Accurate estimate of <i>ν</i> for the three-dimensional Ising model from a numerical measurement of its partition function

Gyan Bhanot; Román Salvador; Steve Black; Paul Carter; Raúl Toral

doi:10.1103/PhysRevLett.59.803

Accurate estimate of ν for the three-dimensional Ising model from a numerical measurement of its partition function

Gyan Bhanot, Román Salvador, Steve Black, Paul Carter, and Raúl Toral

Phys. Rev. Lett. 59, 803 – Published 17 August 1987

Abstract

We give results from an accurate determination of the partition function of the three-dimensional Ising model on lattices of size up to $10^{3}$ . We compute the two complex zeros of Z closest to the real temperature axis. From a finite-size scaling analysis of these, we get the estimates ν=0.6295(10) for the correlation-length exponent and φ=52.2(7) for the angle between the first two zeros and the real u= $e^{- 4 β}$ axis.

Received 14 May 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.803

Authors & Affiliations

Gyan Bhanot and Román Salvador

Physics Department and Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida 32306
Physics Department, University of California at San Diego, La Jolla, California 92093

Steve Black