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Hyperscaling and universality in 3 dimensions

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  • Nickel, Bernie

Abstract

A brief discussion of the relationships between critical exponents known as hyperscaling, and the universality of amplitudes at the critical point in 3 dimensions is given. Numerical evidence for hyperscaling based on series analysis of Ising models is reviewed with special emphasis on the assumptions underlying the various methods of analysis. Revised critical exponent estimates based on a preliminary analysis of recently extended series on the body-centered cubic lattice are presented.

Suggested Citation

  • Nickel, Bernie, 1981. "Hyperscaling and universality in 3 dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 48-58.
    • Handle: RePEc:eee:phsmap:v:106:y:1981:i:1:p:48-58
    DOI: 10.1016/0378-4371(81)90205-3
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