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  Stress and heat flux via automatic differentiation

Langer, M. F., Frank, J. T., & Knoop, F. (2023). Stress and heat flux via automatic differentiation. The Journal of Chemical Physics, 159(17): 174105. doi:10.1063/5.0155760.

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2305.01401.pdf (Preprint), 622KB
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 Creators:
Langer, Marcel Florin1, Author           
Frank, J. Thorben, Author
Knoop, Florian, Author
Affiliations:
1NOMAD, Fritz Haber Institute, Max Planck Society, ou_3253022              

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Free keywords: Condensed Matter, Materials Science, cond-mat.mtrl-sci,Computer Science, Learning, cs.LG, Physics, Computational Physics, physics.comp-ph
 Abstract: Machine-learning potentials provide computationally efficient and accurate approximations of the Born-Oppenheimer potential energy surface. This potential determines many materials properties and simulation techniques usually require its gradients, in particular forces and stress for molecular dynamics, and heat flux for thermal transport properties. Recently developed potentials feature high body order and can include equivariant semi-local interactions through message-passing mechanisms. Due to their complex functional forms, they rely on automatic differentiation (AD), overcoming the need for manual implementations or finite-difference schemes to evaluate gradients. This study demonstrates a unified AD approach to obtain forces, stress, and heat flux for such potentials, and provides a model-independent implementation. The method is tested on the Lennard-Jones potential, and then applied to predict cohesive properties and thermal conductivity of tin selenide using an equivariant message-passing neural network potential.

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Language(s): eng - English
 Dates: 2023-05-022023-04-232023-09-252023-11-032023-11-07
 Publication Status: Issued
 Pages: 12
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2305.01401
DOI: 10.1063/5.0155760
 Degree: -

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Project name : TEC1p - Big-Data Analytics for the Thermal and Electrical Conductivity of Materials from First Principles
Grant ID : 740233
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: The Journal of Chemical Physics
  Abbreviation : J. Chem. Phys.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Institute of Physics
Pages: 12 Volume / Issue: 159 (17) Sequence Number: 174105 Start / End Page: - Identifier: ISSN: 0021-9606
CoNE: https://pure.mpg.de/cone/journals/resource/954922836226