# 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} }

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…

## 2 Citations

Extended Dynamical Equations of the Period Vectors of Crystals under Constant External Stress to Many-body Interactions

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Since crystals are made of periodic structures in space, predicting their three period vectors starting from any values based on the inside interactions is a basic theoretical physics problem. For…

A new equation for period vectors of crystals under external stress and temperature in statistical physics: mechanical equilibrium condition and equation of state

- PhysicsThe 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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