Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-02-06
Physics
Condensed Matter
Soft Condensed Matter
13 pages, 4 figures proceedings of 5th IDMRCS, Lille, France, July 2005
Scientific paper
10.1016/j.jnoncrysol.2006.02.149
The experimental fact that relaxation times, tau, of supercooled liquids and polymers are uniquely defined by the quantity TV^g, where T is temperature, V specific volume, and g a material constant, leads to a number of interpretations and predictions concerning the dynamics of vitrification. Herein we examine means to determine the scaling exponent g apart from the usual superpositioning of relaxation data. If the intermolecular potential can be approximated by an inverse power law, as implied by the TV^g scaling, various equations are derived relating g to the Gruneisen parameter and to a common expression for the pressure derivative of the glass temperature. In addition, without assumptions, g can be obtained directly from pressure-volume-temperature data. These methods for determining g from molecular or thermodynamic properties are useful because they enable the P- and V-dependences of tau to be obtained, and thereby various analyses of the dynamics to be explored, without the need to carry out relaxation measurements beyond ambient pressure.
Casalini R.
Feldman Joseph L.
Roland Michael C.
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