Mean area of selfavoiding loops
Jan 18, 199410 pages
Published in:
- Phys.Rev.Lett. 72 (1994) 1580-1583
e-Print:
- cond-mat/9310013 [cond-mat]
Report number:
- OUTP-93-34S,
- OUTP-93-??S
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Abstract: (APS)
The mean area of two-dimensional unpressurized vesicles, or self-avoiding loops of fixed length N, behaves for large N as A0N3/2, while their mean square radius of gyration behaves as R02N3/2. The amplitude ratio A0/R02 is computed exactly and found to equal 4π/5. The physics of the pressurized case, in both 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→0.Note:
- 12 pages, plain TeX, (one TeX macro omission corrected)
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