Anomalous Asymptotic of Small-Angle Neutron Scattering Intensity
An anomalous asymptotic dependence of the small-angle neutron scattering intensity I(Q), when I(Q) increases infinitely as Q → 0, has been studied. This behavior is shown to be associated with the presence of the random field of a scattering density, whose typical linear size is much larger than the reciprocal magnitude of Q. In the considered case, the sought asymptotic dependence is found to have the form I(Q) ∼ Q−3
P. Debye, Selected Works (Nauka, Moscow, 1987) (in Russian).
L.A. Feigin and D.I. Svergun, Structure Analysis by SmallAngle X-Ray and Neutron Scattering (Plenum Press, New York, 1987).
M.V. Avdeev and V.L. Aksenov, Usp. Fiz. Nauk 180, 1109 (2010).
V.V. Runov and V.N. Skorobagatykh, Fiz. Tverd. Tela 56, 68 (2014).
T.V. Khamova and O.A. Shilova, Fiz. Tverd. Tela 56, 107 (2014).
W. Kecs and P.P. Teodorescu, Applications of the Theory of Distributions in Mechanics (Acad. RSR, Bucharest, 1970) (in Romanian).
L.D. Landau and E.M. Lifshitz, Quantum Mechanics. NonRelativistic Theory (Pergamon Press, New York, 1977).
K.O. Chalyi, L.A. Bulavin, and O.V. Chalyi, Zh. Fiz. Dosl. 9, 66 (2005).