2015年12月

# Estimates of Critical Quantities from an Expansion in Mass: Ising Model on the Simple Cubic Lattice

BRAZILIAN JOURNAL OF PHYSICS

45
6

584

603

DOI
10.1007/s13538-015-0353-8

SPRINGER

In the Ising model on the simple cubic lattice, we describe the inverse temperature beta and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass M. The critical behaviors of those quantities are represented by the linear differential equations with constant coefficients which are related to critical exponents. We estimate the critical temperature and exponents via an expansion in the inverse powers of the mass under the use of delta-expansion. The critical inverse temperature beta(c) is estimated first in unbiased manner and then critical exponents are also estimated in biased and unbiased self-contained way including omega, the correction-to-scaling exponent, nu, eta, and gamma.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1007/s13538-015-0353-8
Web of Science