English

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

Statistical Mechanics 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9802206,
  title  = {Finite-Size Effects on Critical Diffusion and Relaxation Towards Metastable Equilibrium},
  author = {Wolfgang Koch and Volker Dohm},
  journal= {arXiv preprint arXiv:cond-mat/9802206},
  year   = {2009}
}

Comments

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