6533b82dfe1ef96bd1291474
RESEARCH PRODUCT
Single-cluster Monte Carlo study of the Ising model on two-dimensional random lattices.
Ramon VillanovaMohammad KatootWolfhard Jankesubject
PhysicsCritical phenomenaQuantum Monte CarloHigh Energy Physics - Lattice (hep-lat)Condensed Matter (cond-mat)FOS: Physical sciencesSquare-lattice Ising modelCondensed MatterHybrid Monte CarloHigh Energy Physics - LatticeIsing modelMonte Carlo method in statistical physicsStatistical physicsCritical exponentMonte Carlo molecular modelingdescription
We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices with up to 80,000 sites which are linked together according to the Voronoi/Delaunay prescription. In one set of simulations we use reweighting techniques and finite-size scaling analysis to investigate the critical properties of the model in the very vicinity of the phase transition. In the other set of simulations we study the approach to criticality in the disordered phase, making use of improved estimators for measurements. From both sets of simulations we obtain clear evidence that the critical exponents 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 |
|---|---|---|---|---|
| 1994-04-01 | Physical review. B, Condensed matter |