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We consider a class of stochastic models for energy transport and study relations between the thermal conductivity and some static observables, such as the static conductivity, which is defined as the contribution of static correlations in…

Mathematical Physics · Physics 2016-11-29 Makiko Sasada

A new model for predicting the effective thermal conductivity of polycrystalline materials is presented. In contrast to existing models, our new model is based on the thin-interface description of grain boundaries (GBs) and treats GBs as an…

Materials Science · Physics 2020-07-22 fergany Badry , Karim Ahmed

Recently we have introduced the microscopic response method (MRM) to compute the conductivity and Hall mobility for complex system with topological and thermal disorder, which is more convenient than the Kubo formula. We prove that for a…

Statistical Mechanics · Physics 2010-11-09 Mingliang Zhang , D. A. Drabold

We report the results of a computer simulation study of the thermodynamic properties and the thermal conductivity of supercooled water as a function of pressure and temperature using the TIP4P-2005 water model. The thermodynamic properties…

Statistical Mechanics · Physics 2015-06-19 F. Bresme , J. W. Biddle , J. V. Sengers , M. A. Anisimov

The transport coefficients for a gas of smooth, inelastic hard spheres are obtained from the Boltzmann equation in the form of Green-Kubo relations. The associated time correlation functions are not simply those constructed from the fluxes…

Statistical Mechanics · Physics 2015-06-24 James W. Dufty , J. Javier Brey

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

We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function. The energy current-current correlation is related to thermal conductivity by the…

Statistical Mechanics · Physics 2015-06-22 Yonghong Yan , Feng Jiang , Hui Zhao

In Part I of this two-part series, the reverse perturbation method for shearing simple liquids [Phys. Rev. E 59, 4894 (1999)] was extended to systems of interacting particles with time-discrete stochastic dynamics. For verification, in this…

Soft Condensed Matter · Physics 2019-10-16 Arash Nikoubashman , Thomas Ihle

Computation of correlated ionic transport properties from molecular dynamics in the Green-Kubo formalism is expensive as one cannot rely on the affordable mean square displacement approach. We use spectral decomposition of the short-time…

Computational Physics · Physics 2021-07-14 Nicola Molinari , Yu Xie , Ian Leifer , Aris Marcolongo , Mordechai Kornbluth , Boris Kozinsky

In crystalline materials, low lattice thermal conductivity is often associated with strong anharmonicity, which can cause significant deviations from the expected Lorentzian lineshape of phonon spectral functions. These deviations,…

Materials Science · Physics 2025-03-20 Đorđe Dangić , Giovanni Caldarelli , Raffaello Bianco , Ivana Savić , Ion Errea

With the rapid advance of high-performance computing and electronic technologies, understanding thermal conductivity in materials has become increasingly important. This study presents a novel method: the Site-projected Thermal Conductivity…

Materials Science · Physics 2024-11-22 A. Gautam , Y. G. Lee , C. Ugwumadu , K. Nepal , S. Nakhmanson , D. A. Drabold

Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

A new formalism to describe steady-state electronic and thermal transport in the framework of density functional theory is presented. A one-to-one correspondence is proven between the three basic variables of the theory, i.e., the density…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Nahual Sobrino , Florian Eich , Gianluca Stefanucci , Roberto D'Agosta , Stefan Kurth

Active fluids, which are driven at the microscale by non-conservative forces, are known to exhibit novel transport phenomena due to the breaking of time reversal symmetry. Recently, Epstein and Mandadapu [arXiv:1907.10041] obtained…

Statistical Mechanics · Physics 2022-03-08 Cory Hargus , Katherine Klymko , Jeffrey M. Epstein , Kranthi K. Mandadapu

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing…

Strongly Correlated Electrons · Physics 2024-08-28 Ipsita Mandal , Hermann Freire

Quark-Gluon plasmas produced in relativistic heavy-ion collisions quickly expand and cool, entering a phase consisting of multiple interacting hadronic resonances just below the QCD deconfinement temperature, $T\sim 155$ MeV. Numerical…

Nuclear Theory · Physics 2017-02-08 Scott Pratt , Alexander Baez , Jane Kim

For a quantum system in a steady state with a constant current of heat or particles driven by a temperature or chemical potential difference between two reservoirs attached to the system, the fluctuation theorem for the current was…

Statistical Mechanics · Physics 2015-06-04 Hiroshi Matsuoka

Thermal conductivity of a model glass-forming system in the liquid and glass states is studied using extensive numerical simulations. We show that near the glass transition temperture, where the structural relaxation time becomes very long,…

Disordered Systems and Neural Networks · Physics 2020-02-26 Pranab Jyoti Bhuyan , Rituparno Mandal , Pinaki Chaudhuri , Abhishek Dhar , Chandan Dasgupta

The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , Matthieu H. Ernst

We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium methods based on applying an external driving field to the…

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