Low-Temperature Series Expansions for the Spin-1 Ising Model

Details Low-Temperature Series Expansions for the Spin-1 Ising Model Low-Temperature Series Expansions for the Spin-1 Ising Model

1994-10-10

arxiv.org/abs/hep-lat/9410005v1

J.Phys.A27:6987-7006,1994

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages (+7 uuencoded postscript figures), LaTeX

Scientific paper

10.1088/0305-4470/27/21/014

The finite lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the spin-1 Ising model on the square lattice. A new formalism is described that uses two distinct transfer matrix approaches in order to significantly reduce computer memory requirements and which permits the derivation of the series to 79th order. Subsequent analysis of the series clearly confirms that the spin-1 model has the same dominant critical exponents as the spin-$\frac{1}{2}$ Ising model. Accurate estimates for both the critical temperature and non-physical singularities are obtained. In addition, evidence for a non-analytic confluent correction with exponent $\Delta_{1} = 1.1 \pm 0.1$ is found.

Affiliated with

Also associated with

No associations

Rating

Low-Temperature Series Expansions for the Spin-1 Ising Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Low-Temperature Series Expansions for the Spin-1 Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-Temperature Series Expansions for the Spin-1 Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656784