# Lees-Edwards boundary conditions

**Lees-Edwards boundary conditions** are an adaptation of standard periodic boundary conditions for molecular dynamics simulations of shear flow ^{[1]}. These boundary conditions provide a shear by giving each periodic domain a velocity proportional to the domain's vertical position compared to the center domain. Lees-Edwards BCs typically generate a simple shear flow velocity profile where the local average velocity (within the center periodic domain) is directly proportion to the vertical position. (v_x is directly proportional to y)

## References[edit]

**Related reading**

- Couette Flow and Shear Viscosity, in Denis J. Evans and Gary P. Morriss "Statistical Mechanics of Nonequilibrium Liquids" ANU E Press (2007) ISBN 9780521857918
- Sanjeev R. Rastogi and Norman J. Wagner "A parallel algorithm for Lees-Edwards boundary conditions", Parallel Computing
**22**pp. 895-901 (1996) - Hideki Kobayashi and Ryoichi Yamamoto "Implementation of Lees–Edwards periodic boundary conditions for direct numerical simulations of particle dispersions under shear flow", Journal of Chemical Physics
**134**064110 (2011)