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Pushing the limit of molecular dynamics with ab initio accuracy to 100 million atoms with machine learning

Published: 09 November 2020 Publication History
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  • Abstract

    For 35 years, ab initio molecular dynamics (AIMD) has been the method of choice for modeling complex atomistic phenomena from first principles. However, most AIMD applications are limited by computational cost to systems with thousands of atoms at most. We report that a machine learning-based simulation protocol (Deep Potential Molecular Dynamics), while retaining ab initio accuracy, can simulate more than 1 nanosecond-long trajectory of over 100 million atoms per day, using a highly optimized code (GPU DeePMD-kit) on the Summit supercomputer. Our code can efficiently scale up to the entire Summit supercomputer, attaining 91 PFLOPS in double precision (45.5% of the peak) and 162/275 PFLOPS in mixed-single/half precision. The great accomplishment of this work is that it opens the door to simulating unprecedented size and time scales with ab initio accuracy. It also poses new challenges to the next-generation supercomputer for a better integration of machine learning and physical modeling.

    References

    [1]
    D. Frenkel and B. Smit, Understanding molecular simulation. Orlando, FL, USA: Academic Press, 2001.
    [2]
    M. Tuckerman, Statistical mechanics: theory and molecular simulation. Oxford university press, 2010.
    [3]
    R. Car and M. Parrinello, "Unified approach for molecular dynamics and density-functional theory," Physical Review Letters, vol. 55, no. 22, p. 2471, 1985.
    [4]
    D. Marx and J. Hutter, Ab initio molecular dynamics: basic theory and advanced methods. Cambridge University Press, 2009.
    [5]
    P. Hohenberg and W. Kohn, "Inhomogeneous electron gas," Physical Review, vol. 136, p. 864B, 1964.
    [6]
    W. Kohn and L. J. Sham, "Self-consistent equations including exchange and correlation effects," Physical Review, vol. 140, no. 4A, p. A1133, 1965.
    [7]
    P. Carloni, U. Rothlisberger, and M. Parrinello, "The role and perspective of ab initio molecular dynamics in the study of biological systems," Accounts of Chemical Research, vol. 35, no. 6, pp. 455--464, 2002.
    [8]
    M. Aminpour, C. Montemagno, and J. A. Tuszynski, "An overview of molecular modeling for drug discovery with specific illustrative examples of applications," Molecules, vol. 24, no. 9, p. 1693, 2019.
    [9]
    K. Leung and S. B. Rempe, "Ab initio molecular dynamics study of glycine intramolecular proton transfer in water," The Journal of chemical physics, vol. 122, no. 18, p. 184506, 2005.
    [10]
    M. Chen, L. Zheng, B. Santra, H.-Y. Ko, R. A. DiStasio Jr, M. L. Klein, R. Car, and X. Wu, "Hydroxide diffuses slower than hydronium in water because its solvated structure inhibits correlated proton transfer," Nature chemistry, vol. 10, no. 4, pp. 413--419, 2018.
    [11]
    J.-Y. Raty, F. Gygi, and G. Galli, "Growth of carbon nanotubes on metal nanoparticles: a microscopic mechanism from ab initio molecular dynamics simulations," Physical review letters, vol. 95, no. 9, p. 096103, 2005.
    [12]
    F. Gygi, E. W. Draeger, M. Schulz, B. R. De Supinski, J. A. Gunnels, V. Austel, J. C. Sexton, F. Franchetti, S. Kral, C. W. Ueberhuber et al., "Large-scale electronic structure calculations of high-z metals on the bluegene/l platform," in Proceedings of the 2006 ACM/IEEE conference on Supercomputing. New York, United States: Association for Computing Machinery, 2006, pp. 45-es.
    [13]
    S. Das, P. Motamarri, V. Gavini, B. Turcksin, Y. W. Li, and B. Leback, "Fast, scalable and accurate finite-element based ab initio calculations using mixed precision computing: 46 pflops simulation of a metallic dislocation system," in Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis. New York, United States: Association for Computing Machinery, 2019, pp. 1--11.
