Finite-Size Effects on Critical Diffusion and Relaxation Towards Metastable Equilibrium

Details Finite-Size Effects on Critical Diffusion and Relaxation Towards Metastable Equilibrium Finite-Size Effects on Critical Diffusion and Relaxation Towards Metastable Equilibrium

1998-02-19

arxiv.org/abs/cond-mat/9802206v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, REVTeX, 2 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevE.58.R1179

We present the first analytic study of finite-size effects on critical diffusion above and below T_c 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 T_c. Two new universal dynamic amplitude ratios at T_c are predicted and quantitative predictions of dynamic finite-size scaling functions are given that can be tested by Monte-Carlo simulations.

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