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References
SHOWING 1-10 OF 42 REFERENCES
Scaling and Renormalization in Statistical Physics
- Physics
- 1996
This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory,…
Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
- Physics
- 2000
By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations.…
Efficient Monte Carlo algorithm and high-precision results for percolation.
- MathematicsPhysical review letters
- 2000
A new Monte Carlo algorithm is presented that is able to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond occupation probabilities from zero to one in a single run which takes an amount of time scaling linearly with the number of sites on the lattice.
Introduction To Percolation Theory
- Physics
- 1985
Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in…
SURFACE TENSION IN POTTS MODELS AND PERCOLATION
- Physics
- 1985
The Kasteleyn-Fortuin relation (1969) is used to give a simple proof for the s-state Potts model of the relation beta sigma xi =1 between the correlation length in a particular direction on a planar…