8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

P7.74Thu 811:10-14:00Two dimensional melting in monolayers with repulsiveinverse power law interactionsMartial Mazars 11 Laboratoire de Physique Théorique, Université Paris-Sud 11 and CNRS, Campusd’Orsay, Bment 210 91405, ORSAY, FranceThe melting of crystal phases in two-dimensional systems has been the subject of a large amountof theoretical, numerical and experimental works. Several mecanisms to describe the melting intwo-dimensional, including, in particular, the KTHNY theory and the melting induced by formationof grains boundaries, have been proposed. There are strong evidences that the melting in twodimensions depends crucially on the form and range of the interaction potentials between particles.In this contribution, we present preliminary results on the melting in two dimensions for a particularclass of long range interaction potentials: the inverse power law interactions, as V η (r) =Q 2 (σ/r) η . Based on the Ewald methods for inverse power law interactions [1, 2], we study themelting of crystal phases as function of the power η.The results presented agree with results obtained earlier and recently for hard disks systems [3]and Coulomb systems [4].The phase diagram of the monolayer is strongly dependent on η; in particular, re-entrance of fluidand hexatic phases can be observed as η is increased from 0 (ideal gas) to ∞ (hard disks systems).[1] M. Mazars, J. Phys. A: Math. Theor. , 43, 425002 (2010).[2] M. Mazars, Physics Reports, vol. 500, pp. 43-116 (2011).[3] E. P. Bernard and W. Krauth, Cond-Mat : arXiv:1102. 4094 (2011).[4] B. K. Clark, M. Casula, and D. M. Ceperley, Phys. Rev. Lett. , 103, 055701 (2009).74