3D Poissonian random lattices with Ising spin systems

✍ Scribed by W. Janke; R. Villanova

• Book ID: 104109009
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 34 KB
• Volume: 121-122
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/s0010-4655(06)70075-3

✦ Synopsis

We perform an extensive study of the Ising model on three-dimensional (3D) random lattices of Voronoi/Delaunay type for which it is well known that the specific-heat exponent t~pure ~ 0.1 of the pure model is positive. According to the Harris criterion [1] one would, therefore, expect that quenched randomness is a relevant perturbation for tiffs model. In our singlecluster Monte Carlo simulations the lattice sizes vary in powers of two from N --= L 3 = 2 000 ,~-12.63 to N = 128 000 -~ 50.43. 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.