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Improving the Performance of Hybrid Functional-Based Molecular Dynamics Simulation through Screening of Hartree–Fock Exchange Forces
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    Improving the Performance of Hybrid Functional-Based Molecular Dynamics Simulation through Screening of Hartree–Fock Exchange Forces
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    Department of Physics and Astronomy, University College London, London WC1E 6BT, U.K.
    Pacific Northwest National Laboratory, Richland, Washington 99354, United States
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    Journal of Chemical Theory and Computation

    Cite this: J. Chem. Theory Comput. 2017, 13, 5, 2178–2184
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    https://doi.org/10.1021/acs.jctc.6b01121
    Published March 28, 2017
    Copyright © 2017 American Chemical Society

    Abstract

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    Density functional theory-based molecular dynamics calculations of condensed phase systems often benefit from the use of hybrid functionals. However, their use is computationally very demanding and severely limits the system size and time scale that can be simulated. Several methods have been introduced to accelerate hybrid functional molecular dynamics including Schwarz screening and the auxiliary density matrix method (ADMM). Here we present a simple screening scheme that can be applied in addition to these methods. It works by examining Hartree–Fock exchange (HFX) integrals and subsequently excluding those that contribute very little to any nuclear force component. The resultant force error is corrected by a history-dependent extrapolation scheme. We find that for systems where the calculation of HFX forces is a major bottleneck, a large fraction of the integrals can be neglected without introducing significant errors in the nuclear forces. For instance, for a 2 × 2 × 2 unit cell of CoO, 92% of the HFX integrals that have passed Schwarz screening within the ADMM approach can be neglected leading to a performance gain of a factor of 3 at a negligible error in nuclear forces (≤5 × 10–4 H bohr–1). We also show that total energy conservation and solvation structures are not adversely affected by the screening method.

    Copyright © 2017 American Chemical Society

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    The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.jctc.6b01121.

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    This article is cited by 9 publications.

    1. Ritama Kar, Sagarmoy Mandal, Vaishali Thakkur, Bernd Meyer, Nisanth N. Nair. Speeding-up Hybrid Functional-Based Ab Initio Molecular Dynamics Using Multiple Time-stepping and Resonance-Free Thermostat. Journal of Chemical Theory and Computation 2023, 19 (22) , 8351-8364. https://doi.org/10.1021/acs.jctc.3c00964
    2. Bhaskar Rana, John M. Herbert. Hidden Hemibonding in the Aqueous Hydroxyl Radical. The Journal of Physical Chemistry Letters 2021, 12 (33) , 8053-8060. https://doi.org/10.1021/acs.jpclett.1c02283
    3. Sagarmoy Mandal, Vaishali Thakkur, Nisanth N. Nair. Achieving an Order of Magnitude Speedup in Hybrid-Functional- and Plane-Wave-Based Ab Initio Molecular Dynamics: Applications to Proton-Transfer Reactions in Enzymes and in Solution. Journal of Chemical Theory and Computation 2021, 17 (4) , 2244-2255. https://doi.org/10.1021/acs.jctc.1c00009
    4. Sagarmoy Mandal, Ritama Kar, Tobias Klöffel, Bernd Meyer, Nisanth N. Nair. Improving the scaling and performance of multiple time stepping‐based molecular dynamics with hybrid density functionals. Journal of Computational Chemistry 2022, 43 (9) , 588-597. https://doi.org/10.1002/jcc.26816
    5. Guido Falk von Rudorff. Arbitrarily accurate quantum alchemy. The Journal of Chemical Physics 2021, 155 (22) https://doi.org/10.1063/5.0073941
    6. Bhaskar Rana, John M. Herbert. Role of hemibonding in the structure and ultraviolet spectroscopy of the aqueous hydroxyl radical. Physical Chemistry Chemical Physics 2020, 22 (47) , 27829-27844. https://doi.org/10.1039/D0CP05216G
    7. Christina Apostolidou. Vibrational Spectra of the OH Radical in Water: Ab Initio Molecular Dynamics Simulations and Quantum Chemical Calculations Using Hybrid Functionals. Advanced Theory and Simulations 2020, 3 (12) https://doi.org/10.1002/adts.202000174
    8. Sagarmoy Mandal, Nisanth N. Nair. Speeding-up ab initio molecular dynamics with hybrid functionals using adaptively compressed exchange operator based multiple timestepping. The Journal of Chemical Physics 2019, 151 (15) https://doi.org/10.1063/1.5125422
    9. Christina Apostolidou. OH radical in water from ab initio molecular dynamics simulation employing hybrid functionals. The Journal of Chemical Physics 2019, 151 (6) https://doi.org/10.1063/1.5107479

    Journal of Chemical Theory and Computation

    Cite this: J. Chem. Theory Comput. 2017, 13, 5, 2178–2184
    Click to copy citationCitation copied!
    https://doi.org/10.1021/acs.jctc.6b01121
    Published March 28, 2017
    Copyright © 2017 American Chemical Society

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