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Potts–Percolation–Gauss Model Of A Solid, Miron Kaufman, H T. Diep

Miron Kaufman

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.