Download Advances In Polymer Science Vol 125: STATISTICAL MECHANICS, by R.B. Bird, S.V. Bronnikov, C.F. Curtiss, S.Y. Frenkel, N. PDF

By R.B. Bird, S.V. Bronnikov, C.F. Curtiss, S.Y. Frenkel, N. Hiramatsu, K. Matsushige, H. Okabe, V.I. Vettegren

This article examines advances in polymer technology, overlaying the parts of statistical mechanics, deformation and ultrasonic spectroscopy.

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Read or Download Advances In Polymer Science Vol 125: STATISTICAL MECHANICS, DEFORMATION, ULTRASONIC SPECTROSCOPY (Advances in Polymer Science) PDF

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Extra resources for Advances In Polymer Science Vol 125: STATISTICAL MECHANICS, DEFORMATION, ULTRASONIC SPECTROSCOPY (Advances in Polymer Science)

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9)). The time constants are then determined from experimental data on rheological properties, such as viscosity, complex viscosity, or normal stresses. F. B. 8) Here, k is the Boltzmann constant, and u~ is the same function as defined in Eq. 7), but with all the r~ replaced by r,. "~ From the definition, Eq. 8), and Eq. 9) where now u~ is a function of the arguments of "P~. In Eq. 5) an expression for the Brownian force acting on a bead was given. In order to use this expression, some proposal has to be made for evaluating the momentum-space averages.

4 The Intermolecular Contribution to the Heat-Flux Vector From Eq. 16) we get the intermolecular contribution to the heat flux vector (that is, the terms for which cti ~ flj), which can be transformed by using Eq. ~dR~pdQ dQ =v •F z f f f (R: m". )]]'" ~ " ~,p dR,. q~a)) _ (V-in

3 The I n t r a m o l e c u l a r C o n t r i b u t i o n to the S t r e s s Tensor The intramolecular contribution to the source term is, from Eq. 13) 35 Statistical M e c h a n i c s of T r a n s p o r t P h e n o m e n a Application of Eqs. 11) then gives: S@) = E~Z~ ~ F ~ ) ~ ( r - R~, Q~, t)dQ ~ (7. l , = 0. The second term can be identified as - [V. n(~')]. Therefore -~-~ll~V(~)~tP:~,-tr - ~R~, Q , t)d~dQ ~ Id*) = ~ R , , F , , ~P,(r, Q , t)dQ" + ... e. the intramolecular force contribution.

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