Critical Exponents of the 3-d Ising Model
نویسندگان
چکیده
We present a status report on the ongoing analysis of the 3D Ising model with nearest-neighbor interactions using the Monte Carlo Renormalization Group (MCRG) and finite size scaling (FSS) methods on 64, 128, and 256 simple cubic lattices. Our MCRG estimates are K nn = 0.221655(1)(1) and ν = 0.625(1). The FSS results for K are consistent with those from MCRG but the value of ν is not. Our best estimate η = 0.025(6) covers the spread in the MCRG and FSS values. A surprise of our calculation is the estimate ω ≈ 0.7 for the correction-to-scaling exponent. We also present results for the renormalized coupling gR along the MCRG flow and argue that the data support the validity of hyperscaling for the 3D Ising model.
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تاریخ انتشار 1996