    [14]
    L.-W. Wang, B. Lee, H. Shan, Z. Zhao, J. Meza, E. Strohmaier, and D. H. Bailey, "Linearly scaling 3d fragment method for large-scale electronic structure calculations," in SC'08: Proceedings of the 2008 ACM/IEEE Conference on Supercomputing. IEEE, 2008, pp. 1--10.
    [15]
    M. Eisenbach, C.-G. Zhou, D. M. Nicholson, G. Brown, J. Larkin, and T. C. Schulthess, "A scalable method for ab initio computation of free energies in nanoscale systems," in Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis. New York, United States: Association for Computing Machinery, 2009, pp. 1--8.
    [16]
    P. T. Różański and M. Zieliński, "Linear scaling approach for atomistic calculation of excitonic properties of 10-million-atom nanostructures," Physical Review B, vol. 94, no. 4, p. 045440, 2016.
    [17]
    A. Nakata, J. Baker, S. Mujahed, J. T. Poulton, S. Arapan, J. Lin, Z. Raza, S. Yadav, L. Truflandier, T. Miyazaki et al., "Large scale and linear scaling dft with the conquest code," arXiv preprint arXiv:2002.07704, 2020.
    [18]
    A. Nakano, R. K. Kalia, K.-i. Nomura, A. Sharma, P. Vashishta, F. Shimojo, A. C. van Duin, W. A. Goddard, R. Biswas, and D. Srivastava, "A divide-and-conquer/cellular-decomposition framework for million-to-billion atom simulations of chemical reactions," Computational Materials Science, vol. 38, no. 4, pp. 642--652, 2007.
    [19]
    X. Li, Z. Mo, J. Liu, and L. Guo, "Revealing chemical reactions of coal pyrolysis with gpu-enabled reaxff molecular dynamics and cheminformatics analysis," Molecular Simulation, vol. 41, no. 1--3, pp. 13--27, 2015.
    [20]
    R. Jorn, R. Kumar, D. P. Abraham, and G. A. Voth, "Atomistic modeling of the electrode-electrolyte interface in li-ion energy storage systems: electrolyte structuring," The Journal of Physical Chemistry C, vol. 117, no. 8, pp. 3747--3761, 2013.
    [21]
    J. Schiøtz, F. D. Di Tolla, and K. W. Jacobsen, "Softening of nanocrystalline metals at very small grain sizes," Nature, vol. 391, no. 6667, pp. 561--563, 1998.
    [22]
    J. Schiøtz and K. W. Jacobsen, "A maximum in the strength of nanocrystalline copper," Science, vol. 301, no. 5638, pp. 1357--1359, 2003.
    [23]
    F. Gao and W. J. Weber, "Atomic-scale simulation of 50 kev si displacement cascades in β-sic," Physical Review B, vol. 63, no. 5, p. 054101, 2000.
    [24]
    P. Vashishta, A. Nakano, R. K. Kalia, and I. Ebbsjö, "Crack propagation and fracture in ceramic films---million atom molecular dynamics simulations on parallel computers," Materials Science and Engineering: B, vol. 37, no. 1--3, pp. 56--71, 1996.
    [25]
    P. Vashishta, R. K. Kalia, and A. Nakano, "Large-scale atomistic simulations of dynamic fracture," Computing in science & engineering, vol. 1, no. 5, pp. 56--65, 1999.
    [26]
    A. Laio and M. Parrinello, "Escaping free-energy minima," Proceedings of the National Academy of Sciences, vol. 99, no. 20, pp. 12562--12566, 2002.
    [27]
    L. Zhang, H. Wang, and W. E, "Reinforced dynamics for enhanced sampling in large atomic and molecular systems," The Journal of Chemical Physics, vol. 148, no. 12, p. 124113, 2018.
    [28]
    G. D. Purvis III and R. J. Bartlett, "A full coupled-cluster singles and doubles model: The inclusion of disconnected triples," The Journal of Chemical Physics, vol. 76, no. 4, pp. 1910--1918, 1982.
    [29]
    A. C. Van Duin, S. Dasgupta, F. Lorant, and W. A. Goddard, "Reaxff: a reactive force field for hydrocarbons," The Journal of Physical Chemistry A, vol. 105, no. 41, pp. 9396--9409, 2001.
