maps ⋮ Diffusion of trajectories in a simple Hamiltonian system with slow periodic forcing ⋮ Onset of secular chaos in planetary systems: period doubling and strange attractors ⋮ A geometric criterion for adiabatic chaos ⋮ Slow crossing of a stochastic layer ⋮ Probability phenomena due to separatrix crossing ⋮ The width of a chaotic layer ⋮ Stable periodic motions in the problem on passage through a separatrix ⋮ Chaotic Di?usion of Asteroids ⋮ On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems

Cites Work

• Adiabatic invariance to all orders
• Effect of noise on the standard mapping
• Regular and stochastic motion
• Damping of an electron plasma wave with detrapping of the electrons
• Capture into resonance: An extension of the use of adiabatic invariants
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
• Stochastic Problems in Physics and Astronomy
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