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We present a method, based on the classical Green-Kubo theory of linear response, to compute the heat conductivity of extended systems, leveraging energy-density, rather than energy-current, fluctuations, thus avoiding the need to devise an…

材料科学 · 物理学 2024-02-01 Enrico Drigo , Maria Grazia Izzo , Stefano Baroni

The Green-Kubo (GK) method is a rigorous framework for heat transport simulations in materials. However, it requires an accurate description of the potential-energy surface and carefully converged statistics. Machine-learning potentials can…

Quantum simulation methods based on density-functional theory are currently deemed unfit to cope with atomic heat transport within the Green-Kubo formalism, because quantum-mechanical energy densities and currents are inherently ill-defined…

材料科学 · 物理学 2016-01-20 Aris Marcolongo , Paolo Umari , Stefano Baroni

The Green-Kubo theory of thermal transport has long be considered incompatible with modern simulation methods based on electronic-structure theory, because it is based on such concepts as energy density and current, which are ill-defined at…

统计力学 · 物理学 2018-08-20 Stefano Baroni , Riccardo Bertossa , Loris Ercole , Federico Grasselli , Aris Marcolongo

The theory of fluctuating hydrodynamics has been an important tool for analyzing macroscopic behavior in nonlinear lattices. However, despite its practical success, its microscopic derivation is still incomplete. In this work, we provide…

统计力学 · 物理学 2021-07-07 Keiji Saito , Masaru Hongo , Abhishek Dhar , Shin-ichi Sasa

The evaluation of transport coefficients in extended systems, such as thermal conductivity or shear viscosity, is known to require impractically long simulations, thus calling for a paradigm shift that would allow to deploy state-of-the-art…

统计力学 · 物理学 2019-09-30 Loris Ercole , Aris Marcolongo , Stefano Baroni

The Kubo-Greenwood (KG) formula is often used in conjunction with Kohn-Sham (KS) density functional theory (DFT) to compute the optical conductivity, particularly for warm dense mater. For applying the KG formula, all KS eigenstates and…

材料科学 · 物理学 2019-11-06 Yael Cytter , Eran Rabani , Daniel Neuhauser , Martin Preising , Ronald Redmer , Roi Baer

In this study, the transport properties, such as diffusivity, viscosity, and thermal conductivity, of 4He at the gaseous phase are computed for state points in the temperature range of 10 K to 150 K and pressure range of 0.10 MPa (1 atm) to…

化学物理 · 物理学 2024-06-18 Kaanapuli Ramkumar , Swati Swagatika Mishra , Sudeep Bhattacharjee

We herein present a first-principles formulation of the Green-Kubo method that allows the accurate assessment of the non-radiative thermal conductivity of solid semiconductors and insulators in equilibrium ab initio molecular dynamics…

材料科学 · 物理学 2017-05-03 Christian Carbogno , Rampi Ramprasad , Matthias Scheffler

In equilibrium molecular dynamics, Einstein relation can be used to calculate the thermal conductivity. This method is equivalent to Green-Kubo relation and it does not require a derivation of an analytical form for the heat current.…

化学物理 · 物理学 2016-08-14 Alper Kinaci , Justin B. Haskins , Tahir Çağın

Ab initio Green-Kubo (aiGK) simulations of heat transport in solids allow for assessing lattice thermal conductivity in anharmonic or complex materials from first principles. In this work, we present a detailed account of their practical…

材料科学 · 物理学 2023-06-14 Florian Knoop , Matthias Scheffler , Christian Carbogno

Different molecular dynamics methods like the direct method, the Green-Kubo (GK) method and homogeneous non-equilibrium molecular dynamics (HNEMD) method have been widely used to calculate lattice thermal conductivity ($\kappa_\ell$). While…

材料科学 · 物理学 2017-06-02 Bonny Dongre , Tao Wang , Georg K. H. Madsen

We propose an approach that can accurately predict the heat conductivity of liquid water. On the one hand, we develop an accurate machine-learned potential based on the neuroevolution-potential approach that can achieve quantum-mechanical…

计算物理 · 物理学 2023-05-30 Ke Xu , Yongchao Hao , Ting Liang , Penghua Ying , Jianbin Xu , Jianyang Wu , Zheyong Fan

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…

软凝聚态物质 · 物理学 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

We present generalized Green-Kubo expressions for thermal transport coefficients $\mu$ in non-conservative fluid-type systems, of the generic form, $\mu$ $= \mu_\infty$ $+\int^\infty_0 dt V^{-1} \av{I_\epsilon \exp(t {\cal L}) I}_0$ where…

统计力学 · 物理学 2007-05-23 M. H. Ernst , R. Brito

Molecular dynamics (MD) simulations are used to calculate transport coefficients in a two-component plasma interacting through a repulsive Coulomb potential. The thermal conductivity, electrical conductivity, electrothermal coefficient,…

等离子体物理 · 物理学 2025-11-14 Briggs Damman , Jarett LeVan , Scott Baalrud

We present a generalization of the Green-Kubo expressions for thermal transport coefficients $\mu$ in complex fluids of the generic form, $\mu= \mu_\infty +\int^\infty_0 dt V^{-1} < J_\epsilon \exp(t {\cal L}) J >_0$, i.e. a sum of an…

统计力学 · 物理学 2007-05-23 M. H. Ernst , R. Brito

Molecular dynamics simulations play an important role in studying heat transport in complex materials. The lattice thermal conductivity can be computed either using the Green-Kubo formula in equilibrium MD (EMD) simulations or using…

计算物理 · 物理学 2018-05-02 Haikuan Dong , Zheyong Fan , Libin Shi , Ari Harju , Tapio Ala-Nisilla

Equilibrium molecular dynamics (EMD) simulations through Green-Kubo formula (GKF) have been widely used in the study of thermal conductivity of various materials. However, there exist controversial simulation results which have huge…

统计力学 · 物理学 2015-05-19 Jie Chen , Gang Zhang , Baowen Li

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…

材料科学 · 物理学 2019-03-05 Zheyong Fan , Haikuan Dong , Ari Harju , Tapio Ala-Nissila
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