    [30]
    J. Wang, R. M. Wolf, J. W. Caldwell, P. A. Kollman, and D. A. Case, "Development and testing of a general amber force field," Journal of computational chemistry, vol. 25, no. 9, pp. 1157--1174, 2004.
    [31]
    B. R. Brooks, C. L. Brooks III, A. D. Mackerell Jr, L. Nilsson, R. J. Petrella, B. Roux, Y. Won, G. Archontis, C. Bartels, S. Boresch et al., "Charmm: the biomolecular simulation program," Journal of computational chemistry, vol. 30, no. 10, pp. 1545--1614, 2009.
    [32]
    B. Jelinek, S. Groh, M. F. Horstemeyer, J. Houze, S.-G. Kim, G. J. Wagner, A. Moitra, and M. I. Baskes, "Modified embedded atom method potential for al, si, mg, cu, and fe alloys," Physical Review B, vol. 85, no. 24, p. 245102, 2012.
    [33]
    T. P. Senftle, S. Hong, M. M. Islam, S. B. Kylasa, Y. Zheng, Y. K. Shin, C. Junkermeier, R. Engel-Herbert, M. J. Janik, H. M. Aktulga et al., "The reaxff reactive force-field: development, applications and future directions," npj Computational Materials, vol. 2, no. 1, pp. 1--14, 2016.
    [34]
    J. Behler and M. Parrinello, "Generalized neural-network representation of high-dimensional potential-energy surfaces," Physical Review Letters, vol. 98, no. 14, p. 146401, 2007.
    [35]
    A. P. Bartók, M. C. Payne, R. Kondor, and G. Csányi, "Gaussian approximation potentials: The accuracy of quantum mechanics, without the electrons," Physical Review Letters, vol. 104, no. 13, p. 136403, 2010.
    [36]
    S. Chmiela, A. Tkatchenko, H. E. Sauceda, I. Poltavsky, K. T. Schütt, and K.-R. Müller, "Machine learning of accurate energy-conserving molecular force fields," Science Advances, vol. 3, no. 5, p. e1603015, 2017.
    [37]
    K. Schutt, P.-J. Kindermans, H. E. S. Felix, S. Chmiela, A. Tkatchenko, and K.-R. Müller, "Schnet: A continuous-filter convolutional neural network for modeling quantum interactions," in Advances in Neural Information Processing Systems, 2017, pp. 992--1002.
    [38]
    J. S. Smith, O. Isayev, and A. E. Roitberg, "ANI-1: an extensible neural network potential with dft accuracy at force field computational cost," Chemical Science, vol. 8, no. 4, pp. 3192--3203, 2017.
    [39]
    J. Han, L. Zhang, R. Car, and W. E, "Deep potential: a general representation of a many-body potential energy surface," Communications in Computational Physics, vol. 23, no. 3, pp. 629--639, 2018.
    [40]
    L. Zhang, J. Han, H. Wang, R. Car, and W. E, "Deep potential molecular dynamics: A scalable model with the accuracy of quantum mechanics," Physical Review Letters, vol. 120, p. 143001, Apr 2018.
    [41]
    L. Zhang, J. Han, H. Wang, W. Saidi, R. Car, and W. E, "End-to-end symmetry preserving inter-atomic potential energy model for finite and extended systems," in Advances in Neural Information Processing Systems 31, S. Bengio, H. Wallach, H. Larochelle, K. Grauman, N. Cesa-Bianchi, and R. Garnett, Eds. Curran Associates, Inc., 2018, pp. 4441--4451.
    [42]
    A. R. Barron, "Universal approximation bounds for superpositions of a sigmoidal function," IEEE Transactions on Information theory, vol. 39, no. 3, pp. 930--945, 1993.
    [43]
    C. Ma, L. Wu, and W. E, "Machine learning from a continuous viewpoint," arXiv preprint arXiv:1912.12777, 2019.
    [44]
    L. Zhang, D.-Y. Lin, H. Wang, R. Car, and W. E, "Active learning of uniformly accurate interatomic potentials for materials simulation," Physical Review Materials, vol. 3, no. 2, p. 023804, 2019.
    [45]
    H. Wang, L. Zhang, J. Han, and W. E, "DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamics," Computer Physics Communications, vol. 228, pp. 178--184, 2018.
