Measures of critical exponents in the four dimensional site percolation
arXiv:hep-lat/9612024 · doi:10.1016/S0370-2693(97)00337-7
Abstract
Using finite-size scaling methods we measure the thermal and magnetic exponents of the site percolation in four dimensions, obtaining a value for the anomalous dimension very different from the results found in the literature. We also obtain the leading corrections-to-scaling exponent and, with great accuracy, the critical density.
13 pages, 2 postscript figures
Cited by in corpus (52)
- Percolation on complex networks: Theory and application
- Critical Behavior of the Three-Dimensional Ising Spin Glass
- Critical exponents of the three dimensional diluted Ising model
- Scaling corrections: site-percolation and Ising model in three dimensions
- Critical Exponents of the 3D Ising Universality Class From Finite Size Scaling With Standard and Improved Actions
- Universality in the three-dimensional random-field Ising model
- On the Phase Structure of the 3D Edwards Anderson Spin Glass
- A Monte Carlo study of leading order scaling corrections of phi^4 theory on a three dimensional lattice
- Five loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory
- Critical Percolation in High Dimensions
- Ising exponents in the two-dimensional site-diluted Ising model
- The four dimensional site-diluted Ising model: a finite-size scaling study
- Percolation Threshold, Fisher Exponent, and Shortest Path Exponent for 4 and 5 Dimensions
- Calculation of percolation thresholds in high dimensions for fcc, bcc, and diamond lattices
- Random walks on fractals and stretched exponential relaxation
- Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model
- Universality in the off-equilibrium critical dynamics of the diluted Ising model
- An investigation of site-bond percolation on many lattices
- From discrete to continuous percolation in dimensions 3 to 7
- Ferromagnetic phase transition for the spanning-forest model (q \to 0 limit of the Potts model) in three or more dimensions
- Variational Mean Field approach to the Double Exchange Model
- Tricritical directed percolation in 2+1 dimensions
- Finite Size Scaling and ``perfect'' actions: the three dimensional Ising model
- Site percolation on square and simple cubic lattices with extended neighborhoods and their continuum limit
- Simulation of percolation on massively-parallel computers
- Universal behavior of site and bond percolation thresholds on regular lattices with compact extended-range neighborhoods in 2 and 3 dimensions
- Bond percolation on simple cubic lattices with extended neighborhoods
- Long-range epidemic spreading with immunization
- Efficient space virtualisation for Hoshen--Kopelman algorithm
- Precise bond percolation thresholds on several four-dimensional lattices
- Logarithmic Corrections for Spin Glasses, Percolation and Lee-Yang Singularities in Six Dimensions
- A new test for random number generators: Schwinger-Dyson equations for the Ising model
- Finite-Size Effects in the Field Theory Above the Upper Critical Dimension
- Scaling of cluster heterogeneity in percolation transitions
- Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point
- Critical exponents and universal excess cluster number of percolation in four and five dimensions
- High-temperature series expansions for the -state Potts model on a hypercubic lattice and critical properties of percolation
- Monopole Percolation in the Compact Abelian Higgs Model
- -cluster correlations in four- and five-dimensional percolation
- Percolation of finite clusters and infinite surfaces
- Spin Glass Ordering in Diluted Magnetic Semiconductors: a Monte Carlo Study
- Universal Critical Wrapping Probabilities in the Canonical Ensemble
- Logarithmic corrections in (4+1)-dimensional directed percolation
- The Ising Spin Glass in dimension four
- Evidence for non-universal scaling in dimension four Ising spin glasses
- Surface and bulk criticality in midpoint percolation
- Crossover exponents, fractal dimensions and logarithms in Landau-Potts field theories
- Universal correlations in percolation
- Multiscaling in the 3D critical site-diluted Ising ferromagnet
- Finite-size scaling study of the d=4 site-diluted Ising
- Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions
- On the Universality Class of Monopole Percolation in Scalar QED