Autocorrelation Exponent of Conserved Spin Systems in the Scaling Regime Following a Critical Quench

Clément Sire
Phys. Rev. Lett. 93, 130602 – Published 20 September 2004

Abstract

We study the autocorrelation function of a conserved spin system following a quench at the critical temperature. Defining the correlation length L(t)t1/z, we find that for times t and t satisfying L(t)L(t)L(t)ϕ well inside the scaling regime, the spin autocorrelation function behaves like s(t)s(t)L(t)(d2+η)[L(t)/L(t)]λc. For the O(n) model in the n limit, we show that λc=d+2 and ϕ=z/2. We give a heuristic argument suggesting that this result is, in fact, valid for any dimension d and spin vector dimension n. We present numerical simulations for the conserved Ising model in d=1 and d=2, which are fully consistent with the present theory.

  • Figure
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  • Received 16 June 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.130602

©2004 American Physical Society

Authors & Affiliations

Clément Sire*

  • Laboratoire de Physique Théorique (UMR 5152 du CNRS), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France

  • *Electronic address: clement.sire@irsamc.ups-tlse.fr

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Vol. 93, Iss. 13 — 24 September 2004

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