6533b82cfe1ef96bd128f383

RESEARCH PRODUCT

Ising Spins on 3D Random Lattices

Ramon VillanovaWolfhard Janke

subject

PhysicsDelaunay triangulationLattice sizeHigh Energy Physics::LatticeMonte Carlo methodIsing modelStatistical physicsType (model theory)Voronoi diagramCritical exponentScaling

description

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.

https://doi.org/10.1007/978-3-642-60095-1_3