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Titlebook: Statistical Thermodynamics and Differential Geometry of Microstructured Materials; H. Ted Davis,Johannes C. C. Nitsche Conference proceedi

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The Conformation of Fluid Vesicles,sure increment Δ. ≥ 0 are studied using Monte Carlo methods and scaling arguments. For . = 0 and Δ. = 0, our results are consistent with branched polymer behavior at large length scales. There is a smooth crossover from the crumpled to an extended state with increasing ., with a peak in the specific
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The Least Gradient Method for Computing Area-Minimizing Hypersurfaces,hod can be found in the author’s papers [5] and [6], and a detailed discussion of the implementation in [7]. These papers are rather heavy reading because of the technical details included. To some extent technical details are inevitable, but in this paper we shall try to minimize them.
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A Generalization of a Theorem of Delaunay on Constant Mean Curvature Surfaces,constancy of the mean curvature is expressed by an ordinary differential equation for the radius of rotation with respect to the meridian length. The resulting equation was, in those days, very familiar as the differential equation governing the . of a conic, that is, the locus of the focus of a con
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A Crystallographic Approach to 3-Periodic Minimal Surfaces,e discussed. Crystallo-graphic formulae for the calculation of the genera of 3-periodic intersection-free minimal surfaces are given. A list of all minimal balance surfaces known so far contains the respective inherent symmetries, the genera and in addition the orders, the site symmetries and the Wyckoff positions of their flat points.
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