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A stochastic Hamiltonian formulation applied to dissipative particle dynamics

Author

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  • Peng, Linyu
  • Arai, Noriyoshi
  • Yasuoka, Kenji

Abstract

In this paper, a stochastic Hamiltonian formulation (SHF) is proposed and applied to dissipative particle dynamics (DPD) simulations. As an extension of Hamiltonian dynamics to stochastic dissipative systems, the SHF provides necessary foundations and great convenience for constructing efficient numerical integrators. As a first attempt, we develop the Störmer–Verlet type of schemes based on the SHF, which are structure-preserving for deterministic Hamiltonian systems without external forces, the dissipative forces in DPD. Long-time behaviour of the schemes is shown numerically by studying the damped Kubo oscillator. In particular, the proposed schemes include the conventional Groot–Warren’s modified velocity-Verlet method and a modified version of Gibson–Chen–Chynoweth as special cases. The schemes are applied to DPD simulations and analysed numerically.

Suggested Citation

  • Peng, Linyu & Arai, Noriyoshi & Yasuoka, Kenji, 2022. "A stochastic Hamiltonian formulation applied to dissipative particle dynamics," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002107
    DOI: 10.1016/j.amc.2022.127126
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    References listed on IDEAS

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    1. Liang Pan & Fan Wang & Yuan Cheng & Wan Ru Leow & Yong-Wei Zhang & Ming Wang & Pingqiang Cai & Baohua Ji & Dechang Li & Xiaodong Chen, 2020. "A supertough electro-tendon based on spider silk composites," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    2. J. B. Gibson & K. Chen & S. Chynoweth, 1999. "The Equilibrium Of A Velocity-Verlet Type Algorithm For Dpd With Finite Time Steps," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 241-261.
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