Field-Gradient Force Model

Free Volume Model Field Gradient Force Model Mean-Field Theory Model Model ofViscous Mass Flo>v Diffusion Model... 

Fukuda. Indeed, while presenting their model, Sumaru et al. and Fukuda et also demonstrated that their results were compatible with the field-gradient force model, and their results were consistent with the experimental data for a variety of polymer systems. A further feature brought by the model in references 36 and 37 was the thickness dependence. 

A transition linearly coupled to the phonon field gradient will experience, from the perturbation theory perspective, a frequency shift and a drag force owing to phonon emission/absorption. Here we resort to the simplest way to model these effects by assuming that our degree of freedom behaves like a localized boson with frequency (s>i. The corresponding Hamiltonian reads... 

Velocimetry. - An analytic model for the velocity field within a tubeless siphon (Fano flow) was presented. The model was based on a simple differential equation in which extensional, shear and gravitational pressure gradient forces are balanced. The role of surface tension in determining boundary conditions for the flow is considered. The analysis is applied to NMR velocimetry data (Xia and Callaghan, J. Magn. Reson., 2003, 16, 365) on a... 

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