Potts-Percolation-Gauss Model of a Solid

Miron Kaufman (1) , H. T. Diep (2)

1 Department of Physics [Cleveland)
2 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

We study a statistical mechanics model of a solid. Neighboring atoms are connected by Hookian “springs”. If the energy is larger than a threshold the “spring” is more likely to fail, while if the energy is lower than the threshold the spring is more likely to be alive. The phase diagram and thermodynamic quantities, such as free energy, numbers of bonds and clusters, and their fluctuations, are determined using renormalization-group and Monte-Carlo techniques.

Mots clés: Model of Solids; Migdal-Kadanoff Transformation; Potts Model; Phase Transition; Percolation; Monte Carlo Simulation

Domaines: Mécanique statistique [cond-mat.stat-mech]

Miron Kaufman, H. T. Diep. Potts-Percolation-Gauss Model of a Solid. 2007. ⟨hal-00187213⟩