scholarly journals Critical exponents in mean-field classical spin systems

2019 ◽  
Vol 100 (3) ◽  
Author(s):  
Yoshiyuki Y. Yamaguchi ◽  
Debraj Das ◽  
Shamik Gupta
Keyword(s):  
Critical Exponents ◽  
Mean Field ◽  
Spin Systems ◽  
Classical Spin

scholarly journals Lifting mean-field degeneracies in anisotropic classical spin systems

2015 ◽  
Vol 92 (15) ◽  
Author(s):  
Yuriy Sizyuk ◽  
Natalia B. Perkins ◽  
Peter Wölfle
Keyword(s):  
Mean Field ◽  
Spin Systems ◽  
Classical Spin

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

Nonclassical critical exponents out of mean-field results

1998 ◽  
Vol 260 (1-2) ◽  
pp. 99-105 ◽  
Author(s):  
Tânia Tomé ◽  
Mário J.de Oliveira
Keyword(s):  
Critical Exponents ◽  
Mean Field

scholarly journals Geometric Integrators for Classical Spin Systems

1997 ◽  
Vol 133 (1) ◽  
pp. 160-172 ◽  
Author(s):  
Jason Frank ◽  
Weizhang Huang ◽  
Benedict Leimkuhler
Keyword(s):  
Spin Systems ◽  
Classical Spin ◽  
Geometric Integrators

The Curie–Weiss–Néel model of a ferrimagnet

1981 ◽  
Vol 59 (7) ◽  
pp. 883-887 ◽  
Author(s):  
R. G. Bowers ◽  
S. L. Schofield
Keyword(s):  
Exact Solution ◽  
Critical Phenomena ◽  
Critical Exponents ◽  
Mean Field ◽  
The Other ◽  
New Model ◽  
Total Magnetization ◽  
Present Context ◽  
Elementary Methods ◽  
Parallel Fashion

An analogue, for ferrimagnetism, of the Curie–Weiss model ferromagnet is introduced. The resulting structure, the Curie–Weiss–Néel model, is based on a two sublattice description in which spins of one magnitude occupy one sublattice and spins of another magnitude occupy the other. Attention is concentrated on the case in which spins on the different sublattices tend to align in an anti-parallel fashion. Many properties of the new model are similar to those of the Curie–Weiss ferromagnet. Artificially long-ranged interactions connect spins on the different sublattices. The complete thermodynamics can be obtained exactly by relatively elementary methods. The exact solution of the model is essentially identical with the appropriate mean field results (of Néel). Attention is given to the Néel point and associated critical phenomena. Many standard critical exponents are calculated and, of course, classical exponent values result. Novel features of critical phenomena in ferrimagnets are considered. These are associated with the fact that, theoretically, the staggered magnetization and staggered fields are important while, experimentally, the total magnetization and uniform fields are usually employed. It is shown that, within the present context, corresponding staggered and uniform properties have identical exponent values.

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