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3D Ising Model with Improved Scaling Behaviour

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arxiv cond-mat/9804186 v1 pith:GZ7A7U6L submitted 1998-04-17 cond-mat.stat-mech hep-lat

classification cond-mat.stat-mechhep-lat
keywords modelratioscalinguniversalableantiperiodicbehaviourbinder
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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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  1. Critical fluid dynamics in two and three dimensions

    nucl-th 2024-11 conditional novelty 6.0 of 10

    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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