Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model

Abstract

Single-time and two-time correlators are computed exactly in the $1D$ Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length $N$, using a simple analytical continuation technique. Besides the general confirmation of finite-size scaling in non-equilibrium dynamics, this allows to test the scaling behaviour of the plateau height $C_{\infty }^{(2)}$ to which the two-time auto-correlator converges, when deep into the finite-size regime.

Latex2e, 29 pp, 5 figures; in memoriam Ralph Kenna

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Cited by in corpus (6)

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• Critical ageing correlators from Schrödinger-invariance
• Asymptotics of the Humbert functions ${\Psi }_1$ and ${\Psi }_2$
• Harnessing finite-size effects to gauge aging in the $2D$ Ising model
• Exact solution of the Glauber-Ising model on the finite-length semi-open chain
• Schrödinger-invariance in the voter model