    [46]
    Y. Hasegawa, J.-I. Iwata, M. Tsuji, D. Takahashi, A. Oshiyama, K. Minami, T. Boku, F. Shoji, A. Uno, M. Kurokawa et al., "First-principles calculations of electron states of a silicon nanowire with 100,000 atoms on the k computer," in Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis. New York, United States: Association for Computing Machinery, 2011, pp. 1--11.
    [47]
    K. Lee, D. Yoo, W. Jeong, and S. Han, "Simple-nn: An efficient package for training and executing neural-network interatomic potentials," Computer Physics Communications, vol. 242, pp. 95--103, 2019.
    [48]
    A. Singraber, J. Behler, and C. Dellago, "Library-based lammps implementation of high-dimensional neural network potentials," Journal of chemical theory and computation, vol. 15, no. 3, pp. 1827--1840, 2019.
    [49]
    M. F. Calegari Andrade, H.-Y. Ko, L. Zhang, R. Car, and A. Selloni, "Free energy of proton transfer at the water-tio2 interface from ab initio deep potential molecular dynamics," Chem. Sci., vol. 11, pp. 2335--2341, 2020. [Online]. Available
    [50]
    J. Zeng, L. Cao, M. Xu, T. Zhu, and J. Z. Zhang, "Neural network based in silico simulation of combustion reactions," arXiv preprint arXiv:1911.12252, 2019.
    [51]
    W.-K. Chen, X.-Y. Liu, W.-H. Fang, P. O. Dral, and G. Cui, "Deep learning for nonadiabatic excited-state dynamics," The journal of physical chemistry letters, vol. 9, no. 23, pp. 6702--6708, 2018.
    [52]
    L. Zhang, M. Chen, X. Wu, H. Wang, W. E, and R. Car, "Deep neural network for the dielectric response of insulators," Phys. Rev. B, vol. 102, p. 041121, Jul 2020. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevB.102.041121
    [53]
    H.-Y. Ko, L. Zhang, B. Santra, H. Wang, W. E, R. A. DiStasio Jr, and R. Car, "Isotope effects in liquid water via deep potential molecular dynamics," Molecular Physics, vol. 117, no. 22, pp. 3269--3281, 2019.
    [54]
    F.-Z. Dai, B. Wen, Y. Sun, H. Xiang, and Y. Zhou, "Theoretical prediction on thermal and mechanical properties of high entropy (zr0. 2hf0. 2ti0. 2nb0. 2ta0. 2) c by deep learning potential," Journal of Materials Science & Technology, vol. 43, pp. 168--174, 2020.
    [55]
    A. Marcolongo, T. Binninger, F. Zipoli, and T. Laino, "Simulating diffusion properties of solid-state electrolytes via a neural network potential: Performance and training scheme," ChemSystemsChem, vol. 2, p. e1900031, 2019.
    [56]
    H. Wang, X. Guo, L. Zhang, H. Wang, and J. Xue, "Deep learning interatomic potential model for accurate irradiation damage simulations," Applied Physics Letters, vol. 114, no. 24, p. 244101, 2019.
    [57]
    Q. Liu, D. Lu, and M. Chen, "Structure and dynamics of warm dense aluminum: A molecular dynamics study with density functional theory and deep potential," Journal of Physics: Condensed Matter, vol. 32, no. 14, p. 144002, 2020.
    [58]
    L. Bourgeois, Y. Zhang, Z. Zhang, Y. Chen, and N. V. Medhekar, "Transforming solid-state precipitates via excess vacancies," Nature communications, vol. 11, no. 1, pp. 1--10, 2020.
    [59]
    H. Niu, L. Bonati, P. M. Piaggi, and M. Parrinello, "Ab initio phase diagram and nucleation of gallium," Nature Communications, vol. 11, no. 1, pp. 1--9, 2020.
    [60]
    A. P. Bartók, R. Kondor, and G. Csányi, "On representing chemical environments," Physical Review B, vol. 87, no. 18, p. 184115, 2013.
    [61]
    "Quantum mechanics and interatomic potentials," https://github.com/libAtoms/QUIP, Accessed: 2020-03-03.
