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We study the shear viscosity of a dilute Fermi gas as a function of the scattering length in the vicinity of the unitarity limit. The calculation is based on kinetic theory, which provides a systematic approach to transport properties in…

Quantum Gases · Physics 2014-12-17 Marcus Bluhm , Thomas Schaefer

We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity…

Analysis of PDEs · Mathematics 2015-06-04 Francis Filbet , Thomas Rey

Uniform neutron matter is approximated by a cubic box containing a finite number of neutrons, with periodic boundary conditions. We report variational and Green's function Monte Carlo calculations of the ground state of fourteen neutrons in…

Nuclear Theory · Physics 2009-11-10 J. Carlson , J. Morales , V. R. Pandharipande , D. G. Ravenhall

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

Soft Condensed Matter · Physics 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

The Larkin-Migdal approach to a cold superfluid Fermi liquid is generalized for a non-equilibrium system. The Schwinger-Keldysh diagram technique is applied. The developed formalism is applicable to the pairing in the states with arbitrary…

Nuclear Theory · Physics 2015-03-17 E. E. Kolomeitsev , D. N. Voskresensky

We concentrate on calculation of the shear and bulk viscosities of the hadron gas. They define its dissipative dynamics and influence its experimentally measurable elliptic flow. Due to difficulty of this calculation the relaxation time…

High Energy Physics - Phenomenology · Physics 2016-01-01 O. Moroz

With rheology applications in mind, we present a fast solver for the time-dependent effective viscosity of an infinite lattice containing one or more neutrally buoyant smooth rigid particles per unit cell, in a two-dimensional Stokes fluid…

Numerical Analysis · Mathematics 2019-12-11 Jun Wang , Ehssan Nazockdast , Alex Barnett

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients,…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Xu-Guang Huang , Armen Sedrakian , Dirk H. Rischke

The shear viscosity $\eta$ for a dilute classical gas of hard-sphere particles is calculated by solving the Boltzmann kinetic equation in terms of the weakly absorbed plane waves. For the rare-collision regime, the viscosity $\eta$ as a…

Statistical Mechanics · Physics 2018-01-29 A. G. Magner , M. I. Gorenstein , U. V. Grygoriev

The Taylor-Aris theory of shear diffusion predicts that the effective diffusivity of a tracer molecule in a sheared liquid is enhanced by a term quadratic in the shear rate. In sheared supercooled liquids, instead, the observed enhancement…

Soft Condensed Matter · Physics 2025-11-06 Mangesh Bhendale , Jayant K. Singh , Alessio Zaccone

We propose a variance reduction method for calculating transport coefficients in molecular dynamics using an importance sampling method via Girsanov's theorem applied to Green--Kubo's formula. We optimize the magnitude of the perturbation…

Numerical Analysis · Mathematics 2025-04-18 Raphaël Gastaldello , Gabriel Stoltz , Urbain Vaes

We extract the specific shear viscosity $\eta/s$ of nuclear matter for various temperatures and chemical potentials in the hadronic phase using data taken in high energy nuclear collisions. We use a blastwave parameterization of the final…

Nuclear Theory · Physics 2018-07-24 Zhidong Yang , Rainer J. Fries

We are interested in the molecule reduction algorithm introduced by Deng and Hani. They use this algorithm to establish a rigidity theorem, which plays a central role in the kinetic-time derivation of the wave equation associated with the…

Analysis of PDEs · Mathematics 2026-05-21 Yvain Bruned , Valentin Clarisse

The shear viscosity tensor of the superfluid Fermi gas in p-wave state with weak interaction is calculated at low temperatures, by using the Boltzmann equation approach. We consider the transition probabilities for the binary, decay and…

Quantum Gases · Physics 2016-03-09 Soudabe Nasirimoghadam , Roohollah Aliabadi , Mohamad Ali Shahzamanian

Motivated by the theory of relativistic hydrodynamic fluctuations we make use of the Green-Kubo formula to compute the electrical conductivity and the (second-order) relaxation time of the electric current of an interacting hadron gas. We…

High Energy Physics - Phenomenology · Physics 2019-05-08 Jan Hammelmann , Juan M. Torres-Rincon , Jean-Bernard Rose , Moritz Greif , Hannah Elfner

Granular solid hydrodynamics (GSH) is a continuum-mechanical theory for granular media, the range of which is shown in this paper. Simple, frequently analytic solutions are related to classic observations at different shear rates,…

Soft Condensed Matter · Physics 2017-01-25 Yimin Jiang , Mario Liu

We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation. This work studies the connections between molecular-scale…

Fluid Dynamics · Physics 2025-07-11 Tarik Dzanic , Will Trojak , Luigi Martinelli

In the past few years, the theory of thermal transport in amorphous solids has been substantially extended beyond the Allen-Feldman model. The resulting formulation, based on the Green-Kubo linear response or the Wigner-transport equation,…

Materials Science · Physics 2023-09-08 Alfredo Fiorentino , Paolo Pegolo , Stefano Baroni

Based on the standard Skyrme energy density functionals together with the extended Thomas-Fermi approach, the properties of symmetric and asymmetric nuclear matter represented in two macroscopic-microscopic mass formulas: Lublin-Strasbourg…

Nuclear Theory · Physics 2016-03-10 Ning Wang , Min Liu , Li Ou , Yingxun Zhang

The shear and the bulk viscosities of the hadron gas at low temperatures are studied in the model with constant elastic cross sections being relativistic generalization of the hard spheres model. One effective radius ${r=0.4 fm}$ is chosen…

High Energy Physics - Phenomenology · Physics 2015-03-19 Oleg N. Moroz