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Statistical physics of flexible membranes

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  • Lipowsky, Reinhard

Abstract

Theoretical work on the shape and on the interaction of flexible membranes is briefly reviewed. Shape transformations can be induced by changes in temperature, by intermembrane domains, or by adhesion towards an attractive surface. The interaction of membranes is governed by the interplay between molecular forces and fluctuations. The molecular roughness on small scales leads to short-ranged repulsive interactions which can contribute to the hydration force. Shape fluctuations on larger scales give rise to unbinding or adhesion transitions. For two interacting membranes, one has to distinguish several universality classes which correspond to a whole line of renormalization group fixed points. Recent theoretical work shows that such a line also governs the unbinding for bunches of more than two membranes.

Suggested Citation

  • Lipowsky, Reinhard, 1993. "Statistical physics of flexible membranes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 114-127.
    • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:114-127
    DOI: 10.1016/0378-4371(93)90346-6
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    Cited by:

    1. Kohyama, T., 1998. "Defects and the sol-gel transition in lamellar fluid membranes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 323-335.
    2. Hiergeist, Christin & Lipowsky, Reinhard, 1997. "Local contacts of membranes and strings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 164-175.

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