    [62]
    A. Khorshidi and A. A. Peterson, "Amp: A modular approach to machine learning in atomistic simulations," Computer Physics Communications, vol. 207, pp. 310--324, 2016.
    [63]
    K. Yao, J. E. Herr, D. W. Toth, R. Mckintyre, and J. Parkhill, "The tensormol-0.1 model chemistry: a neural network augmented with long-range physics," Chemical science, vol. 9, no. 8, pp. 2261--2269, 2018.
    [64]
    A. S. Abbott, J. M. Turney, B. Zhang, D. G. Smith, D. Altarawy, and H. F. Schaefer, "Pes-learn: An open-source software package for the automated generation of machine learning models of molecular potential energy surfaces," Journal of Chemical Theory and Computation, vol. 15, no. 8, pp. 4386--4398, 2019.
    [65]
    S. Plimpton, "Fast parallel algorithms for short-range molecular dynamics," Journal of Computational Physics, vol. 117, no. 1, pp. 1--19, 1995.
    [66]
    M. Abadi, P. Barham, J. Chen, Z. Chen, A. Davis, J. Dean, M. Devin, S. Ghemawat, G. Irving, M. Isard, M. Kudlur, J. Levenberg, R. Monga, S. Moore, D. G. Murray, B. Steiner, P. Tucker, V. Vasudevan, P. Warden, M. Wicke, Y. Yu, and X. Zheng, "Tensorflow: A system for large-scale machine learning," in 12th USENIX Symposium on Operating Systems Design and Implementation (OSDI 16). Savannah, GA: USENIX Association, Nov. 2016, pp. 265--283. [Online]. Available: https://www.usenix.org/conference/osdi16/technical-sessions/presentation/abadi
    [67]
    R. A. DiStasio Jr., B. Santra, Z. Li, X. Wu, and R. Car, "The individual and collective effects of exact exchange and dispersion interactions on the ab initio structure of liquid water," J. Chem. Phys., vol. 141, p. 084502, Aug. 2014.
    [68]
    M. Chen, H.-Y. Ko, R. C. Remsing, M. F. C. Andrade, B. Santra, Z. Sun, A. Selloni, R. Car, M. L. Klein, J. P. Perdew, and X. Wu, "Ab initio theory and modeling of water," Proc. Natl. Acad. Sci. U.S.A., vol. 114, pp. 10846--10851, Sep. 2017.
    [69]
    G. M. Sommers, M. F. Calegari Andrade, L. Zhang, H. Wang, and R. Car, "Raman spectrum and polarizability of liquid water from deep neural networks," Phys. Chem. Chem. Phys., vol. 22, pp. 10592--10602, 2020. [Online]. Available
    [70]
    Y. Zhang, H. Wang, W. Chen, J. Zeng, L. Zhang, H. Wang, and W. E, "Dp-gen: A concurrent learning platform for the generation of reliable deep learning based potential energy models," Computer Physics Communications, p. 107206, 2020.
    [71]
    https://www.top500.org, June 2020 (accessed 2020-08-01).
    [72]
    S. Markidis, S. W. Der Chien, E. Laure, I. B. Peng, and J. S. Vetter, "Nvidia tensor core programmability, performance & precision," in 2018 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2018, pp. 522--531.
    [73]
    H. Jónsson and H. C. Andersen, "Icosahedral ordering in the lennard-jones liquid and glass," Physical review letters, vol. 60, no. 22, p. 2295, 1988.
    [74]
    A. S. Clarke and H. Jónsson, "Structural changes accompanying densification of random hard-sphere packings," Phys. Rev. E, vol. 47, pp. 3975--3984, Jun 1993. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevE.47.3975
    [75]
    A. C. Lund, T. Nieh, and C. Schuh, "Tension/compression strength asymmetry in a simulated nanocrystalline metal," Physical Review B, vol. 69, no. 1, p. 012101, 2004.

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        SC '20: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis
        November 2020
        1454 pages
        ISBN:9781728199986

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        Published: 09 November 2020

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        1. ab initio molecular dynamics
        2. GPU
        3. deep potential molecular dynamics
        4. heterogeneous architecture
        5. machine learning
        6. summit

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