Semi-analytical solution for the generalized absorbing boundary condition in molecular dynamics simulations

Chung Shuo Lee, Yan Yu Chen, Chi Hua Yu, Yu Chuan Hsu, Chuin Shan Chen

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1 Citation (Scopus)

Abstract

We present a semi-analytical solution of a time-history kernel for the generalized absorbing boundary condition in molecular dynamics (MD) simulations. To facilitate the kernel derivation, the concept of virtual atoms in real space that can conform with an arbitrary boundary in an arbitrary lattice is adopted. The generalized Langevin equation is regularized using eigenvalue decomposition and, consequently, an analytical expression of an inverse Laplace transform is obtained. With construction of dynamical matrices in the virtual domain, a semi-analytical form of the time-history kernel functions for an arbitrary boundary in an arbitrary lattice can be found. The time-history kernel functions for different crystal lattices are derived to show the generality of the proposed method. Non-equilibrium MD simulations in a triangular lattice with and without the absorbing boundary condition are conducted to demonstrate the validity of the solution.

Original languageEnglish
Pages (from-to)23-37
Number of pages15
JournalComputational Mechanics
Volume60
Issue number1
DOIs
Publication statusPublished - 2017 Jul 1

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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