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We establish existence of global-in-time weak solutions to the one dimensional, compressible Navier-Stokes system for a viscous and heat conducting ideal polytropic gas (pressure $p=K\theta/\tau$, internal energy $e=c_v \theta$), when the…

Analysis of PDEs · Mathematics 2009-06-26 Helge Kristian Jenssen , Trygve Karper

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

We present a detailed description of semi-quantum molecular dynamics simulation of stochastic dynamics of a system of interacting particles. Within this approach, the dynamics of the system is described with the use of classical Newtonian…

Computational Physics · Physics 2015-06-03 Alexander V. Savin , Yuriy A. Kosevich , Andres Cantarero

We present a time-linear scaling method to simulate open and correlated quantum systems out of equilibrium. The method inherits from many-body perturbation theory the possibility to choose selectively the most relevant scattering processes…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 R. Tuovinen , Y. Pavlyukh , E. Perfetto , G. Stefanucci

In this paper we introduce a method to estimate a pressure dependent thermal conductivity coefficient arising in a heat diffusion model with applications in food technology. To address the known smoothing effect of the direct problem, we…

Applications · Statistics 2019-03-08 Marcos A Capistran , Juan Antonio Infante del Rio

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

An analysis of thermal transients from non-equilibrium ab initio molecular-dynamics simulations can be used to calculate the thermal conductivity of materials with a short phonon mean-free path. We adapt the approach-to-equilibrium…

Materials Science · Physics 2020-06-01 Felix C. Mocanu , Konstantinos Konstantinou , Stephen R. Elliott

We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical…

Condensed Matter · Physics 2009-10-30 S. Roche , Guy Trambly de Laissardiere , D. Mayou

First-principles molecular dynamics simulation based on a plane wave/pseudopotential implementation of density functional theory is adopted to investigate atomic scale energy transport for semiconductors (silicon and germanium). By imposing…

Computational Physics · Physics 2016-02-02 Pengfei Ji , Yuwen Zhang

We developed a novel contactless frequency-domain approach to study thermal transport, which is particularly convenient when thermally anisotropic materials are considered. The method is based on a similar line-shaped heater geometry as…

We give a quantitative analysis of the dynamical properties of fermionic cold atomic gases in normal phase, such as the shear viscosity, heat conductivity, and viscous relaxation times, using the novel microscopic expressions derived by the…

Quantum Gases · Physics 2016-06-22 Yuta Kikuchi , Kyosuke Tsumura , Teiji Kunihiro

We discuss the foundations and extend the range of applicability of the widely used Kubo-Greenwood formula (KGF) for the electronic conductivity. The conductivity is derived from the current density, and only the probability amplitude…

Statistical Mechanics · Physics 2009-04-02 Ming-Liang Zhang , D. A. Drabold

The thermal conductivity is calculated with the Helfand-moment method in the Lennard-Jones fluid near the triple point. The Helfand moment of thermal conductivity is here derived for molecular dynamics with periodic boundary conditions.…

Statistical Mechanics · Physics 2007-05-23 S. Viscardy , J. Servantie , P. Gaspard

Molecular dynamics simulations are used to simulate the thermal properties of a model fluid containing nanoparticles (nanofluid). By modelling transient absorption experiments, we show that they provide a reliable determination of…

Materials Science · Physics 2015-06-25 Mihail Vladkov , J. -L. Barrat

Transport properties are central to characterizing quantum matter, yet their extraction typically requires external forcing and time-resolved measurements. In this work, we propose a scheme to access transport coefficients directly from…

Quantum Gases · Physics 2026-03-04 Felix A. Palm , Alexander Impertro , Monika Aidelsburger , Nathan Goldman

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current…

Strongly Correlated Electrons · Physics 2009-11-11 B Sriram Shastry

In both research and textbook literature one often finds two ``different'' Kubo formulas for the zero-temperature conductance of a non-interacting Fermi system. They contain a trace of the product of velocity operators and single-particle…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

Past molecular dynamics studies of thermal transport have predominantly used Stillinger-Weber potentials. As materials continuously shrink, their properties increasingly depend on defect and surface effects. Unfortunately, Stillinger-Weber…

Materials Science · Physics 2012-06-26 X. W. Zhou , R. E. Jones

We present a new method for predicting effective thermal conductivity ($\kappa_{\textrm{eff}}$) in materials, informed by ${ab\,initio}$ material property simulations. Using the Boltzmann transport equation in a Self-Adjoint Angular Flux…

Materials Science · Physics 2019-08-22 Jackson R. Harter , Aria Hosseini , Todd. S. Palmer , P. Alex Greaney

An accurate description of electron transport at a molecular level requires a precise treatment of quantum effects. These effects play a crucial role in determining the electron transport properties of single molecules, such as…

Quantum Physics · Physics 2020-12-18 Soran Jahangiri , Juan Miguel Arrazola , Alain Delgado
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