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8
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33749848594
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to be published.
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Holzlöhner R., to be published.
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Holzlöhner, R.1
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31
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0004099776
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D. Nelson, T. Piran and S. Weinberg, Eds. World Scientific, Singapore
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For recent reviews, see "Statistical Mechanics of Membranes and Surfaces", D. Nelson, T. Piran and S. Weinberg, Eds. (World Scientific, Singapore, 1989);
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(1989)
Statistical Mechanics of Membranes and Surfaces
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32
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0003603422
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The Structure and Dynamics of Membranes
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R. Lipowsky and E. Sackmann, Eds., Elsevier, Amsterdam, in press.
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"The Structure and Dynamics of Membranes", R. Lipowsky and E. Sackmann, Eds., Handbook on Biological Physics, Vol. 1 (Elsevier, Amsterdam, in press).
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Handbook on Biological Physics
, vol.1
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33
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33749838356
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For the case of two membranes, the effective rigidity KO is a function of the bending rigidities of the two individual membranes, K1 and K2, and is given by KQ = KiKz/fai + Kz.
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For the case of two membranes, the effective rigidity KO is a function of the bending rigidities of the two individual membranes, K1 and K2, and is given by KQ = KiKz/fai + Kz).
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34
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33749852694
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The separation coordinates between neighboring membranes in a stack are indeed decoupled to a good approximation if the membranes are bound by a rather long-ranged potential, such as an external pressure
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The separation coordinates between neighboring membranes in a stack are indeed decoupled to a good approximation if the membranes are bound by a rather long-ranged potential, such as an external pressure
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35
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33749863185
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For short-ranged potentials the situation is more complex, but the decoupling Ansatz describes the situation still rather well [30].
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For short-ranged potentials the situation is more complex, but the decoupling Ansatz describes the situation still rather well [30].
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39
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33749820913
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note
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Note that holes correspond to membrane perturbations where the local bending rigidity is reduced [33]. The aggregation of such holes into a hexagonal array or the condensation into a macroscopic single hole has recently been demonstrated for a swollen diblock copolymer system [34]. The parameter controlling which behavior dominates is the spontaneous curvature of a monolayer, which is for diblock copolymer determined by the block asymmetry.
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44
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33749824023
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This effect could be detected by measuring the adsorption coefficient of colloidal particles in a stack of membranes.
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This effect could be detected by measuring the adsorption coefficient of colloidal particles in a stack of membranes.
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45
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33749827950
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Menés R. and Safran S.A., to be published.
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Menés R. and Safran S.A., to be published.
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46
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0025968124
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See for example Lipowsky R., Nature 349 (1991) 475.
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(1991)
Nature
, vol.349
, pp. 475
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Lipowsky, R.1
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48
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0004245694
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M. Abramowitz and I.A. Stegun Eds. Dover Publications, New York
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Handbook of Mathematical Functions, M. Abramowitz and I.A. Stegun Eds. (Dover Publications, New York, 1972);
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(1972)
Handbook of Mathematical Functions
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49
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0003498504
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Academic Press, New York
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Gradshteyn I.S. and Ryzhik I.M., Table of Integrals, Series, and Products (Academic Press, New York, 1980).
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(1980)
Table of Integrals, Series, and Products
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Gradshteyn, I.S.1
Ryzhik, I.M.2
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