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.

1+21 pp, Latex 2e, 3 figures included

References in corpus (6)

• Fisher's scaling relation above the upper critical dimension
• On the Slowing Down of Spin Glass Correlation Length Growth:simulations meet experiments
• Geometric explanation of anomalous finite-size scaling in high dimensions
• Kinetics of the long-range spherical model
• Finite-size effects in the spherical model of finite thickness
• Universal dynamics of mitochondrial networks: a finite-size scaling analysis

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