Dynamic critical phenomena in disordered systems with finite geometry
H. Chamati, E. Korutcheva
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 Tc 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 ε 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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