Relativistic Bose-Einstein condensation with disorder

Autor(es)

Arias, E. ^[1] ; Krein, G. ^[2] ; Menezes, G. ^[3] ; Svaiter, N. F. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Estado Rio de Janeiro, Inst Politecn, BR-28625570 Nova Friburgo, RJ - Brazil

^[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil

^[3] Univ Fed Rural Rio De Janeiro, Dept Fis, Grp Fis Teor & Matemat Fis, BR-23897000 Seropedica, RJ - Brazil

^[4] Ctr Brasileiro Pesquisas Fis, BR-22299018 Rio De Janeiro, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 49 DEC 11 2015.
• Citações Web of Science: 1

Resumo

We investigate the thermodynamics of a self-interacting relativistic charged scalar field in the presence of weak disorder. We consider quenched disorder which couples linearly to the mass of the scalar field. After performing noise averages over the free energy of the system, we find that disorder increases the mean-field critical temperature for Bose-Einstein condensation at finite density in the ultrarelativistic limit. In turn, preliminary non-relativistic calculations indicate that the presence of randomness affects the Bose gas in the opposite way in such a limit, i.e. disorder reduces the mean-field condensation temperature. The effect of disorder on the temperature dependence of the chemical potential for a fixed charge density is investigated. Significant differences from the mean-field temperature dependence of the chemical potential are observed as the strength of the noise intensity increases. Finally, the temperature dependence of the chemical potential with fixed total charge and entropy is investigated. It is found that there is no Bose-Einstein condensation for a fixed charge to entropy ratio in the presence of weak disorder. The possible relevance of the findings in the present paper in different areas is discussed. (AU)

• Processo FAPESP: 13/01907-0 - Centro de Pesquisa e Análise de São Paulo
• Beneficiário: Sergio Ferraz Novaes
• Modalidade de apoio: Auxílio à Pesquisa - Temático