104 citations · 1.2k across the 61 of their papers we have counts for
5 papers · 1 filter
The two-dimensional 4-state Potts model in a magnetic field
Bertrand Berche, Paolo Butera, Lev Shchur
We present a solution of the non-linear renormalization group equations leading to the dominant and subdominant singular behaviours of physical quantities (free energy density, cor…
On the quality of random number generators with taps
Lev N. Shchur
Recent exact analytical results developed for the random number generators with taps are reported. These results are applicable to a wide class of algorithms, including random walk…
The RANLUX generator: resonances in a random walk test
Lev N. Shchur, Paolo Butera
Using a recently proposed directed random walk test, we systematically investigate the popular random number generator RANLUX developed by Luescher and implemented by James. We con…
Critical region of the random bond Ising model
Andrei L. Talapov, Lev N. Shchur
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…
Critical Point Correlation Function for the 2D Random Bond Ising Model
Andrei L. Talapov, Lev N. Shchur
High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found…