0000000000699463

AUTHOR

Ramon Villanova

showing 4 related works from this author

Ising Spins on 3D Random Lattices

1999

We perform single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices of Voronoi/Delaunay type with up to 128 000 sites. For each lattice size quenched averages are computed over 96 realizations. From a finite-size scaling analysis we obtain strong evidence that the critical exponents coincide with those on regular cubic lattices.

PhysicsDelaunay triangulationLattice sizeHigh Energy Physics::LatticeMonte Carlo methodIsing modelStatistical physicsType (model theory)Voronoi diagramCritical exponentScaling
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Single-cluster Monte Carlo study of the Ising model on two-dimensional random lattices.

1994

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 latti…

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 modelingPhysical review. B, Condensed matter
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Ising model universality for two-dimensional lattices

1993

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.

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 exponentPhysics Letters B
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Three-Dimensional 3-State Potts Model Revisited With New Techniques

1997

We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations are governed `only' by exponentially small terms. In these quantities no asymptotic power series in the inverse volume are involved which complicate the finite-size scaling behaviour of standard observables related to the specific-heat maxima or Binder-parameter minima. Introduced initially for strong first-order phase transitions in q-state Potts models with ``large enough'' q, the new techniques prove to be surprisingly accurate for a q value as small …

PhysicsNuclear and High Energy PhysicsPhase transitionSeries (mathematics)High Energy Physics - Lattice (hep-lat)InverseFOS: Physical sciencesObservableMaxima and minimaHigh Energy Physics - LatticeStatistical physicsMaximaScalingPotts model
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