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Related papers: Exact heat flux formula and its spectral decomposi…

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We derive expressions of interatomic force and heat current for many-body potentials such as the Tersoff, the Brenner, and the Stillinger-Weber potential used extensively in molecular dynamics simulations of covalently bonded materials.…

Mesoscale and Nanoscale Physics · Physics 2015-09-09 Zheyong Fan , Luiz Felipe C. Pereira , Hui-Qiong Wang , Jin-Cheng Zheng , Davide Donadio , Ari Harju

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…

Materials Science · Physics 2019-03-05 Zheyong Fan , Haikuan Dong , Ari Harju , Tapio Ala-Nissila

In this study, we derive the heat flux formula for the Allegro model, one of machine-learning interatomic potentials using the equivariant deep neural network, to calculate lattice thermal conductivity using the homogeneous non-equilibrium…

Computational Physics · Physics 2024-03-22 Kohei Shimamura , Shinnosuke Hattori , Ken-ichi Nomura , Akihide Koura , Fuyuki Shimojo

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the…

Computational Physics · Physics 2020-09-30 Bingqing Cheng , Daan Frenkel

Understanding the generation mechanism of the heating flux is essential for the design of hypersonic vehicles. We proposed a novel formula to decompose the heat flux coefficient into the contributions of different terms by integrating the…

Fluid Dynamics · Physics 2021-06-22 Dong Sun , Qilong Guo , Xianxu Yuan , Haoyuan Zhang , Chen Li , Pengxin Liu

The calculation of caloric properties such as heat capacity, Joule-Thomson coefficients and the speed of sound by classical force-field-based molecular simulation methodology has received scant attention in the literature, particularly for…

Chemical Physics · Physics 2019-03-15 William R. Smith , Jan Jirsák , Ivo Nezbeda , Weikai Qi

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…

Materials Science · Physics 2023-10-12 Marcel F. Langer , Florian Knoop , Christian Carbogno , Matthias Scheffler , Matthias Rupp

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

Context: Thermal conductivity provides important contributions to the energy evolution of the upper solar atmosphere, behaving as a non-linear concentration-dependent diffusion equation. Recently, different methods have been offered as…

Solar and Stellar Astrophysics · Physics 2024-12-11 George Cherry , Boris Gudiksen , Mikolaj Szydlarski

The design of new applications, especially those based on heterogeneous integration, must rely on detailed knowledge of material properties, such as thermal conductivity (TC). To this end, multiple methods have been developed to study TC as…

Materials Science · Physics 2021-05-18 Alexander J. Gabourie , Zheyong Fan , Tapio Ala-Nissila , Eric Pop

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

The definition of heat current operator for systems for non-pairwise additive interactions and its impact on related lattice thermal conductivity ($\kappa_{L}$) via molecular dynamics simulation (MD) are ambiguous and controversial when…

Materials Science · Physics 2025-05-27 Siu Ting Tai , Chen Wang , Ruihuan Cheng , Yue Chen

Using molecular dynamics simulations, we study supercritical fluids near the gas-liquid critical point under heat flow in two dimensions. We calculate the steady-state temperature and density profiles. The resultant thermal conductivity…

Statistical Mechanics · Physics 2009-11-10 Toshiyuki Hamanaka , Ryoichi Yamamoto , Akira Onuki

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…

Materials Science · Physics 2017-05-03 Christian Carbogno , Rampi Ramprasad , Matthias Scheffler

Thermal conductivity is one of the important mechanisms of heat transfer in the solar corona. In the limit of strongly magnetized plasma, it is typically modeled by Spitzer's expression where the heat flux is aligned with the magnetic…

Solar and Stellar Astrophysics · Physics 2022-07-20 Anamaría Navarro , E. Khomenko , M. Modestov , N. Vitas

Using molecular dynamics (MD) with classical interaction potentials we present calculations of thermal conductivity and heat transport in crystals and glasses. Inducing shock waves and heat pulses into the systems we study the spreading of…

Materials Science · Physics 2009-10-31 C. Oligschleger , J. C. Sch"on

We present a new analytic expression for the heat current through a general harmonic network coupled with Ohmic reservoirs. We use a new method that enables us to express the stationary state of the network in terms of the eigenvectors and…

Quantum Physics · Physics 2015-06-22 Nahuel Freitas , Juan Pablo Paz

We use nonequilibrium molecular dynamics (NEMD) to explore the effect of shear flow on heat flux. By simulating a simple fluid in a channel bounded by tethered atoms, the heat flux is computed for two systems: a temperature driven one with…

Soft Condensed Matter · Physics 2019-02-13 E. R. Smith , P. J. Daivis , B. D. Todd

We propose a way to properly interpret the apparent thermal conductivity obtained for finite systems using equilibrium molecular dynamics simulations (EMD) with fixed or open boundary conditions in the transport direction. In such systems…

Statistical Mechanics · Physics 2021-01-27 Haikuan Dong , Shiyun Xiong , Zheyong Fan , Ping Qian , Yanjing Su , Tapio Ala-Nissila

A two-step unified framework for the evaluation of continuum field expressions from molecular simulations for arbitrary interatomic potentials is presented. First, pointwise continuum fields are obtained using a generalization of the…

Chemical Physics · Physics 2015-08-11 Nikhil Chandra Admal , E. B. Tadmor
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