Direct test of defect mediated laser induced melting theory for two dimensional solids
Abstract
We investigate by direct numerical solution of appropriate renormalization flow equations, the validity of a recent dislocation unbinding theory for laser induced freezing/melting in two dimensions. The bare elastic moduli and dislocation fugacities which are inputs to the flow equations are obtained for three different 2-d systems (hard disk, inverse power and the Derjaguin-Landau-Verwey-Overbeek potentials) from a restricted Monte Carlo simulation sampling only configurations {\em without} dislocations. We conclude that (a) the flow equations need to be correct at least up to third order in defect fugacity to reproduce meaningful results, (b) there is excellent quantitative agreement between our results and earlier conventional Monte Carlo simulations for the hard disk system and (c) while the qualitative form of the phase diagram is reproduced for systems with soft potentials there is some quantitative discrepancy which we explain.
Keywords
Cite
@article{arxiv.cond-mat/0508514,
title = {Direct test of defect mediated laser induced melting theory for two dimensional solids},
author = {Debasish Chaudhuri and Surajit Sengupta},
journal= {arXiv preprint arXiv:cond-mat/0508514},
year = {2009}
}
Comments
11 pages, 14 figures, submitted to Phys. Rev. E