The high-temperature specific heat exponent of the 3-d Ising model

TL;DR

This paper extends the high-temperature susceptibility series for the 3D Ising model to order 26, providing a precise estimate of the specific heat exponent alpha.

Contribution

It presents an extended series analysis leading to a more accurate determination of the critical exponent alpha for the 3D Ising model.

Findings

Alpha estimated as 0.101 ± 0.004

Extended series improves critical exponent accuracy

Supports theoretical predictions of critical behavior

Abstract

We have extended the high-temperature susceptibility series of the three-dimensional spin-1\2 Ising model to v**26. Analysis of the new series gives alpha = 0.101 +- 0.004.