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A probabilistic view on finite-size scaling in infinitely coordinated spherical models

Author

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  • Brankov, J.G.
  • Danchev, D.M.

Abstract

It is shown that the finite-size scaling functions of the infinitely coordinated spherical model are closely related to the limit probability distribution of a triangular array of properly normalized block spin variables. The triangular array is defined with the aid of a two- parameter family of Gibbs distributions which approach the critical point together with the increase of the size of the system.

Suggested Citation

  • Brankov, J.G. & Danchev, D.M., 1989. "A probabilistic view on finite-size scaling in infinitely coordinated spherical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(3), pages 842-863.
    • Handle: RePEc:eee:phsmap:v:158:y:1989:i:3:p:842-863
    DOI: 10.1016/0378-4371(89)90494-9
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    Cited by:

    1. Brankov, J.G., 1990. "Finite-size effects in the approximating Hamiltonian method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 1035-1054.

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