Two process–algebraic approaches have been developed for comparing two bisimulation–equivalent processes with respect to speed: the one of Moller/Tofts equips actions with lower time bounds, while the other by Lüttgen/Vogler considers upper time bounds instead. This paper sheds new light onto both approaches by testifying to their close relationship and brings the research into bisimulation–bas...

The effect of liquid compressibility on the dynamics of a single, spherical cavitating bubble is studied. While it is known that compressibility damps the amplitude of bubble rebounds, the extent to which this effect is accurately captured by weakly compressible versions of the Rayleigh-Plesset equation is unclear. To clarify this issue, partial differential equations governing conservation of ...

When a bubble collapses mildly the interior pressure field is spatially uniform; this is an assumption often made to close the Rayleigh–Plesset equation of bubble dynamics. The present work is a study of the self-consistency of this assumption, particularly in the case of violent collapses. To begin, an approximation is developed for a spatially non-uniform pressure field, which in a violent co...

A simplified approach to treating the electron correlation energy is suggested in which only the alpha-beta component of the second order Møller-Plesset energy is evaluated, and then scaled by an empirical factor which is suggested to be 1.3. This scaled opposite-spin second order energy (SOS-MP2), where MP2 is Møller-Plesset theory, yields results for relative energies and derivative propertie...

Arlen C. Moller is a doctoral candidate (e-mail: moller@psych. rochester.edu), Richard M. Ryan is a professor (e-mail: ryan@psych. rochester.edu), and Edward L. Deci is Professor of Psychology and Gowen Professor in the Social Sciences (e-mail: deci@psych. rochester.edu), Department of Clinical and Social Sciences in Psychology, University of Rochester. The authors thank Glenn T. Moller and Jac...