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APS » Journals » Phys. Rev. Lett. » Volume 69 » Issue 25
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Phys. Rev. Lett. 69, 3650–3653 (1992)

Self-avoiding surfaces, topology, and lattice animals

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A. L. Stella, E. Orlandini, I. Beichl, F. Sullivan, M. C. Tesi, and T. L. Einstein
Dipartimento di Fisica and Sezione Istituto Nazionale di Fisica Nucleare di Bologna, I-40126 Bologna, Italy
Consorzio Istituto Nazionale di Fisica della Materia, Unità di Padova, I-35131 Padova, Italy
Computing and Applied Mathematics Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
Department of Physics, University of Maryland, College Park, Maryland 20742

Received 11 September 1992; published in the issue dated 21 December 1992

With Monte Carlo simulation we study closed self-avoiding surfaces (SAS) of arbitrary genus on a cubic lattice. The gyration radius and entropic exponents are ν=0.506±0.005 and θ=1.50±0.06, respectively. Thus, SAS behave like lattice animals (LA) or branched polymers at criticality. This result, contradicting previous conjectures, is due to a mechanism of geometrical redundancy, which is tested by exact renormalization on a hierarchical vesicle model. By mapping SAS into restricted interacting site LA, we conjecture νFTHETA=1/2, φFTHETA=1, and θFTHETA=3/2 at the LA theta point.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.3650
DOI:
10.1103/PhysRevLett.69.3650
PACS:
64.60.Ak, 05.70.Jk, 61.41.+e, 64.60.Kw
 
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