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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

In this letter we derive a new method for direct calculation of the modal contributions to thermal conductivity, which is termed Green-Kubo modal analysis (GKMA). The GKMA method combines the lattice dynamics formalism with the Green-Kubo…

Materials Science · Physics 2016-02-17 Wei Lv , Asegun Henry

With the rapid advance of high-performance computing and electronic technologies, understanding thermal conductivity in materials has become increasingly important. This study presents a novel method: the Site-projected Thermal Conductivity…

Materials Science · Physics 2024-11-22 A. Gautam , Y. G. Lee , C. Ugwumadu , K. Nepal , S. Nakhmanson , D. A. Drabold

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…

Materials Science · Physics 2017-06-02 Bonny Dongre , Tao Wang , Georg K. H. Madsen

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…

Computational Physics · Physics 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…

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

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

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

With the advent of high-performance computing techniques, the data for analysis has grown significantly. Here, graphic processing unit (GPU) based program kernels are discussed to exploit parallelism in the analysis codes specific to…

Computational Physics · Physics 2018-11-07 Gourav Shrivastav , Manish Agarwal

Investigating properties of phase change materials (PCMs) is an important issue due to their extensive use in heat storage systems and thermal regulation devices. Improvement of the efficiency of such systems should be based on a better…

Applied Physics · Physics 2022-07-18 L. Klochko , J. Noel , N. R. Sgreva , S. Leclerc , C. Métivier , D. Lacroix , M. Isaiev

In this study we have derived an exact framework for the calculation of the heat flux and its spectral decomposition in Molecular Dynamics (MD) for arbitrary many-body potentials. This work addresses several lacks and limitations of…

Materials Science · Physics 2025-12-10 Markos Poulos , Donatas Surblys , Konstantinos Termentzidis

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…

Materials Science · Physics 2025-09-16 C. Ugwumadu , A. Gautam , Y. G. Lee , D. A. Drabold

Efficient numerical models are required for the design of systems with high temperature superconductor (HTS) coils, as fully resolved finite element simulations of individual coated conductors become computationally prohibitive. This work…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Elias Paakkunainen , Louis Denis , Benoît Vanderheyden , Christophe Geuzaine , Paavo Rasilo , Sebastian Schöps

In this work, we benchmark tensor hypercontraction (THC)-accelerated fully self-consistent $GW$ (sc$GW$) and vertex-corrected self-consistent $GW$ (sc$GW\Gamma$) methods for predicting molecular first ionization potentials (IPs). The vertex…

Strongly Correlated Electrons · Physics 2026-04-29 Munkhorgil Wang , Ming Wen , Pavel Pokhilko , Chia-Nan Yeh , Miguel A. Morales , Dominika Zgid

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,…

Plasma Physics · Physics 2025-11-14 Briggs Damman , Jarett LeVan , Scott Baalrud

Probing detailed spectral dependence of phonon transport properties in bulk materials is critical to improve the function and performance of structures and devices in a diverse spectrum of technologies. Currently, such information can only…

Materials Science · Physics 2015-12-23 Yanguang Zhou , Xiaoliang Zhang , Ming Hu

In many mechanical, electrical, and general physical systems evolving over time or space, spectral analysis methods as Fast Fourier Transform (FFT), Short Term Fourier Transform (STFT), Power Spectrum Density (PSD) plays a very important…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Andreas Tuor , Nico Canzani , Tobias Rüggeberg , Stefan Gorenflo , Gerd Simons , Bruno Bättig , Daniel Iseli

Atomistic simulations of heat transport in complex materials are costly and hard to converge. This has led to the development of several noise-reduction techniques applicable to equilibrium molecular-dynamics (MD) simulations. We analyze…

Materials Science · Physics 2025-11-19 Sandro Wieser , YuJie Cen , Georg K. H. Madsen , Jesús Carrete

Many important real-world applications, such as System Identification with Gaussian Processes, involve solving linear systems with symmetric positive-definite matrices. The iterative CG method and direct solvers based on the Cholesky…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Tim Thüring , Alexander Strack , Dirk Pflüger
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