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Thermodynamic integration by neural network potentials based on first-principles dynamic calculations
Author(s) -
Shogo Fukushima,
Eisaku Ushijima,
Hiroyuki Kumazoe,
Akihide Koura,
Fuyuki Shimojo,
Kohei Shimamura,
Masaaki Misawa,
Rajiv K. Kalia,
Aiichiro Nakano,
Priya Vashishta
Publication year - 2019
Publication title -
physical review. b./physical review. b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.78
H-Index - 465
eISSN - 2469-9969
pISSN - 2469-9950
DOI - 10.1103/physrevb.100.214108
Subject(s) - thermodynamic integration , artificial neural network , molecular dynamics , rubidium , materials science , statistical physics , function (biology) , numerical integration , interatomic potential , computer science , thermodynamics , physics , machine learning , quantum mechanics , mathematics , mathematical analysis , potassium , evolutionary biology , metallurgy , biology
Simulation-size effect in evaluating the melting temperature of material is studied systematically by combining thermodynamic integration (TI) based on first-principles molecular-dynamics (FPMD) simulations and machine learning. Since the numerical integration to determine the free energies of two different phases as a function of temperature is very time consuming, the FPMD-based TI method has only been applied to small systems, i.e., less than 100 atoms. To accelerate the numerical integration, we here construct an interatomic potential based on the artificial neural-network (ANN) method, which retains the first-principles accuracy at a significantly lower computational cost. The free energies of the solid and liquid phases of rubidium are accurately obtained by the ANN potential, where its weight parameters are optimized to reproduce FPMD results. The ANN results reveal a significant size dependence up to 500 atoms.

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