17,118 research outputs found
Open string instantons and relative stable morphisms
We show how topological open string theory amplitudes can be computed by
using relative stable morphisms in the algebraic category. We achieve our goal
by explicitly working through an example which has been previously considered
by Ooguri and Vafa from the point of view of physics. By using the method of
virtual localization, we successfully reproduce their results for multiple
covers of a holomorphic disc, whose boundary lies in a Lagrangian submanifold
of a Calabi-Yau 3-fold, by Riemann surfaces with arbitrary genera and number of
boundary components. In particular we show that in the case we consider there
are no open string instantons with more than one boundary component ending on
the Lagrangian submanifold.Comment: This is the version published by Geometry & Topology Monographs on 22
April 200
Fluctuations in mixtures of lamellar- and nonlamellar-forming lipids
We consider the role of nonlamellar-forming lipids in biological membranes by
examining fluctuations, within the random phase approximation, of a model
mixture of two lipids, one of which forms lamellar phases while the other forms
inverted hexagonal phases. To determine the extent to which nonlamellar-forming
lipids facilitiate the formation of nonlamellar structures in lipid mixtures,
we examine the fluctuation modes and various correlation functions in the
lamellar phase of the mixture. To highlight the role fluctuations can play, we
focus on the lamellar phase near its limit of stability. Our results indicate
that in the initial stages of the transition, undulations appear in the
lamellae occupied by the tails, and that the nonlamellar-forming lipid
dominates these undulations. The lamellae occupied by the head groups pinch off
to make the tubes of the hexagonal phase. Examination of different correlations
and susceptibilities makes quantitative the dominant role of the
nonlamellar-forming lipids.Comment: 7 figures (better but larger in byte figures are available upon
resuest), submitte
Distribution of lipids in non-lamellar phases of their mixtures
We consider a model of lipids in which a head group, characterized by its
volume, is attached to two flexible tails of equal length. The phase diagram of
the anhydrous lipid is obtained within self-consistent field theory, and
displays, as a function of lipid architecture, a progression of phases:
body-centered cubic, hexagonal, gyroid, and lamellar. We then examine mixtures
of an inverted hexagonal forming lipid and a lamellar forming lipid. As the
volume fractions of the two lipids vary, we find that inverted hexagonal,
gyroid, or lamellar phases are formed. We demonstrate that the non-lamellar
forming lipid is found preferentially at locations which are difficult for the
lipid tails to reach. Variations in the volume fraction of each type of lipid
tail are on the order of one to ten per cent within regions dominated by the
tails. We also show that the variation in volume fraction is correlated
qualitatively with the variation in mean curvature of the head-tail interface.Comment: 10 pages, 12 figures (better figures are available upon request), to
appear in J. Chem. Phy
Relative entropy of entanglement of a kind of two qubit entangled states
We in this paper strictly prove that some block diagonalizable two qubit
entangled state with six none zero elements reaches its quantum relative
entropy entanglement by the a separable state having the same matrix structure.
The entangled state comprises local filtering result state as a special case.Comment: 5 page
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