Dynamic critical phenomena in disordered systems with finite geometry

Details Dynamic critical phenomena in disordered systems with finite geometry Dynamic critical phenomena in disordered systems with finite geometry

2006-04-04

arxiv.org/abs/cond-mat/0604093v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

Major revisions were undertaken. The revised version was published in the Physical Review B [Phys. Rev. B 77 (2008) 184416]

Scientific paper

We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity of the upper critical dimension $d=4$, we derive in first order of $\epsilon$ 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.

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