Abstract
A field-theoretic approach is applied to describe behavior of weakly disordered, isotropic elastic compressible systems with long-range interactions directly in the three-dimensional space for various values of the long-range interaction parameter a. A renormalization-group procedure is applied separately for a > 2 and a ≤ 2 directly in the three-dimensional space. Renormalization-group equations are analyzed in the two-loop approximation, and critical and tricritical points are determined. It is shown that long-range effects are not important when a ≤ 2, whereas they play a key role in the opposite case of a > 2. Critical exponents characterizing the system are obtained for various values of the long-range interaction parameter. Behavior of homogeneous and disordered systems characterized by two fluctuating order parameters is also described.
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Translated from Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 127, No. 5, 2005, pp. 1075–1090.
Original Russian Text Copyright © 2005 by Belim.
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Belim, S.V. Effects of long-range interaction on critical and multicritical behavior of compressible disordered systems. J. Exp. Theor. Phys. 100, 949–963 (2005). https://doi.org/10.1134/1.1947318
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DOI: https://doi.org/10.1134/1.1947318