Investigation of surface critical behavior of semi-infinite systems with cubic anisotropy
| dc.creator | Usatenko, Z. | |
| dc.date | 2002-11-28 | |
| dc.date.accessioned | 2026-07-07T02:48:26Z | |
| dc.date.available | 2026-07-07T02:48:26Z | |
| dc.description | The critical behavior at the special surface transition and crossover bevavior from special to ordinary surface transition in semi-infinite n-component anisotropic cubic models are investigated by applying the field theoretic approach directly in d=3 dimensions up to the two-loop approximation. The crossover behavior for random semi-infinite Ising-like system, which is the nontrivial particular case of the cubic model in the limit $n\to 0$, is also investigated. The numerical estimates of the resulting two-loop series expansions for the critical exponents of the special surface transition, surface crossover critical exponent $Φ$ and the surface critical exponents of the layer, $α_{1}$, and local specific heats, $α_{11}$, are computed by means of Pade and Pade-Borel resummation techniques. For $n<n_{c}$ the system belongs to the universality class of the isotropic n-component model, while for $n>n_{c}$ the cubic fixed point is stable, where $n_{c}$ is the marginal spin dimensionality of the cubic model. The obtained results indicate that the surface critical behavior of semi-infinite systems with cubic anisotropy is characterized by new set of surface critical exponents for $n>n_{c}$. | |
| dc.description | 13 pages, 3 figures, 10 tables, Tex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0211654 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0211654 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20401 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Investigation of surface critical behavior of semi-infinite systems with cubic anisotropy | |
| dc.type | text |