Mean area of self-avoiding loops
Abstract
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 R20N3/2. The amplitude ratio A0/R20 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.
- Publication:
-
Physical Review Letters
- Pub Date:
- March 1994
- DOI:
- arXiv:
- arXiv:cond-mat/9310013
- Bibcode:
- 1994PhRvL..72.1580C
- Keywords:
-
- 05.20.-y;
- 64.60.-i;
- Classical statistical mechanics;
- General studies of phase transitions;
- Condensed Matter;
- High Energy Physics - Theory
- E-Print:
- 12 pages, plain TeX, (one TeX macro omission corrected)