Light Scattering Near Phase Transitions by H.Z. CUMMINS and A.P. LEVANYUK (Eds.)

By H.Z. CUMMINS and A.P. LEVANYUK (Eds.)

Because the improvement of the laser within the early 1960's, gentle scattering has performed an more and more the most important position within the research of many sorts of section transitions and the broadcast paintings during this box is now broadly dispersed in a lot of books and journals. A complete evaluate of up to date theoretical and experimental study during this box is gifted the following. The experiences are written via authors who've actively contributed to the advancements that experience taken position in either japanese and Western nations

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Coupling of Cy with other variables may be also essential but only as far as the fluctuations in these variables are connected with those in ηα. Fluctuations in the parameters ηα manifest themselves in light scattering in different ways depending on the coupling between εϋ and τ/α, which is deter- Theory of light scattering in ideal crystals 47 mined, in turn, by the crystal symmetry and the transformation properties of the parameters ηα. Let us discuss first the possibility of a linear coupling between ε0- and ηα.

However, for τ > 0, it follows from symmetry requirements that B'(T; ku k2, k3) = 0 for kx = k2 = k3 = 0. Therefore when calculating for τ > 0 the long-wavelength (small q) fluctuations (which are the most interesting for light scattering) the third-order terms m a y be neglected. We have (Levanyuk 1959, 1976) < k 2( * ) | 2> = T^ÇjΣ ~^; Α xA~l(k; T)A~\k Τ)Λ ~\k-q;T) + q; T)A~\k'- T)A'l(kf -q\T). (78) In the approximation corresponding to the L a n d a u theory (and in the absence of long-range forces), A(k\ T) = A + Dk2, A = Α0τ9 D= const, and Β is independent of k and τ.

1) by minimization with respect to v. F o r the equilibrium value of the deformation ν0(η) at a given fixed value of η one thus obtains = = dv ν,(η)=-^η2. (45) After substituting this expression in (43) we find that in eq. (1) the coefficient Β is B = Bx-r2\2K. (46) So, the values of the coefficient Β in a "free" (p = 0) and " c l a m p e d " (v = 0) crystal differ by the quantity r2/2K. The expression (31) for fluctuations ((Δη)2) then still holds (as is seen from eq. (39)) if in eq. , one calculates the derivative φηη not at a constant volume deformation ν but at a constant (zero) pressure.

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