Critical region of the random bond Ising model

Details Critical region of the random bond Ising model Critical region of the random bond Ising model

1994-04-20

arxiv.org/abs/hep-lat/9404011v1

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 16 figures (674 KB) by request to authors: talapov@pib1.physik.uni-bonn.de or shchur@cpd.landau.free.net, LITP-94/CP

Scientific paper

10.1088/0953-8984/6/40/020

We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures, where both finite size corrections and corrections to scaling are small. High accuracy data unambiguously show increase of magnetization and magnetic susceptibility effective exponents $\beta$ and $\gamma$, caused by impurities. The $M$ and $\chi$ singularities became more sharp, while the specific heat singularity is smoothed. The specific heat is found to be in a good agreement with Dotsenko-Dotsenko theoretical predictions in the whole critical range of temperatures.

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