Violation of finite-size scaling for the free energy near criticality
| dc.creator | Chen, X. S. | |
| dc.creator | Dohm, V. | |
| dc.date | 2001-12-17 | |
| dc.date.accessioned | 2026-07-07T02:43:52Z | |
| dc.date.available | 2026-07-07T02:43:52Z | |
| dc.description | The singular part of the finite-size free energy density $f_s$ of the O($n$) symmetric $ϕ^4$ field theory is calculated for confined geometries of linear size L with periodic boundary conditions in the large-N limit and with Dirichlet boundary conditions in one-loop order. We find that both a sharp cutoff and a subleading long-range interaction cause a non-universal L dependence of $f_s$ near $T_c$. For film geometry this implies a non-universal critical Casimir force with an algebraic L dependence that dominates the exponential finite-size scaling behavior above $T_c$ for both periodic and Dirichlet boundary conditions. | |
| dc.description | 4 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0112310 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0112310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18681 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Violation of finite-size scaling for the free energy near criticality | |
| dc.type | text |