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We investigate the thermal conductivity of the classical Heisenberg spin chain coupled to a variety of phonon systems using a Green-Kubo approach as well as coupling to heat reservoirs. The decay of energy current correlations is power law…

Statistical Mechanics · Physics 2009-11-11 A. V. Savin , G. P. Tsironis , X. Zotos

Following the nonequilibrium Green's function formalism we study the thermal transport in a composite chain subject to a time-dependent perturbation. The system is formed by two finite linear asymmetric harmonic chains subject to an on-site…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 N. Beraha , A. Soba , M. F. Carusela

The temperature-dependent phonons are a generalization of interatomic force constants varying in T, which as found widespread use in computing the thermal transport of materials. A formal justification for using this combination to access…

Materials Science · Physics 2025-01-31 Aloïs Castellano , J. P. Alvarinhas Batista , Olle Hellman , Matthieu J. Verstraete

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…

Statistical Mechanics · Physics 2018-08-20 Stefano Baroni , Riccardo Bertossa , Loris Ercole , Federico Grasselli , Aris Marcolongo

We study heat transport in two systems without momentum conservation: a hydrodynamic system, and a holographic system with spatially dependent, massless scalar fields. When momentum dissipates slowly, there is a well-defined, coherent…

High Energy Physics - Theory · Physics 2015-01-22 Richard A. Davison , Blaise Goutéraux

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…

Statistical Mechanics · Physics 2019-09-30 Loris Ercole , Aris Marcolongo , Stefano Baroni

In this study we used nonequilibrium simulation method to investigate the temperature dependent divergence of thermal conductivity in one dimensional momentum conserving system with asymmetric double well nearest-neighbor interaction…

Statistical Mechanics · Physics 2019-02-06 Archana G R , Debashis Barik

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

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…

Statistical Mechanics · Physics 2015-05-19 Jie Chen , Gang Zhang , Baowen Li

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and…

Statistical Mechanics · Physics 2021-05-26 Rongxiang Luo , Lisheng Huang , Stefano Lepri

We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By…

Statistical Mechanics · Physics 2009-11-11 R. Lefevere , A. Schenkel

We apply the Green-Kubo (G-K) approach to obtain the thermal conductivity tensor of $\beta$-1,3,5,7-tetranitro-1,3,5,7-tetrazocane ($\beta$-HMX) as a function of pressure and temperature from equilibrium molecular dynamics (MD) simulations.…

Materials Science · Physics 2023-09-18 Andrey Pereverzev , Tommy Sewell

The closely related Green-Kubo and Helfand moment approaches are applied to obtain the thermal conductivity tensor of $\beta$-1,3,5,7-tetranitro-1,3,5,7-tetrazoctane ($\beta$-HMX) at $T=300$ K and $P=1$ atm from equilibrium molecular…

Materials Science · Physics 2022-02-16 Andrey Pereverzev , Tommy Sewell

We study non-equilibrium properties of a chain of $N$ oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic)…

Statistical Mechanics · Physics 2025-01-14 Francesco Andreucci , Stefano Lepri , Carlos Mejía-Monasterio , Stefano Ruffo

The heat flux autocorrelation functions of carbon nanotubes (CNTs) with different radius and lengths is calculated using equilibrium molecular dynamics. The thermal conductance of CNTs is also calculated using the Green-Kubo relation from…

Materials Science · Physics 2009-11-10 Zhenhua Yao , Jian-Sheng Wang , Baowen Li , Gui-Rong Liu

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

Statistical Mechanics · Physics 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

The anharmonicity of atomic motion limits the thermal conductivity in crystalline solids. However, a microscopic understanding of the mechanisms active in strong thermal insulators is lacking. In this letter, we classify 465 experimentally…

Materials Science · Physics 2023-06-14 Florian Knoop , Thomas A. R. Purcell , Matthias Scheffler , Christian Carbogno

Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to…

Statistical Mechanics · Physics 2026-04-16 Rongxiang Luo , Jiaqi Wen , Juncheng Guo