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?In this work, we study the orbital stability of stationary solutions to the relativistic Vlasov-Manev system. This system is a kinetic model describing the evolution of a stellar system subject to its own gravity with some relativistic…

Analysis of PDEs · Mathematics 2013-03-26 Cyril Rigault

In this paper, a delay Vlasov-Fokker-Planck equation associated to a stochastic interacting particle system with delay is investigated analytically. Under certain restrictions on the parameters well-posedness and ergodicity of the…

Analysis of PDEs · Mathematics 2017-10-06 Axel Klar , Lisa Kreusser , Oliver Tse

The spatially homogeneous Vlasov-Nordstr\"{o}m-Fokker-Planck system is known to exhibit nontrivial large time behavior, naturally leading to weak diffusion of the Fokker-Planck operator. This weak diffusion, combined with the singularity of…

Analysis of PDEs · Mathematics 2024-09-10 Shengchuang Chang , Shuangqian Liu , Tong Yang

We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment (HE), consisting of N non-interacting chaotic systems. The parameters are set so that when either…

Statistical Mechanics · Physics 2012-04-17 M. A. Marchiori , Ricardo Fariello , M. A. M. de Aguiar

A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these parameters, the model satisfies appropriate…

Mathematical Physics · Physics 2024-04-19 Evan Habbershaw , Cory D. Hauck , Jingwei Hu , Jeffrey R. Haack

In this paper, we study the set of stationary solutions of the Vlasov-Fokker-Planck (VFP) equation. This equation describes the time evolution of the probability distribution of a particle moving under the influence of a double-well…

Analysis of PDEs · Mathematics 2015-08-11 Manh Hong Duong , Julian Tugaut

Thermal instability in an electron-ion magnetized plasma, which is relevant in the intragalactic medium (IGM) of galaxy clusters, solar corona, and other two-component plasma objects is investigated. We apply the multicomponent plasma…

Astrophysics of Galaxies · Physics 2015-05-28 Anatoly K. Nekrasov

Based on the three parametric Lorenz system, a model was developed that permits to describe the behavior of the plasma-condensate system near phase equilibrium in a self-consistent way. Considering the effect of fluctuations of the growth…

Materials Science · Physics 2013-03-25 O. V. Yushchenko , T. I. Zhylenko

The exchange interaction is investigated theoretically for electrons confined to a 2-D sample placed in a linearly varying magnetic field perpendicular to the plane. Unusual and interesting behavior is predicted: starting from zero, as one…

Strongly Correlated Electrons · Physics 2020-12-30 Pervez Hoodbhoy

We consider a 1D-2V Vlasov-Fokker-Planck multi-species ionic description coupled to fluid electrons. We address temporal stiffness with implicit time stepping, suitably preconditioned. To address temperature disparity in time and space, we…

Plasma Physics · Physics 2018-05-09 William T. Taitano , Luis Chacon , Andrei N. Simakov

We study heterogeneities in a binary Lennard-Jones system below the glass transition using molecular dynamics simulations. We identify mobile and immobile particles and measure their distribution of vibrational amplitudes. For temperatures…

Disordered Systems and Neural Networks · Physics 2013-05-29 Katharina Vollmayr-Lee , Annette Zippelius

We consider a BEC of rigid rotor molecules confined to quasi-2d through harmonic trapping. The molecules are subjected to an external electric field which polarizes the gas, and the molecules interact via dipole-dipole interactions. We…

Quantum Gases · Physics 2023-06-07 Joseph C. Smith , Seth T. Rittenhouse , Ryan M. Wilson , Brandon M. Peden

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

We examine the low-lying collective quasiparticle modes of a quasi-one-dimensional mixture of Bose-Einstein condensates having dipolar and non-dipolar atomic species. The dipolar atomic species have permanent magnetic dipolar moments. We…

Quantum Gases · Physics 2025-12-09 Harsimranjit Kaur , Kuldeep Suthar

We explore a minimal paradigm for thermalization, consisting of two weakly-coupled, low dimensional, non-integrable subsystems. As demonstrated for Bose-Hubbard trimers, chaotic ergodicity results in a diffusive response of each subsystem,…

Statistical Mechanics · Physics 2013-02-01 Igor Tikhonenkov , Amichay Vardi , James R. Anglin , Doron Cohen

How thermal equilibrium is determined in a weakly collisional plasma is a fundamental question in plasma physics. This letter shows that the turbulence driven by the magnetic curvature and density gradient tends to equilibrate the…

Plasma Physics · Physics 2024-05-24 Ryusuke Numata

The dynamical evolution of a Brownian particle in an inhomogeneous medium with spatially varying friction and temperature field is important to understand conceptually. It requires to address the basic problem of relative stability of…

Condensed Matter · Physics 2007-05-23 A. M. Jayannavar , Mangal C. Mahato

We analyze the equilibration process between two either fermionic or bosonic reservoirs containing ultracold atoms with a fixed total number of particles that are weakly connected via a few-level quantum system. We allow for both the…

We investigate the dynamics of an ensemble of inelastic hard spheres confined between two horizontal plates separated a distance smaller than twice the diameter of the particles, in such a way that the system is quasi-two-dimensional. The…

Statistical Mechanics · Physics 2019-03-27 P. Maynar , M. I. García de Soria , J. Javier Brey

Electrostatic oscillations in cold electron-positron plasmas can be coupled to a propagating electromagnetic mode if the background magnetic field is inhomogeneous. Previous work considered this coupling in the quasi-linear regime,…

Astrophysics · Physics 2007-05-23 C. R. Stark , D. A. Diver , A. A. da Costa