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We study the relativistic quantum dynamics of spin-0 particles in the spacetime of a spinning cosmic string that carries both spacelike disclination (conical deficit $\alpha$) and screw dislocation (torsion $J_z$), as well as frame dragging…

High Energy Physics - Theory · Physics 2025-10-01 Sarra Garah , Abdelmalek Boumali

On the basis of an algebraic relation between torsion and a classical spinor field a new interpretation of Einstein-Cartan gravity interacting with classical spinor field is proposed. In this approach the spinor field becomes an auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev , D. Singleton

We analyze the continuous time evolution of a $d$-dimensional system of $N$ self propelled particles with a kinematic constraint on the velocities inspired by the original Vicsek's one \cite{VCB-JCS}. Interactions among particles are…

Mathematical Physics · Physics 2014-07-29 Michele Gianfelice , Enza Orlandi

We study the dynamics of a particle in continuous time and space, the displacement of which is governed by an internal degree of freedom (spin). In one definite limit, the so-called quantum random walk is recovered but, although quite…

Quantum Physics · Physics 2009-11-10 Claude Aslangul

The hydrodynamic conservation equations and constitutive relations for a binary granular mixture composed of smooth, nearly elastic, hard spheres with non-equipartition energies and different mean velocities are derived. This research is…

Soft Condensed Matter · Physics 2018-02-28 Yanpei Chen , Yifeng Mei , Wei Wang

The main purpose of this article is to guide the reader to theorems on global properties of solutions to the Einstein-Vlasov system. This system couples Einstein's equations to a kinetic matter model. Kinetic theory has been an important…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Hakan Andreasson

This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when epsilon^2, the dimensionless cyclotron period, tends to…

Mathematical Physics · Physics 2009-05-15 Pierre Degond , Sever Hirstoaga , Marie-Hélène Vignal

We study the dynamics of a collisionless kinetic gas in the most general static, spherically symmetric dispersion relation. For a static, spherically symmetric kinetic gas, we derive the most general solution to these dynamics, and find…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Manuel Hohmann

We present a dynamical framework for modeling the motion of point-like charged particles, with or without mass, in general external electromagnetic fields. A key feature of this formulation is the treatment of time coordinate as a dynamical…

Classical Physics · Physics 2026-01-07 Zui Oporto , Gonzalo Marcelo Ramírez-Ávila

In this paper we consider a Vlasov or collisionless Boltzmann equation describing the dynamics of planetary rings. We propose a simple physical model, where the particles of the rings move under the gravitational Newtonian potential of two…

Earth and Planetary Astrophysics · Physics 2013-12-03 Armando Majorana

The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein-Vlasov system. This system couples Einstein's equations to a kinetic matter model. Kinetic theory has been an important…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Hakan Andreasson

Unimodular gravity is an interesting approach to address the cosmological constant problem, since the vacuum energy density of quantum fields does not gravitate in this framework, and the cosmological constant appears as an integration…

General Relativity and Quantum Cosmology · Physics 2018-04-11 Yuri Bonder , Cristobal Corral

We study the motion of neutral and charged spinning bodies in curved space-time in the test-particle limit. We construct equations of motion using a closed covariant Poisson-Dirac bracket formulation which allows for different choices of…

General Relativity and Quantum Cosmology · Physics 2016-11-07 G. d'Ambrosi , S. Satish Kumar , J. van de Vis , J. W. van Holten

The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments. As a first step, these moment equations generalize the…

Adaptation and Self-Organizing Systems · Physics 2008-04-24 Cesare Tronci

Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations.…

Statistical Mechanics · Physics 2009-10-31 A. J. Masters , P. B. Warren

We derive and discus the equations of motion for spinless matter: relativistic spinless scalar fields, particles and fluids in the recently proposed by A. Saa model of gravity with covariantly constant volume with respect to the transposed…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. P. Fiziev

We consider the consistent deformation of the relativistic quantum mechanics introducing the noncommutativity of the space-time and preserving the Lorentz symmetry. The relativistic wave equation describing the spinning particle on…

High Energy Physics - Theory · Physics 2014-04-21 V. G. Kupriyanov

Plasma physics give an example of physical system of particles with the long range interaction. At small velocity of particles we can consider the plasma approximately as a system of particles with the Coulomb interaction. The Coulomb…

Plasma Physics · Physics 2015-04-10 P. A. Andreev

We consider the motion of spinning test particles with nonzero rest mass in the "pole-dipole" approximation, as described by the Mathisson-Papapetrou-Dixon (MPD) equations, and examine its properties in dependence on the spin supplementary…

General Relativity and Quantum Cosmology · Physics 2015-09-25 O. Semerák , M. Šrámek

We analyze the dynamics of particles in two dimensions with constant speed and a stochastic switching angle dynamics defined by a correlated dichotomous Markov process (telegraph noise) plus Gaussian white noise. We study various cases of…

Statistical Mechanics · Physics 2012-05-16 Christian Weber , Igor M. Sokolov , Lutz Schimansky-Geier
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