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We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear…

High Energy Physics - Theory · Physics 2010-02-23 Miguel F. Paulos

We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

Self- and binary Maxwell-Stefan diffusion coefficients were determined by equilibrium molecular dynamics simulations with the Green-Kubo method. This study covers self-diffusion coefficients at liquid states for eight pure fluids, i.e.…

Chemical Physics · Physics 2009-04-30 Gimmy Alex Fernandez Ramirez , Jadran Vrabec , Hans Hasse

Extending the famous Model B for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. This approach is based on a single component fluid with…

Statistical Mechanics · Physics 2023-06-21 Maryam Akaberian , Filipe C Thewes , Peter Sollich , Matthias Krüger

The hydrodynamics of granular gases of viscoelastic particles, whose collision is described by an impact-velocity dependent coefficient of restitution, is developed using a modified Chapman-Enskog approach. We derive the hydrodynamic…

Statistical Mechanics · Physics 2009-11-10 Nikolai Brilliantov , Thorsten Poeschel

We implement, optimize, and validate the linear-scaling Kubo-Greenwood quantum transport simulation on graphics processing units by examining resonant scattering in graphene. We consider two practical representations of the Kubo-Greenwood…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Zheyong Fan , Andreas Uppstu , Topi Siro , Ari Harju

Leading-log results are derived for the shear viscosity, electrical conductivity, and flavor diffusion constants in both Abelian and non-Abelian high temperature gauge theories with various matter field content.

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

We consider the dispersion properties of tracer particles moving in non-equilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local…

Statistical Mechanics · Physics 2015-12-09 T. Guérin , D. S. Dean

The Kubo formula is a cornerstone in our understanding of near-equilibrium transport phenomena. While conceptually elegant, the application of Kubo's linear-response theory to interesting problems is hindered by the need for algorithms that…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Santiago Giménez de Castro , João M. Viana Parente Lopes , Aires Ferreira , D. A. Bahamon

Molecular dynamics (MD) simulations are increasingly being combined with machine learning (ML) to predict material properties. The molecular configurations obtained from MD are represented by multiple features, such as thermodynamic…

Second-order phase transitions are characterized by a divergence of the spatial correlation length of the order parameter fluctuations. For confined systems, this is known to lead to remarkable equilibrium physical phenomena, including…

Statistical Mechanics · Physics 2017-05-15 Christian M. Rohwer , Andrea Gambassi , Matthias Krüger

Viscosity, a fundamental transport and rheological property of liquids, quantifies the resistance to relative motion between molecular layers and plays a critical role in understanding material behavior. Conventional methods, such as the…

Soft Condensed Matter · Physics 2025-07-18 Ankit Singh , Vinay Vaibhav , Alessio Zaccone

Collective flow has been observed in heavy ion collisions, with a large anisotropic component, and ideal hydrodynamic calculations had significant successful in describing the distribution of produced particles at the RHIC experiments. In…

High Energy Physics - Lattice · Physics 2010-01-21 Harvey B. Meyer

A new approximate computational framework is proposed for computing the non-equilibrium charge density in the context of the non-equilibrium Green's function (NEGF) method for quantum mechanical transport problems. The framework consists of…

Computational Physics · Physics 2015-05-20 Quan Chen , Jun Li , Chiyung Yam , Yu Zhang , Ngai Wong , Guanhua Chen

We calculate two transport coefficients -- the shear viscosity over entropy ratio $\eta/s$ and the ratio of the electric conductivity to the temperature $\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$…

Nuclear Theory · Physics 2021-05-12 Olga Soloveva , David Fuseau , Jörg Aichelin , Elena Bratkovskaya

The bare diffusion coefficient is given as the time integral of the peculiar velocity autocorrelation function or PVACF and this result is different from the well known Green-Kubo formula. The bare diffusion coefficient characterizes the…

Statistical Mechanics · Physics 2007-05-23 Rodney L. Varley

The standard equilibrium Green-Kubo and nonequilibrium molecular dynamics (MD) methods for computing thermal transport coefficients in solids typically require relatively long simulation times and large system sizes. To this end, we revisit…

Materials Science · Physics 2019-03-05 Zheyong Fan , Haikuan Dong , Ari Harju , Tapio Ala-Nissila

We have developed a Green-Kubo relation that enables accurate calculations of friction at solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and that provides a pathway to bypass the time-scale limitations…

Statistical Mechanics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

We use a novel formulation of the relaxation time approximation to consistently calculate the bulk and shear viscosity coefficients using QCD-inspired energy-dependent relaxation times and phenomenological thermal masses obtained from fits…

Nuclear Theory · Physics 2023-07-06 Gabriel S. Rocha , Gabriel S. Denicol , Maurício N. Ferreira , Jorge Noronha

We present recent results on a systematic method to calculate transport coefficients for a meson gas (in particular, we analyze a pion gas) at low temperatures in the context of Chiral Perturbation Theory (ChPT). Our method is based on the…

High Energy Physics - Phenomenology · Physics 2010-04-15 D. Fernandez-Fraile , A. Gomez Nicola