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Multicritical points and topology-induced inverse transition in the random-field Blume-Capel model in a random network

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Multicritical points and topology-induced inverse transition in the random-field Blume-Capel model in a random network

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Título Multicritical points and topology-induced inverse transition in the random-field Blume-Capel model in a random network
Autor Erichsen Junior, Rubem
Lopes, Amanda de Azevedo
Magalhaes, Sergio Garcia
Abstract The interplay between quenched disorder provided by a random field (RF) and network connectivity in the Blume-Capel (BC) model is the subject of this paper. The replica method is used to average over the network randomness. It offers an alternative analytic route to both numerical simulations and standard mean field approaches. The results reveal a rich thermodynamic scenario with multicritical points that are strongly dependent on network connectivity. In addition, we also demonstrate that the RF has a deep effect on the inverse melting transition. This highly nontrivial type of phase transition has been proposed to exist in the BC model as a function of network topology. Our results confirm that the topological mechanism can lead to an inverse melting transition. Nevertheless, our results also show that as the RF becomes stronger, the paramagnetic phase is affected in such way that the topological mechanism for inverse melting is disabled.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 95, no. 6 (June 2017), 062113, 9 p.
Assunto Diagramas de fase
Processos randômicos
Sistemas de spin
Transformações de fase
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/168987
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