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3D Ising Model with Improved Scaling Behaviour
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We present results from the simulation of a two-coupling spin-1 model with states 0,+1,-1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our estimates for the critical exponents are nu= 0.6299(3) and eta = 0.0359(10). For the Binder cumulant related universal ratio we obtain Q= 0.6240(2). The universal ratio of partition functions with antiperiodic/periodic boundary conditions, respectively, is Z_a/Z_p = 0.5425(2).
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Critical fluid dynamics in two and three dimensions
Direct numerical simulations of stochastic model H give a dynamic critical exponent z ≈ 3 in 3D and z ≈ 2 in 2D, with a crossover from mean-field z = 4 controlled by the renormalized shear viscosity.
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