Dynamical equations for the period vectors in a periodic system under constant external stress1

@article{Liu2015DynamicalEF,
  title={Dynamical equations for the period vectors in a periodic system under constant external stress1},
  author={Gang Liu},
  journal={Canadian Journal of Physics},
  year={2015},
  volume={93},
  pages={974-978}
}
  • Gang Liu
  • Published 16 September 2002
  • Physics
  • Canadian Journal of Physics
The purpose of this paper is to derive the dynamical equations for the period vectors of a periodic system under constant external stress. The explicit starting point is Newton’s second law applied to halves of the system. Later statistics over indistinguishable translated states and forces associated with transport of momentum are applied to the resulting dynamical equations. In the final expressions, the period vectors are driven by the imbalance between internal and external stresses. The… 
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Extended Dynamical Equations of the Period Vectors of Crystals under Constant External Stress to Many-body Interactions
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  • Gang Liu
  • Physics
    The European Physical Journal Plus
  • 2021
Starting with the rigorous derivation of the work done on the center cell by external forces, a new equation is derived for the period vectors (cell edge vectors) in crystals under external stress…

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