Mini-course: Classical mechanics and transport

DOI10.1063/5.0153118zbMath1520.37004OpenAlexW4386226383MaRDI QIDQ6138694

Andreas Knauf

Publication date: 5 September 2023

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

Full work available at URL: https://doi.org/10.1063/5.0153118

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Nearly integrable Hamiltonian systems, KAM theory (70H08) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Dynamical systems, topology, and conductivity in normal metals
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Quantum transport on KAM tori
• Ergodic and topological properties of coulombic periodic potentials
• Limit theorems for locally perturbed planar Lorentz processes
• Potentials on the two-torus for which the Hamiltonian flow is ergodic
• Integrability of hamiltonian systems on cantor sets
• Closed orbits and converse KAM theory
• Motion in periodic potentials
• The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron
• Recurrence for quenched random Lorentz tubes
• Mathematical Physics: Classical Mechanics
• The KAM Story
• Classical motion in random potentials

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