Nonlocal van der Waals density functional made faster

Fuente: arXiv
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Main Author: Laikov, Dimitri N.
Format: Preprint
Published: 2025
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author Laikov, Dimitri N.
author_facet Laikov, Dimitri N.
contents A simplification of the VV10 van der Waals density functional [J. Chem. Phys. 133, 244103 (2010)] is made by an approximation of the integrand of the six-dimentional integral in terms of a few products of three-dimensional density-like distributions and potential-like functions of the interelectronic distance only, opening the way for its straightforward computation by fast multipole methods. An even faster computational scheme for molecular systems is implemented where the density-like distributions are fitted by linear combinations of usual atom-centered basis functions of Gaussian type and the six-dimensional integral is then computed analytically, at a fraction of the overall cost of a typical calculation. The simplicity of the new approximation is commensurate with that of the original VV10 functional, and the same level of accuracy is seen in tests on molecules.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04169
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlocal van der Waals density functional made faster
Laikov, Dimitri N.
Chemical Physics
A simplification of the VV10 van der Waals density functional [J. Chem. Phys. 133, 244103 (2010)] is made by an approximation of the integrand of the six-dimentional integral in terms of a few products of three-dimensional density-like distributions and potential-like functions of the interelectronic distance only, opening the way for its straightforward computation by fast multipole methods. An even faster computational scheme for molecular systems is implemented where the density-like distributions are fitted by linear combinations of usual atom-centered basis functions of Gaussian type and the six-dimensional integral is then computed analytically, at a fraction of the overall cost of a typical calculation. The simplicity of the new approximation is commensurate with that of the original VV10 functional, and the same level of accuracy is seen in tests on molecules.
title Nonlocal van der Waals density functional made faster
topic Chemical Physics
url https://arxiv.org/abs/2511.04169