Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model

Full text
Author(s):
Acosta Diaz, R. [1] ; Svaiter, N. F. [1] ; Krein, G. [2] ; Zarro, C. A. D. [3]
Total Authors: 4
Affiliation:
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, RJ - Brazil
[2] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz, 271, Bloco 2, BR-01140070 Sao Paulo, SP - Brazil
[3] Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, RJ - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Review D; v. 97, n. 6 MAR 28 2018.
Web of Science Citations: 2
Abstract

We discuss a disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica-symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading-order replica partition function. (AU)

FAPESP's process: 13/01907-0 - São Paulo Research and Analysis Center
Grantee:Sergio Ferraz Novaes
Support type: Research Projects - Thematic Grants