MEAN AREA OF SELF-AVOIDING LOOPS
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...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Published: |
1994
|
| _version_ | 1826270084314693632 |
|---|---|
| author | Cardy, J |
| author_facet | Cardy, J |
| author_sort | Cardy, J |
| collection | OXFORD |
| description | 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. © 1994 The American Physical Society. |
| first_indexed | 2024-03-06T21:35:19Z |
| format | Journal article |
| id | oxford-uuid:460e9f58-4244-43b8-91af-e61820c1e7f3 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:35:19Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:460e9f58-4244-43b8-91af-e61820c1e7f32022-03-26T15:11:23ZMEAN AREA OF SELF-AVOIDING LOOPSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:460e9f58-4244-43b8-91af-e61820c1e7f3Symplectic Elements at Oxford1994Cardy, JThe 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. © 1994 The American Physical Society. |
| spellingShingle | Cardy, J MEAN AREA OF SELF-AVOIDING LOOPS |
| title | MEAN AREA OF SELF-AVOIDING LOOPS |
| title_full | MEAN AREA OF SELF-AVOIDING LOOPS |
| title_fullStr | MEAN AREA OF SELF-AVOIDING LOOPS |
| title_full_unstemmed | MEAN AREA OF SELF-AVOIDING LOOPS |
| title_short | MEAN AREA OF SELF-AVOIDING LOOPS |
| title_sort | mean area of self avoiding loops |
| work_keys_str_mv | AT cardyj meanareaofselfavoidingloops |