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Statistical mechanics of transport phenomena: Polymeric liquid mixtures

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Statistical Mechanics Deformation Ultrasonic Spectroscopy

Part of the book series: Advances in Polymer Science ((POLYMER,volume 125))

Abstract

A summary is given of the kinetic theory of flexible macromolecules, represented by bead-spring models of arbitrary connectivity. The formal theory is applicable to polydisperse systems, multicomponent mixtures, dilute or concentrated solutions, and fluids with concentration, temperature, and/or velocity gradients. Formal expressions are given for the momentum-flux (stress) tensor, the mass-flux vector, and the heat-flux vector; these can be combined with stochastic simulations to solve problems in rheology, diffusion, and heat conduction. Care is taken to point out where empiricisms are introduced, so that these can be modified or eliminated in the future. Other topics included are: the equation of change for angular momentum, the elastic terms in the equation of change for energy, the effect of velocity gradients on thermal conduction, the uniqueness of the molecular expression for the stress tensor, the relation between the mass flux and the stress tensor, thermal diffusion, and the Onsager receiprocal relations.

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Authors
  1. C. F. Curtiss
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  2. R. Byron Bird
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© 1996 Springer-Verlag

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Curtiss, C.F., Byron Bird, R. (1996). Statistical mechanics of transport phenomena: Polymeric liquid mixtures. In: Statistical Mechanics Deformation Ultrasonic Spectroscopy. Advances in Polymer Science, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071155

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  • DOI: https://doi.org/10.1007/BFb0071155

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60483-9

  • Online ISBN: 978-3-540-47673-3

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