Two-parameter scaling of correlation functions near continuous phase transitions
| dc.creator | Hasselmann, Nils | |
| dc.creator | Sinner, Andreas | |
| dc.creator | Kopietz, Peter | |
| dc.date | 2007-05-31 | |
| dc.date | 2007-09-26 | |
| dc.date.accessioned | 2026-07-07T09:23:26Z | |
| dc.date.available | 2026-07-07T09:23:26Z | |
| dc.description | We discuss the order parameter correlation function in the vicinity of continuous phase transitions using a two-parameter scaling form G(k) = k_c^{-2} g(kξ,k/k_c), where k is the wave-vector, ξis the correlation length, and the interaction-dependent non-universal momentum scale k_c remains finite at the critical fixed point. The correlation function describes the entire critical regime and captures the classical to critical crossover. One-parameter scaling is recovered only in the limit k/k_c->0. We present an approximate calculation of g(x,y) for the Ising universality class using the functional renormalization group. | |
| dc.description | 4 pages, 5 figures, revised version, to appear as Rapid Communication in Phys.Rev.E | |
| dc.identifier | https://arxiv.org/abs/0705.4462 | |
| dc.identifier | http://arxiv.org/abs/0705.4462 | |
| dc.identifier | Phys. Rev. E 76, 040101(R) (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.76.040101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155732 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Two-parameter scaling of correlation functions near continuous phase transitions | |
| dc.type | text |