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02 November 2024
 
  » arxiv » cond-mat/9310013

 Article overview



Mean Area of Self-Avoiding Loops
John Cardy ;
Date 8 Oct 1993
Subject cond-mat hep-th
AbstractThe mean area of two-dimensional unpressurised vesicles, or self-avoiding loops of fixed length $N$, behaves for large $N$ as $A_0 N^{3/2}$, while their mean square radius of gyration behaves as $R^2_0 N^{3/2}$. The amplitude ratio $A_0/R_0^2$ is computed exactly and found to equal $4pi/5$. The physics of the pressurised case, both in the inflated and collapsed phases, may be usefully related to that of a complex O(n) field theory coupled to a U(1) gauge field, in the limit $n o 0$.
Source arXiv, cond-mat/9310013
Other source [GID 330798] pmid10055648
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