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Dynamic critical phenomena in disordered systems with finite geometry

H. Chamati·E. Korutcheva
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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 $T_c$ 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 $ε$ 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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H. Chamati, E. Korutcheva. 2011-12-20. Dynamic critical phenomena in disordered systems with finite geometry. https://doi.org/10.1103/physrevb.77.184416

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