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The investigation of spin and polarization effects in ultra-high intensity laser-plasma and laser-beam interactions has become an emergent topic in high-field science recently. In this paper we derive a relativistic kinetic description of…

Plasma Physics · Physics 2025-01-14 Daniel Seipt , Alec G. R. Thomas

We investigate the dynamics of quantum vortex dipoles in a strongly interacting, spin-imbalanced Fermi superfluid at zero temperature. Using fully microscopic time-dependent density functional theory, we demonstrate that the dipole…

Quantum Gases · Physics 2025-11-05 Andrea Barresi , Piotr Magierski , Gabriel Wlazłowski

Current implementations of fluctuating lattice Boltzmann equations (FLBE) describe single component fluids. In this paper, a model based on the continuum kinetic Boltzmann equation for describing multicomponent fluids is extended to…

Statistical Mechanics · Physics 2016-11-16 D. Belardinelli , M. Sbragaglia , L. Biferale , M. Gross , F. Varnik

We use the 2PI effective action of a relativistic scalar field theory to derive kinetic equations for a Bose-condensed system near the phase transition.We start from equations of motion derived within a 1/N-expansion at NLO. In taking the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Baier , T. Stockamp

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

Numerical solution of non-steady problems of supersonic inflow of a binary mixture of a rarefied gas on a normally posed wall with mirror and diffuse reflection laws is obtained on the basis of the kinetic Boltzmann equation for the model…

Fluid Dynamics · Physics 2015-02-06 Alla Raines

Sympathetic cooling of an atomic Fermi gas by a Bose gas is studied by solution of the coupled quantum Boltzmann equations for the confined gas mixture. Results for equilibrium temperatures and relaxation dynamics are presented, and some…

Quantum Physics · Physics 2009-10-31 W. Geist , L. You , T. A. B. Kennedy

We describe a generic theoretical framework, denoted as the Boltzmann-Ginzburg-Landau approach, to derive continuous equations for the polar and/or nematic order parameters describing the large scale behavior of assemblies of point-like…

Statistical Mechanics · Physics 2014-06-17 Anton Peshkov , Eric Bertin , Francesco Ginelli , Hugues Chaté

A general framework for solving the Boltzmann equation for a 2-dimensional electron gas (2DEG) in random magnetic fields is presented, when the random fields are included in the driving force. The formalism is applied to some recent…

Condensed Matter · Physics 2009-10-22 Per Hedegard , Anders Smith

We consider an inverse problem for the Boltzmann equation with nonlinear collision operator in dimensions $n\geq 2$. We show that the kinetic collision kernel can be uniquely determined from the incoming-to-outgoing mappings on the boundary…

Analysis of PDEs · Mathematics 2020-03-24 Ru-Yu Lai , Gunther Uhlmann , Yang Yang

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe…

High Energy Physics - Phenomenology · Physics 2021-05-06 Yu-Chen Liu , Kazuya Mameda , Xu-Guang Huang

An explicit solution of the stationary one dimensional half-space boundary value problem for the linear Boltzmann equation is presented in the presence of an arbitrarily high constant external field. The collision kernel is assumed to be…

Statistical Mechanics · Physics 2025-09-08 C. Dalitz , E. H. de Groot

The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-Liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion…

Statistical Mechanics · Physics 2008-02-03 T. P. C. van Noije , M. H. Ernst

Spin-polarized samples and spin mixtures of quantum degenerate fermionic atoms are prepared in selected excited Bloch bands of an optical chequerboard square lattice. For the spin-polarized case, extreme band lifetimes above $10\,$s are…

Quantum Gases · Physics 2021-07-21 M. Hachmann , Y. Kiefer , J. Riebesehl , R. Eichberger , A. Hemmerich

We show how spin-spin correlations, detected in a non-destructive way via spatially resolved quantum polarization spectroscopy, strongly characterize various phases realized in trapped ultracold fermionic atoms. Polarization degrees of…

Strongly Correlated Electrons · Physics 2010-03-23 T. Roscilde , M. Rodriguez , K. Eckert , O. Romero-Isart , M. Lewenstein , E. Polzik , A. Sanpera

Electric response of spin polarization in two-dimensional electron gas with structural inversion asymmetry subjected to a magnetic field was studied by means of the linear and non-linear theory and numerical simulation with the disorder…

Mesoscale and Nanoscale Physics · Physics 2007-09-05 Yun-Juan Bao , Shun-Qing Shen

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of peripheral and central heavy ion reactions are compared. The experimental finding of enhancement of mid-rapidity matter shows the necessity to…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz

We derive the 3D spatially homogeneous Boltzmann's equation with moderately soft potentials and singular angular interaction, from an interacting particles system. The collision kernel is of the form $B(z,\sigma)=|z|^{\gamma}b\left(…

Analysis of PDEs · Mathematics 2020-12-11 Samir Salem

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

High Energy Physics - Phenomenology · Physics 2025-03-12 Samapan Bhadury

Recent experiments with dilute trapped Fermi gases observed that weak interactions can drastically modify spin transport dynamics and give rise to robust collective effects including global demagnetization, macroscopic spin waves, spin…

Quantum Gases · Physics 2016-12-09 Andrew P. Koller , Michael L. Wall , Josh Mundinger , Ana Maria Rey
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