منابع مشابه
A Vlasov description of the Euler equation
A form of the Euler equation using an impulse formulation is presented. This form is based on a representation of the divergence-free projection operator in terms of a continuous distribution of vortex dipoles which have a finite self-induced velocity. A generalization of the Euler equation is presented as a kinetic equation similar to the Vlasov–Poisson equation. An interesting feature of this...
متن کاملThe McKean –Vlasov Equation in Finite Volume
We study the McKean–Vlasov equation on the finite tori of length scale L in d–dimensions. We (re)derive the necessary and sufficient conditions for the existence of a phase transition – first uncovered in [13] and [20]. Therein and in subsequent works, one finds indications pointing to critical transitions at a particular model dependent value, θ of the interaction parameter. We show (there is ...
متن کاملNumerical convergence in solving the Vlasov equation.
When the Vlasov equation is investigated numerically using the method of test particles, the two-body interactions that inevitably arise in the simulation (but are not present in the Vlasov equation itself) drive the collection of test particles toward a state of classical thermal equilibrium. We estimate the relaxation time associated with this thermalization. The Vlasov equation plays a centr...
متن کاملAction principles for the Vlasov equation
Five action principles for the Vlasov-Poisson and Vlasov-Maxwell equations, which differ by the variables incorporated to describe the distribution of particles in phase space, are presented. Three action principles previously known for the Vlasov-Maxwell equations are altered so as to produce the Vlasov-Poisson equation upon variation with respect to only the particle variables, and one action...
متن کاملConservative Numerical Schemesfor the Vlasov Equation
Conservative Numerical Schemes for the Vlasov Equation Francis Filbet,∗ Eric Sonnendrücker,† and Pierre Bertrand‡ ∗IECN–INRIA Project Numath, Université de Nancy I, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France; †IRMA, Université Louis Pasteur, 7 Rue R Descartes, 67084 Strasbourg, France; and ‡LPMI, Université de Nancy I, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France E-mail: [email protected]...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 1989
ISSN: 0378-4371
DOI: 10.1016/0378-4371(89)90452-4