Free volume and stochastic theory of volume relaxation

Authors

  • Robert Simha,

    Corresponding author
    1. Department of Macromolecular Science and Engineering, Case Western Reserve University,Cleveland, Ohio 44106-7202
    • Department of Macromolecular Science and Engineering, Case Western Reserve University,Cleveland, Ohio 44106-7202
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  • Richard E. Roberston

    1. Department of Materials Science & Engineering, The University of Michigan,Ann Arbor, Michigan 48109-2136
    2. Macromolecular Science and Engineering Program, The University of Michigan,Ann Arbor, Michigan 48109-2136
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Abstract

The stochastic theory of volume relaxation previously applied to the physical aging process in the glassy state of polymers had been formulated as a discrete set of coupled differential equations for the time-dependent, discrete free volume state probabilities. A reformulation of this theory for a continuum of free volume states is described in the present article. The result is a Schrödinger-like equation, which has the advantage of an extensive availability of numerical procedures for its solution under various conditions. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 44: 2663–2666, 2006

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