6533b838fe1ef96bd12a470d
RESEARCH PRODUCT
Ising model universality for two-dimensional lattices
Mohammad KatootRamon VillanovaRamon VillanovaWolfhard Jankesubject
PhysicsNuclear and High Energy PhysicsDelaunay triangulationHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Monte Carlo methodFOS: Physical sciencesUniversality (dynamical systems)High Energy Physics - LatticeCriticalityLattice (order)Ising modelStatistical physicsScalingCritical exponentdescription
We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices of Delaunay type with up to 80\,000 sites. By applying reweighting techniques and finite-size scaling analyses to time-series data near criticality, we obtain unambiguous support that the critical exponents for the random lattice agree with the exactly known exponents for regular lattices, i.e., that (lattice) universality holds for the two-dimensional Ising model.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-10-25 | Physics Letters B |