Non-equilibrium relaxations: ageing and finite-size effects

Abstract

The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through the exact solution of the kinetic spherical model, quenched to below the critical temperature, in $2<d<4$ dimensions.

arXiv comment1+21 pp, Latex 2e, 3 figures included

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Cited by in corpus (6)

• Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model
• Physical ageing from generalised time-translation-invariance
• Numerical exploration of the Aging effects in spin systems
• Correlators in phase-ordering from Schrödinger-invariance
• 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