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Phys. Rev. E 58, R1179–R1182 (1998)

Finite-size effects on critical diffusion and relaxation towards metastable equilibrium

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W. Koch and V. Dohm
Institut für Theoretische Physik, Technische Hochschule Aachen, D-52056 Aachen, Germany

Received 6 February 1998; published in the issue dated August 1998

We present an analytic study of finite-size effects on critical diffusion above and below Tc of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size relaxation time that governs the critical order-parameter relaxation towards a metastable equilibrium state below Tc. Two universal dynamic amplitude ratios at Tc are predicted and quantitative predictions of dynamic finite-size scaling functions are given that can be tested by Monte Carlo simulations.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.58.R1179
DOI:
10.1103/PhysRevE.58.R1179
PACS:
64.60.Ht, 75.40.Gb, 75.40.Mg