Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica A Statistical Mechanics and its Applications

Mean field renormalization group analysis of the Blume-Capel model

O. F. de Alcantara Bonfim

Published Mar 1, 1985• 47 citations
Publisher
DOI
10.1016/0378-4371(85)90112-8

Related papers

The spin-2 Blume-Capel model by position space renormalization group

N. Hachem, Amer Lafhal, H. Zahir +3 more

Superlattices and Microstructures•Jul 27, 2017•18 citations

Mean field solution of the general spin Blume-Capel model

J. A. Plascak, J. G. Moreira, F.C. SāBarreto

Physics Letters A•Feb 1, 1993•123 citations

New effective-field theory for the Blume-Capel model

Aline Franco Siqueira, I. P. Fittipaldi

Physica A Statistical Mechanics and its Applications•Oct 1, 1986•79 citations

The spin-5/2 Blume–Capel model by mean-field approach and renormalization group theory

I.A. Badrour, Rachid Aharrouch, N. Hachem +2 more

The spin-5/2 Blume–Capel model was studied using the mean-field approximation and the Migdal–Kadanoff renormalization group method for two- and three-dimensional systems. We determined the phase diagrams in the (crystal field, temperature) plane where the system exhibited first- and second-order phase transitions as well as isolated critical, bicritical and triple points. In order to show first-order transitions at low temperature, we presented the total magnetization per site and the derivative of the free energy as a function of the crystal field. Moreover, the critical exponents of the system were calculated by linearizing the renormalization transformation at the vicinity of the second-order fixed points.

International Journal of Modern Physics B•Mar 11, 2024•1 citation

Mean field renormalization group approach to lattice models

Attilio L. Stella

Springer eBooks•Nov 13, 2005•1 citation

LOW–TEMPERATURE EXPANSION FOR A FIRST ORDER SURFACE TRANSITION

Carla Buzano, Ro Pelizzola

The question concerning the possibility of a first order surface transition in a semi–infinite Blume–Capel model is addressed by means of low temperature expansions. It is found that such a transition can exist, according to mean field and cluster variation approximations, and contrarily to renormalization group results. 1 The semi–infinite spin–1 Blume–Capel model has been recently introduced to describe the surface critical behavior of magnetic systems[1] and 3 He–

•Jan 1, 1993•2 citations
The spin-5/2 Blume–Capel model was studied using the mean-field approximation and the Migdal–Kadanoff renormalization group method for two- and three-dimensional systems. We determined the phase diagrams in the (crystal field, temperature) plane where the system exhibited first- and second-order phase transitions as well as isolated critical, bicritical and triple points. In order to show first-order transitions at low temperature, we presented the total magnetization per site and the derivative of the free energy as a function of the crystal field. Moreover, the critical exponents of the system were calculated by linearizing the renormalization transformation at the vicinity of the second-order fixed points.