Dynamic critical phenomena in disordered systems with finite geometry
Disordered Systems and Neural Networks
2015-06-25 v3
Abstract
We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random model A for the critical dynamics and the renormalization group method in the vicinity of the upper critical dimension , we derive in first order of the expression for the relaxation time. Its finite-size scaling behavior is discussed both analytically and numerically in details. This was made possible by analyzing carefully the finite--size effects on the Onsager kinetic coefficient. The obtained results are compared to those reported in the literature.
Cite
@article{arxiv.cond-mat/0604093,
title = {Dynamic critical phenomena in disordered systems with finite geometry},
author = {H. Chamati and E. Korutcheva},
journal= {arXiv preprint arXiv:cond-mat/0604093},
year = {2015}
}
Comments
Major revisions were undertaken. The revised version was published in the Physical Review B [Phys. Rev. B 77 (2008) 184416]