Publications

The relationship between polymer mobility and potential energy

Adolf, Douglas B.; Budzien, Joanne L.

The WLF equation is typically used to describe the dependence of polymer mobility on temperature at atmospheric pressure. Tests at different pressures would at least require different WLF parameterization. Completely different tests, for example, probing the temperature dependence of mobility at constant density, would require even greater modifications. By performing molecular dynamics simulations on simple chain molecules equilibrated at different thermodynamic states, we have shown that the mobility depends in a more general sense on the potential energy density of the system. That is, mobilities for any equilibrated state collapse onto one master curve when plotted against the potential energy density. Moreover, this relationship can be fit by either a 'generalized' WLF equation or by a power-law relationship observed in critical phenomena. When this mobility relationship is used within a rheologically simple, thermodynamically consistent, viscoelastic framework, quantitative agreement is seen between experimental data and theoretical predictions on a range of tests covering enthalpy relaxation to mechanical yield to physical aging.