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The relativistic viscous hydrodynamic description of the quark-gluon plasma by M\"uller-Israel-Stewart formulations has been very successful, but despite this success, these theories present limitations regarding well-posedness and…

High Energy Physics - Phenomenology · Physics 2025-03-06 Yago Bea

In this paper we provide a new technique to find solutions to the Klein-Gordon-Maxwell system. The method, based on an iterative argument, permits to improve previous results where the reduction method was used. We also show how this device…

Analysis of PDEs · Mathematics 2014-12-16 Antonio Azzollini

The stability of current sheets in collisionless relativistic pair plasma was studied via two-dimensional two-fluid relativistic magnetohydrodynamic simulations with vanishing internal friction between fluids. In particular, we investigated…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Maxim V. Barkov , Serguei S. Komissarov

Astrophysical plasmas in the surrounding of compact objects and subject to intense gravitational and electromagnetic fields are believed to give rise to relativistic regimes. Theoretical and observational evidence suggest that magnetized…

Plasma Physics · Physics 2023-06-22 Claudio Cremaschini , Massimo Tessarotto , Zdeněk Stuchlík

We present a relativistic model describing a thin disk system composed of two fluids. The system is surrounded by a halo in the presence of a non-trivial electromagnetic field. We show that the model is compatible with the variational…

General Relativity and Quantum Cosmology · Physics 2015-11-12 A C Gutiérrez-Piñeres , C S Lopez-Monsalvo , H Quevedo

We present an extension of the Piecewise Parabolic Method to special relativistic fluid dynamics in multidimensions. The scheme is conservative, dimensionally unsplit, and suitable for a general equation of state. Temporal evolution is…

Astrophysics · Physics 2009-11-11 A. Mignone , T. Plewa , G. Bodo

The Klein-Gordon equation describes the wave-like behavior of spinless particles since it is Lorentz invariant. While it seemed initially ripe for explaining the electronic structure of the hydrogen atom, the lack of a unconditional…

Quantum Physics · Physics 2025-02-07 P. -A. Gourdain

Starting from the Maxwell-Juettner equilibrium distribution, we develop a relativistic lattice Boltzmann (LB) algorithm capable of handling ultrarelativistic systems with flat, but expanding, spacetimes. The algorithm is validated through…

Nuclear Theory · Physics 2013-05-29 P. Romatschke , M. Mendoza , S. Succi

A very intuitive description of nucleus-nucleus collision phenomena is provided by the relativistic fluid dynamics. We consider a 1+1 dimensional relativistic imperfect fluid flow to approximate the high energy heavy ion collision. The…

Nuclear Theory · Physics 2007-05-23 C Alexa , D Vrinceanu

Whether monochromatic, pulsed, or even constant and crossed, the field used to describe the interaction of charged fermions with an intense laser beam is mainly assumed to be of plane-wave form. We consider a simple extension to plane-wave…

High Energy Physics - Phenomenology · Physics 2016-12-19 B. King

A relativistic mean-field model of nuclear matter with arbitrary proton fraction is studied at finite temperature. An analysis is performed of the liquid-gas phase transition in a system with two conserved charges (baryon number and…

Nuclear Theory · Physics 2008-11-26 Horst Mueller , Brian D. Serot

Two fundamental models in plasma physics are given by the Vlasov-Maxwell-Boltzmann system and the compressible Euler-Maxwell system which both capture the complex dynamics of plasmas under the self-consistent electromagnetic interactions at…

Analysis of PDEs · Mathematics 2023-06-02 Renjun Duan , Dongcheng Yang , Hongjun Yu

A numerical fluid simulation investigation of the temporal evolution of a special class of traveling wave solution of the one dimensional relativistic cold plasma model is reported.The solutions consist of coupled electromagnetic and plasma…

Plasma Physics · Physics 2009-11-11 Vikrant Saxena , Amita Das , Abhijit Sen , Predhiman Kaw

When the quark-gluon plasma (QGP) - a system of deconfined quarks and gluons - is in a nonequilibrium state, it is usually unstable with respect to color collective modes. The instabilities, which are expected to strongly influence dynamics…

High Energy Physics - Phenomenology · Physics 2017-06-07 Stanislaw Mrowczynski , Bjoern Schenke , Michael Strickland

The probablity current for a quantum spinless relativistic particle is introduced based on the Hamiltonian dynamics approach utilizing the Salpeter equation as an alternative of the Klein-Gordon equation. The correctness of the presented…

Mathematical Physics · Physics 2015-05-30 K. Kowalski , J. Rembielinski

The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated ``geometric'' and ``hidden'' symmetries are explained. The theory is…

High Energy Physics - Theory · Physics 2011-07-05 M. Hassaïne , P. A. Horváthy , J. -C. Yera

We study a complex Ginzburg-Landau (GL) type model related to fluid instabilities in the boundary of magnetized toroidal plasmas (called edge-localized modes) with a prescribed shear flow on the Neumann boundary condition. We obtain the…

Plasma Physics · Physics 2017-06-27 Youngmin Oh , Gunsu S. Yun , Hyung Ju Hwang

A numerical analysis of the self-interaction induced by a relativistic electron/positron beam in the presence of an intense external longitudinal magnetic field in plasmas is carried out. Within the context of the Plasma Wake Field theory…

Plasma Physics · Physics 2011-08-05 Fatema Tanjia , Sergio De Nicola , Renato Fedele , P. K. Shukla , Dusan Jovanovic

In this paper we show how a two dimensional fluid model can be used to interpret data obtained from an inclined Mach-probe or a Gundestrup probe. We use an analytical approximation of the solution of the differential equations describing…

Plasma Physics · Physics 2009-11-10 Peter Peleman , Stefan Jachmich , Michael Van Schoor , Guido Van Oost

The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels…

Quantum Physics · Physics 2015-06-17 Mohsen Emami-Razavi , Nantel Bergeron , Jurij W. Darewych
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