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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

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 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

New results obtained for thermal conduction in 2D Yukawa systems. The results of numerical study of heat transfer processes for quasi equilibrium systems with parameters close to conditions in laboratory experiments with dusty plasma are…

等离子体物理 · 物理学 2015-06-03 Yu. V. Khrustalyov , O. S. Vaulina

A finite Green-Kubo thermal conductivity in a one-dimensional momentum conserving system was reported recently by Garrido et al [Phys. Rev. Lett., vol. 86, 5486 (2001)]. We first comment on the apparent contradiction with an earlier result…

统计力学 · 物理学 2009-11-07 Abhishek Dhar

A generalized Green-Kubo formula is derived for a quantum dissipative system of driven Brownian particle, in which the coupling between the system and the environment is linear. The structure is essentially the same as that for the…

统计力学 · 物理学 2015-05-14 Hisao Hayakawa

We investigate how the normal energy transport is realized in one-dimensional quantum systems using a quantum spin system. The direct investigation of local energy distribution under thermal gradient is made using the quantum master…

混沌动力学 · 物理学 2009-11-07 Keiji Saito

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

统计力学 · 物理学 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

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

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

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…

统计力学 · 物理学 2019-01-25 Marko Znidaric

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

量子物理 · 物理学 2011-07-05 D. M. Valente , A. O. Caldeira

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

Thermal conductivity of hadron matter is studied using a microscopic transport model, which will be used to simulate ultra-relativistic heavy ion collisions at different energy densities, namely the Ultra-relativistic Quantum Molecular…

核理论 · 物理学 2016-04-27 T. E Nemakhavhani , A. Muronga

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

统计力学 · 物理学 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

Using a time-averaging technique we obtain exactly the probability distribution for position and velocity of a Brownian particle under the influence of two heat baths at different temperatures. These baths are expressed by a white noise…

统计力学 · 物理学 2011-07-01 D. O. Soares-Pinto , W. A. M. Morgado

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…

统计力学 · 物理学 2015-06-22 Yonghong Yan , Feng Jiang , Hui Zhao

In this paper we describe a spatial decomposition of the thermal conductivity, what we name "site-projected thermal conductivity", a gauge of the thermal conduction activity at each site. The method is based on the Green-Kubo formula and…

材料科学 · 物理学 2025-09-16 C. Ugwumadu , A. Gautam , Y. G. Lee , D. A. Drabold

We re-derive the expression for the heat current for a classical system subject to periodic boundary conditions and show that it can be written as a sum of two terms. The first term is a time derivative of the first moment of the system…

统计力学 · 物理学 2025-05-16 Andrey Pereverzev

Real thermal motion of gas molecules, free electrons, etc., at long time intervals (much greater than mean free-flight time) possesses, contrary to its popular mathematical models, essentially non-Gaussian statistics. A simple proof of this…

统计力学 · 物理学 2007-10-23 Yuriy E. Kuzovlev
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