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Self-avoiding surfaces and vesicles on a lattice

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  • Stella, Attilio

Abstract

Recent results concerning the statistics of self-avoiding random surfaces (SAS) and vesicles made of elementary lattice plaquettes in d = 3 are reviewed. In all cases progress follows from introduction of spin or gauge Ising vacancies into a suitable gauge model with n-component classical vectors as degrees of freedom. SAS statistics is generated in the n → 0 limit. Topics include in particular the possibility of defining SAS models with the geometry of Ising spin cluster hulls, crossover from SAS to deflated vesicles, and the role of topology in determining the universality class of SAS problems. Critical properties of SAS models in the presence of an adsorbing boundary plane are also discussed.

Suggested Citation

  • Stella, Attilio, 1992. "Self-avoiding surfaces and vesicles on a lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 211-221.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:211-221
    DOI: 10.1016/0378-4371(92)90458-3
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