Computer studies of dislocation properties using two-dimensional model systems

The physical properties of dislocations are investigated by means of a two-dimensional Lennard-Jones solid. Using a self consistent linear theory for the elastic properties of two-dimensional systems, analytic expressions for the energy and entropy of a dislocation in the center of a circular finite model are derived. The energy and entropy formulas are compared with the results of molecular dynamics calculations on the model. The resulting atomic structure of the dislocation core is compared with the structure of bubble raft dislocations and with the results of earlier computer calculations.