Onuki-Doi theory

The Onuki-Doi Theory of Form Birefringence and Dichroism 75 which, when compared with (4.83), gives the result that... 

In section 4.7, the Onuki-Doi theory for form birefringence and dichroism was developed and presented in equations (4.91) and (4.92). It is left to calculate the structure factor, S (q), as a function of flow. This was done in the limit of weak oscillatory flow for the... 

More recently, the Onuki-Doi theory has been experimentally verified for the problem of flow-induced enhancement of concentration fluctuations in polymer solutions [60]. This problem is explored in greater detail in section 7.1.7. A similar verification has been achieved in the problem of electric field induced enhancement of fluctuations [61]. 

A. Onuki and M. Doi, Flow birefringence and dichroism of polymers. I. General theory and application to the dilute case, J. Chem. Phys., 85,1190 (1986). 

The first steps toward such a theory of blend flow behavior were proposed by Helfand and Fredrickson [1989], then by Doi and Onuki [1992]. A greatly simplified constitutive equation for immiscible 1 1 mixture of two Newtonian fluids having the same viscosity and density was also derived [Doi and Ohta, 1991]. The derivation considered time evolution of the area and orientation of the interface in flow, as well as the interfacial tension effects. The relation predicted scaling behavior for the stress and the velocity gradient tensors ... 

Doi Edwards theory Doi Ohta theory Doi Onuki theory Domain size... 

Recently, Doi and Onuki [12] have derived the following kinetic equations including the dynamic coupling between stress and composition, on the basis of the two-fluid model [10], as an extension of the original idea of Brochard and de Gennes [5]. The essential point is that the stress in polymer systems is supported by polymer chains, and, thus, a gradient in the stress causes a net force on the chains and leads to the motion of the chains relative to the solvent. The theory is applicable to both polymer... 

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