TITLE

Vlasov equation and collisionless hydrodynamics adapted to curved spacetime

AUTHOR(S)
Dodin, I. Y.; Fisch, N. J.
PUB. DATE
November 2010
SOURCE
Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p112118
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The modification of the Vlasov equation, in its standard form describing a charged particle distribution in the six-dimensional phase space, is derived explicitly within a formal Hamiltonian approach for arbitrarily curved spacetime. The equation accounts simultaneously for the Lorentz force and the effects of general relativity, with the latter appearing as the gravity force and an additional force due to the extrinsic curvature of spatial hypersurfaces. For an arbitrary spatial metric, the equations of collisionless hydrodynamics are also obtained in the usual three-vector form.
ACCESSION #
55509413

 

Related Articles

  • Integración Simpléctica: Revisión y Aplicaciones. Vera, Carlos A.; Rodríguez, Boris A. // Revista Colombiana de Física;2009, Vol. 41 Issue 2, p432 

    General purpose numerical integrators used for the solution of differential equations arising from a Hamiltonian dynamics leads errors such as the non-conservation integrals of motion and the emergence of numerical instabilities in the system propagation, making it moves along non-physical...

  • Evolution of Observables in Hydrodynamic and Kinetic Models of A+A Collisions. Sinyukov, Yu. M. // AIP Conference Proceedings;2006, Vol. 828 Issue 1, p445 

    Time evolution of the momentum spectra, Bose-Einstein correlation functions and averaged phase-space densities (APSD) is analyzed within hydrodynamic and kinetic models. The results shed light on behavior of the interferometry volumes and APSD in A+A collisions at different energies and for...

  • AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type. Guha, Partha // Journal of Mathematical Physics;Jul2004, Vol. 45 Issue 7, p2864 

    A bi-Hamiltonian system is a system of differential equations which can be written in Hamiltonian form in two distinct ways. The applications of Gelfand–Zakharevich bi-Hamiltonian structure, which is an extension of a Poisson–Nijenhuis structure on phase space, has been extensively...

  • A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space. Luo, Shao-Kai; Li, Zhuang-Jun; Li, Lin // Acta Mechanica;Dec2012, Vol. 223 Issue 12, p2621 

    For a dynamical system in phase space, a new Lie symmetrical method to find a conserved quantity is presented in a general infinitesimal transformation of Lie groups. Based on the invariance of the differential equations of motion for the system under a general infinitesimal transformation of...

  • Global structure of regular tori in a generic 4D symplectic map. Lange, S.; Richter, M.; Onken, F.; Bäcker, A.; Ketzmerick, R. // Chaos;Jun2014, Vol. 24 Issue 2, p1 

    For the case of generic 4D symplectic maps with a mixed phase space, we investigate the global organization of regular tori. For this, we compute elliptic 1-tori of two coupled standard maps and display them in a 3D phase-space slice. This visualizes how all regular 2-tori are organized around a...

  • The Hamiltonian of Einstein affine-metric formulation of General Relativity. Kiriushcheva, N.; Kuzmin, S. // European Physical Journal C -- Particles & Fields;Dec2010, Vol. 70 Issue 1/2, p389 

    It is shown that the Hamiltonian of the Einstein affine-metric (first-order) formulation of General Relativity (GR) leads to a constraint structure that allows the restoration of its unique gauge invariance, four-diffeomorphism, without the need of any field dependent redefinition of gauge...

  • A KAM Theorem for Hamiltonian Partial Differential Equations with Unbounded Perturbations. Liu, Jianjun; Yuan, Xiaoping // Communications in Mathematical Physics;Nov2011, Vol. 307 Issue 3, p629 

    We establish an abstract infinite dimensional KAM theorem dealing with unbounded perturbation vector-field, which could be applied to a large class of Hamiltonian PDEs containing the derivative ∂ in the perturbation. Especially, in this range of application lie a class of derivative...

  • Regions of applicability of Aubry-Mather Theory for non-convex Hamiltonian. Zhou, Min; Zhong, Binggui // Chinese Annals of Mathematics;Jul2011, Vol. 32 Issue 4, p605 

    Herman constructed an autonomous system of two degrees of freedom which says that in non-convex situations, oscillations do happen and Aubry-Mather Theory cannot apply (see the results due to W. F. Chen in 1992). In this paper, it is shown that although the orbits could visit a region far away...

  • Dynamics of Cr(CO)[sub 6][sup +] collisions with hydrogenated surfaces. Song, Kihyung; Meroueh, Oussama; Hase, William L. // Journal of Chemical Physics;2/8/2003, Vol. 118 Issue 6, p2893 

    Classical trajectory simulations are used to study the activation of Cr(CO)[sup +, sub 6] ions by 5-110 eV collisions with n-hexyl thiolate self-assembled monolayer (SAM) and the H-terminated diamond {111} surfaces. The transfer of the ion's initial translational energy E[sub i] to the ion's...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics