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Article
Potts-Percolation-Gauss Model of a Solid
Journal of Physics: Condensed Matter
  • Miron Kaufman, Cleveland State University
  • H. T. Diep, Université de Cergy-Pontoise
Document Type
Article
Publication Date
2-20-2008
Disciplines
Abstract

We study a statistical mechanics model of a solid. Neighboring atoms are connected by Hookean 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 survive. 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.

DOI
10.1088/0953-8984/20/7/075222
Citation Information
Kaufman, M., , & Diep, H. T. (2008). Potts–percolation–Gauss model of a solid. Journal of Physics: Condensed Matter, 20(7), 075222-075222.