Potts-Percolation-Gauss Model of a Solid

Abstract

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.

10 pages, 12 figures

References in corpus (3)

• Inverted Berezinskii-Kosterlitz-Thouless Singularity and High-Temperature Algebraic Order in an Ising Model on a Scale-Free Hierarchical-Lattice Small-World Network
• Percolation in Hierarchical Scale-Free Nets
• Phase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of Hierarchical Models

Cited by in corpus (5)

• Quenched-Vacancy Induced Spin-Glass Order
• Equation of State from Potts-Percolation Model of a Solid
• Extended Defects in the Potts-Percolation Model of a Solid: Renormalization Group and Monte Carlo Analysis
• Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
• Critical Percolation Phase and Thermal BKT Transition in a Scale-Free Network with Short-Range and Long-Range Random Bonds