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Higher-order correlation functions of the planar Ising model II

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  • Bariev, R.Z.

Abstract

We compute exactly the many-point correlation functions formed by arbitrary number of spins, disorder variables, fermion operators, energy-density operators and components of the stress tensor for the planar Ising model in the absence of a magnetic field for T < Tc and T > Tc. It is shown that these correlation functions near the critical point have a scaling form. The scaling functions have been obtained as an expansion suitable for studying large distances between points. The asymptotic behaviour of the scaling correlation functions for distances R ↫ ξ (where ξ is the correlation radius) is determined.

Suggested Citation

  • Bariev, R.Z., 1978. "Higher-order correlation functions of the planar Ising model II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 354-384.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:3:p:354-384
    DOI: 10.1016/0378-4371(78)90161-9
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    1. Karin Peschel, 1975. "Integration And The Spatial Distribution Of Economic Activity," Papers in Regional Science, Wiley Blackwell, vol. 34(1), pages 27-42, January.
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