On the Lindemann criterion in 2D
Department of Pure and Applied Physics,
The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland
Accepted: 27 January 1998
Molecular-dynamics simulations suggest that in 2D screened Coulomb solids melt when the r.m.s. displacement of particles in local co-ordinate systems exceeds of the lattice period, close to the Lindemann criterion in 3D. This criterion is over-estimated in the co-operative motion model, but under-estimated in the Einstein model, because during melting a 2D solid is a mixture of both ordered and disordered phases.
PACS: 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 64.60.Ht – Dynamic critical phenomena / 64.70.Dv – Solid-liquid transitions
© EDP Sciences, 1998