Power-Series CAM Theory

Abstract

A new method to estimate critical exponents is proposed based on power-series expansions and the basic idea of the coherent-anomaly method (CAM). The coherent anomalies of physical quantities such as the susceptibility, χ 0 , can be obtained by studying the zero for the first N polynomials of the power-series of the inverse of the relevant physical quantity, and by studying its critical coefficicnt near the zero point. The critical exponents are estimated on the basis of the general CAM theory. The Pade approximants are also combined with the CAM theory to estimate fractional critical exponents.