Extrapolation-CAM Theory for Critical Exponents

Details Extrapolation-CAM Theory for Critical Exponents Extrapolation-CAM Theory for Critical Exponents

1997-03-26

arxiv.org/abs/cond-mat/9703222v2

J. Phys. A: Math. Gen. 30 (1997) 6299-6311

Physics

Condensed Matter

Statistical Mechanics

21 pages, Submitted to Journal of Physics A; new section added discussing rate of convergence and relation to Finite-Size Scal

Scientific paper

10.1088/0305-4470/30/18/013

By intentionally underestimating the rate of convergence of exact-diagonalization values for the mass or energy gaps of finite systems, we form families of sequences of gap estimates. The gap estimates cross zero with generically nonzero linear terms in their Taylor expansions, so that $\nu = 1$ for each member of these sequences of estimates. Thus, the Coherent Anomaly Method can be used to determine $\nu$. Our freedom in deciding exactly how to underestimate the convergence allows us to choose the sequence that displays the clearest coherent anomaly. We demonstrate this approach on the two-dimensional ferromagnetic Ising model, for which $\nu = 1$. We also use it on the three-dimensional ferromagnetic Ising model, finding $\nu \approx 0.629$, in good agreement with other estimates.

Affiliated with

Also associated with

No associations

Rating

Extrapolation-CAM Theory for Critical Exponents 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 Extrapolation-CAM Theory for Critical Exponents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extrapolation-CAM Theory for Critical Exponents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327952