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Isostaticity and the solidification of semiflexible polymer melts
Using molecular dynamics simulations of a tangent-soft-sphere bead-spring
polymer model, we examine the degree to which semiflexible polymer melts
solidify at isostaticity. Flexible and stiff chains crystallize when they are
isostatic as defined by appropriate degree-of-freedom-counting arguments.
Semiflexible chains also solidify when isostatic if a generalized isostaticity
criterion that accounts for the slow freezing out of configurational freedom as
chain stiffness increases is employed. The dependence of the average
coordination number at solidification on chains' characteristic ratio
has the same functional form [] as the
dependence of the average coordination number at jamming on
in athermal systems, suggesting that jamming-related phenomena play
a significant role in thermal polymer solidification
On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
This work is concerned with the Benjamin-Bona-Mahony equation. This model was
deduced as an approximation to the Korteweg-de Vries equation in the
description of unidirectional propagation of long waves. Our goal here is to
study unique continuation and regularity properties on solutions to the
associated initial value problem and initial periodic boundary value problems
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