Characterization of the Melting Transition in Two Dimensions at Vanishing External Pressure Using Molecular Dynamics Simulations

Autor: Asenjo, Daniel, Lund, Fernando, Poblete, Simón, Soto, Rodrigo, Sotomayor, Marcos
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.83.174110
Popis: A molecular dynamics study of a two dimensional system of particles interacting through a Lennard-Jones pairwise potential is performed at fixed temperature and vanishing external pressure. As the temperature is increased, a solid-to-liquid transition occurs. When the melting temperature $T_c$ is approached from below, there is a proliferation of dislocation pairs and the elastic constant approaches the value predicted by the KTHNY theory. In addition, as $T_c$ is approached from above, the relaxation time increases, consistent with an approach to criticality. However, simulations fail to produce a stable hexatic phase using systems with up to 90,000 particles. A significant jump in enthalpy at $T_c$ is observed, consistent with either a first order or a continuous transition. The role of external pressure is discussed.
Comment: 7 pages, 7 figures
Databáze: arXiv