منابع مشابه
Equilibrium shapes of flat knots.
We study the equilibrium shapes of prime and composite knots confined to two dimensions. Using scaling arguments we show that, due to self-avoiding effects, the topological details of prime knots are localized on a small portion of the larger ring polymer. Within this region, the original knot configuration can assume a hierarchy of contracted shapes, the dominating one given by just one small ...
متن کاملCylindrical equilibrium shapes of fluid membranes
Within the framework of the well-known curvature models, a fluid lipid bilayer membrane is regarded as a surface embedded in the three-dimensional Euclidean space whose equilibrium shapes are described in terms of its mean and Gaussian curvatures by the so-called membrane shape equation. In the present paper, all solutions to this equation determining cylindrical membrane shapes are found and p...
متن کاملEquilibrium shapes of planar elastic membranes.
Using a rod theory formulation, we derive equations of state for a thin elastic membrane subjected to several different boundary conditions-clamped, simply supported, and periodic. The former is applicable to membranes supported on a softer substrate and subjected to uniaxial compression. We show that a wider family of quasistatic equilibrium shapes exist beyond the previously obtained analytic...
متن کاملSocial Stability and Equilibrium
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متن کاملDipole Equilibrium and Stability
A plasma confined in a dipole field exhibits unique equilibrium and stability properties. In particular, equilibria exist at all β values and these equilibria are found to be stable to ballooning modes when they are interchange stable. When a kinetic treatment is performed at low beta we also find a drift temperature gradient mode which couples to the MHD mode in the vicinity of marginal interc...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2000
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2000105