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Mean Area of SelfAvoiding Loops  John Cardy
;  Date: 
8 Oct 1993  Subject:  condmat hepth  Abstract:  The mean area of twodimensional unpressurised vesicles, or selfavoiding 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, condmat/9310013  Other source:  [GID 330798] pmid10055648  Services:  Forum  Review  PDF  Favorites 


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