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Self-regularization of Hamiltonian systems
Michal Pavelka
joint work with
Václav Klika
H. C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley 2005Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter 2018
H. C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley 2005Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter 2018
V.I. Arnold. Sur la géometrie différentielle des groupes de Lie de dimension infini et ses applications dans l’hydrodynamique des fluides parfaits. Annales de l’institut Fourier,16(1):319–361, 1966.Annals of PhysicsVolume 125, Issue 1, March 1980, Pages 67-97Annals of PhysicsPoisson brackets in condensed matter physicsAuthor links open overlay panelI.E.DzyaloshinskiiG.E.Volovick
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Hamiltonian evolution for angular momentum in the body frame
Numerical solution
reversible, conservative, Explicit Euler
irreversible, dissipative, Crank-Nicolson
No self-regularization, explicit Euler
Reversible self-regularization, explicit Euler
Dissipative self-regularization, Crank-Nicolson
Other applications
Fluid mechanics
Kinetic theory
Pavelka and Klika, Self-regularization of Hamiltonian systems, submitted to Physica D
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