Statistical mechanics of colliding beams

DOI10.1016/0003-4916(85)90368-9zbMath0556.73065OpenAlexW2057284394MaRDI QIDQ761103

Jonathan F. Schonfeld

Publication date: 1985

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(85)90368-9

zbMATH Keywords

Fokker-Planck equationnonlinear resonancetwo-time analysisapproximately equal probability densityelectron-positron colliding- beam storage ringsfixed canonical actionsKramers' analysis of noise-induced barrier crossinglong-time effectsPhase space submanifoldsstatistical mechanics in an external environmentthermal averaging

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Collision of rigid or pseudo-rigid bodies (70F35) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (5)

Phase convection and distribution ``tails in periodically driven Brownian motion ⋮ Diffusive transport enhancement and escape processes in frictionless nonlinear oscillators with noise ⋮ A semiclassical theory of underdamped nonlinear Brownian processes ⋮ Electron storage ring distributions near linear resonance ⋮ Resonant response of a thermalized ensemble of nonlinear oscillators

Cites Work

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• A semiclassical theory of underdamped nonlinear Brownian processes
• Electron storage ring distributions near linear resonance
• Brownian motion in a field of force and the diffusion model of chemical reactions

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