Condensed Matter Physics, 2023, vol. 26, No. 1, 13501
DOI:10.5488/CMP.26.13501           arXiv:2211.03657

Title: Non-equilibrium relaxations: ageing and finite-size effects
Author(s):
  M. Henkel (Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, B.P. 70239, F -- 54506 Vandœuvre lès Nancy Cedex, France; Centro de Física Teórica e Computacional, Universidade de Lisboa, Campo Grande, P--1749-016 Lisboa, Portugal)

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.

Key words: phase transitions, finite-size scaling, dynamic critical phenomena, ageing, exactly solvable models


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