Abstract
Basic physical concepts and limitations of current approaches to the theoretical description of the composition dependence of heat conductivity of microheterogeneous polymer materials (MHM) are reviewed. All “pragmatic” approaches (i.e., those assuming the existence of a infinitely thin, “mathematical” interface between the components) fail to account explicitly for salient structural features of MHM such as the onset of an “infinite” cluster of a disperse component at the percolation threshold, and the transition of a portion of a continuous component into a structurally different “boundary interphase” (BI). Among the “physical” approaches, it is apparently the Step-by-Step-Averaging (SSA) model which accounts simultaneously for both cited structural features of MHM. The SSA model was shown to provide a quantitative description of the experimental data available by an appropriate choice of relevant BI parameters (i.e., thickness and “partial” heat conductivity): at the present stage, however, the numerical values of the latter should be considered as fitting variables, rather than true material properties of BI.
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In the present context, the term “structureless” simply implies absence of macrodefects in both components (e.g., cracks between impinged spherulites in semi-crystalline polymers, or polymer-free voids between filler particles in filled polymers), perfect adhesion on the interface between components being assumed
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Hence, Δr is, in fact, not so much an intrinsic property of each combination of two components, as rather an “effective parameter”, the numerical value of which will also heavily depend on the sensitivity and accuracy of the experimental technique used to measure the property of interest.
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Privalko, V.P., Novikov, V.V. (1995). Model treatments of the heat conductivity of heterogeneous polymers. In: Thermal and Electrical Conductivity of Polymer Materials. Advances in Polymer Science, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021280
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