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...
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Формат: | Journal article |
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1994
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_version_ | 1826270084314693632 |
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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 |