Simplicity and scaling - size of a real polymer in three (or any) dimensions
| dc.creator | Lowe, C. P. | |
| dc.creator | Dreischor, M. W. | |
| dc.date | 2008-09-22 | |
| dc.date.accessioned | 2026-07-07T10:04:23Z | |
| dc.date.available | 2026-07-07T10:04:23Z | |
| dc.description | We examine the scaling of the linear dimension of the system size of a real polymer solution at constant excess free energy and in two different spacial dimensionalities, d=d0 and d=d1. Standard results for the functional form of the excess free energy lead to the conclusion that the scaling exponent nu(d) satisfies nu(d0) - nu(d1) = 1/d0 - 1/d1. Taking the critical dimensionality as a point of reference (nu(4)=1/2) gives a scaling exponent nu(d) = 1/4 +1/d, in agreement with the accepted result for two-dimensions (nu(2) = 3/4) and the first term in the epsilon (d-4) expansion. For the unsolved case of three dimensions it predicts nu(3)=7/12. Several simplifying features of this result are pointed out. | |
| dc.description | 5 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0809.3666 | |
| dc.identifier | http://arxiv.org/abs/0809.3666 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169659 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Simplicity and scaling - size of a real polymer in three (or any) dimensions | |
| dc.type | text |