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Universal amplitudes of power-law tails in the asymptotic structure factor of systems with topological defects

A. J. Bray and K. Humayun

  • Department of Theoretical Physics, University of Manchester, Manchester M13 9PL, England

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Phys. Rev. E 47, R9(R) – Published 1 January, 1993

DOI: https://doi.org/10.1103/PhysRevE.47.R9

Abstract

We compute the asymptotic structure factor S(k,t) of the O(n) model for n≤d, where d and n are the dimensions of space and of the order parameter, respectively. Topological defects in the field lead to the power-law tail S(k,t)=A(n,d)ρ(t)k−(d+n), where ρ is the defect density. The amplitude A(n,d) is calculated exactly using purely geometrical arguments based on the defect field.

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References (22)

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Outline

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Phys. Rev. E 47, R9(R)– Published 1 January, 1993
  • Received 18 September 1992

© 1993 American Physical Society

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