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The transport coefficient of shear viscosity is studied for a hadron matter through microscopic transport model, the Ultra--relativistic Quantum Molecular Dynamics (UrQMD), using the Green--Kubo formulas. Molecular--dynamical simulations…

Nuclear Theory · Physics 2009-11-10 Azwinndini Muronga

Detailed calculations of the transport coefficients of a recently introduced particle-based model for fluid dynamics with a non-ideal equation of state are presented. Excluded volume interactions are modeled by means of biased stochastic…

Soft Condensed Matter · Physics 2010-12-06 Thomas Ihle

We describe a method for computing transport coefficients from the direct evaluation of large deviation function. This method is general, relying on only equilibrium fluctuations, and is statistically efficient, employing trajectory based…

Statistical Mechanics · Physics 2017-11-22 Chloe Ya Gao , David T. Limmer

The purpose of this study is to provide a reproducible framework in the use of the Green-Kubo formalism to extract transport coefficients. More specifically, in the case of shear viscosity, we investigate the limitations and technical…

Nuclear Theory · Physics 2018-07-04 J. -B. Rose , J. M. Torres-Rincon , D. Oliinychenko , A. Schäfer , H. Petersen

Explicit expressions for the transport coefficients of a recently introduced stochastic model for simulating fluctuating fluid dynamics are derived in three dimensions by means of Green-Kubo relations and simple kinetic arguments. The…

Statistical Mechanics · Physics 2009-11-10 Erkan Tuzel , Martin Strauss , Thomas Ihle , Daniel M. Kroll

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Transport properties of liquid methanol and ethanol are predicted by molecular dynamics simulation. The molecular models for the alcohols are rigid, non-polarizable and of united-atom type. They were developed in preceding work using…

Chemical Physics · Physics 2009-06-10 Gabriela Guevara-Carrion , Carlos Nieto-Draghi , Jadran Vrabec , Hans Hasse

The reverse perturbation method [Phys. Rev. E 59, 4894 (1999)] for shearing simple liquids and measuring their viscosity is extended to the Vicsek-model (VM) of active particles [Phys. Rev. Lett. 75, 1226 (1995)] and its metric-free…

Soft Condensed Matter · Physics 2019-10-23 Arash Nikoubashman , Thomas Ihle

The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal…

Nuclear Theory · Physics 2008-11-26 T. Koide

We address the question of whether transport coefficients obtained from a unitary closed system setting, i.e., the standard equilibrium Green-Kubo formula, are the same as the ones obtained from a weakly driven nonequilibrium steady-state…

Statistical Mechanics · Physics 2019-01-25 Marko Znidaric

Transport coefficients are determined by the slope of spectral functions of composite operators at zero frequency. We study the spectral function relevant for the shear viscosity for arbitrary frequencies in weakly-coupled scalar and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts , Jose Maria Martinez Resco

Directly computing mass transport coefficients in stochastic models requires integrating over time the equilibrium correlations between atomic displacements. Here, we show how to accelerate the computations via \green{correlation splitting…

Materials Science · Physics 2021-12-06 Manuel Athènes , Gilles Adjanor , Jérôme Creuze

We demonstrate the practical feasibility of calculating transport coefficients such as the viscosity of liquids completely from first principles using the Green-Kubo relations. Results presented for liquid aluminum are shown to have a…

Condensed Matter · Physics 2009-10-31 Dario Alfe` , Michael J. Gillan

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

Transport coefficients can be obtained from 2-point correlators using the Kubo formulae. It has been shown that the full leading order result for electrical conductivity and (QCD) shear viscosity is contained in the re-summed 2-point…

High Energy Physics - Phenomenology · Physics 2011-10-07 M. E. Carrington

Finite size consideration of matter significantly affects transport coefficients like shear viscosity, bulk viscosity, electrical conductivity, which we have investigated here in the framework of the Polyakov-Nambu-Jona-Lasinio model. Owing…

Nuclear Theory · Physics 2018-07-02 Kinkar Saha , Sabyasachi Ghosh , Sudipa Upadhaya , Soumitra Maity

The shear viscosity coefficient of the one-component plasma is calculated with unprecedented accuracy using equilibrium molecular dynamics simulations and the Green-Kubo relation. Numerical and statistical uncertainties and their mitigation…

Plasma Physics · Physics 2014-10-13 Jerome Daligault , Kim O. Rasmussen , Scott D. Baalrud

In molecular dynamics, transport coefficients measure the sensitivity of the invariant probability measure of the stochastic dynamics at hand with respect to some perturbation. They are typically computed using either the linear response of…

Numerical Analysis · Mathematics 2025-02-19 Pierre Monmarché , Renato Spacek , Gabriel Stoltz

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

Viscosity is a fundamental property of liquid lubricants, yet it is challenging to determine accurately, especially at high pressures. Although equilibrium molecular dynamics (EMD) simulations are a promising alternative to…

Computational Physics · Physics 2026-03-13 Gözdenur Toraman , Dieter Fauconnier , Toon Verstraelen
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