2006/02/06 by C. M. Roland, J. L. Feldman, Jack L. Feldman +1 · 44 citations
Chemical Engineering · Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Chemical physics #Chemistry #Computational chemistry #Dynamics (music) #Intermolecular force #Material Dynamics and Properties #Mathematics #Molecular dynamics #Molecule #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Scaling #Statistical physics #Thermodynamic properties of mixtures #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1016/j.jnoncrysol.2006.02.149
published in Journal of Non-Crystalline Solids 352(42-49), 4895-4899 (Elsevier BV) · 13 pages, 4 figures proceedings of 5th IDMRCS, Lille, France, July 2005
arxiv created 2006/02/06 · openalex publication_date 2006/08/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The experimental fact that relaxation times, tau, of supercooled liquids and polymers are uniquely defined by the quantity TVg, 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 TVg 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.