Theories of polymer dynamics

Theories of dynamics for polymer systems, which can range from neat polymers to reactive filled polymer composites, require a combined discussion of the dynamics of suspensions, polymer solutions and polymer melts. However, prior to this discussion, one should give a brief introduction to rheological terminology. (For a detailed introduction to rheological 

Steady-state shear rheology typically involves characterizing the polymer s response to steady shearing flows in terms of the steady shear viscosity (tj), which is defined by the ratio of shear stress (a) to shearing rate y ). The steady shear viscosity is thus a measure of resistance to steady shearing deformation. Other characteristics such as normal stresses (Ai and N2) and yield stresses (ffy) are discussed in further detail in Chapter 3. 

Dynamic shear rheology involves measuring the resistance to dynamic oscillatory flows. Dynamic moduli such as the storage (or solid-like) modulus (G ), the loss (or fluid-like) modulus (G ), the loss tangent (tan 8 = G IG ) and the complex viscosity ( / ) can all be used to characterize deformation resistance to dynamic oscillation of a sinusoidally imposed deformation with a characteristic frequency of oscillation (o). 

Transient shear flows involve examining the shear stress and viscosity response to a time-dependent shear. The stress build up at the start of steady flow ( 7+) and at the cessation of steady flow (a ) and the stress decay (ff(0) after a dynamic instantaneous impulse of deformation strain (y) can be used to characterize transient rheological behaviour. 

Elongational behaviour under steady and transient conditions can also be characterized, and more information is provided in Chapter 3. This short introduction to rheology should provide enough background for further interpretation of polymer-dynamic theories of suspensions, polymer solutions and polymer melts. 

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Doi M and Edwards S F 1986 The Theory of Polymer Dynamics (Oxford Clarendon)... 

Doi, M. and Edwards, S.F., The Theory of Polymer Dynamics. Clarendon Press, Oxford, 1986. 

Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon Press, Oxford, chapters 4 5... 

LANGEVIN THEORY OF POLYMER DYNAMICS IN DILUTE SOLUTION ... 

Langevin Theory of Polymer Dynamics in Dilute Solution (Zwanzig) Large Tunnelling Corrections in Chemical Reaction Rates (Johnston) Lattices, Linear, Reversible Kinetics on, with Neighbor Effects... 

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