Robustness of first-order phase transitions in one-dimensional long-range contact processes (2013)
- Authors:
- USP affiliated authors: SANTOS, CARLOS EDUARDO FIORE DOS - IF ; OLIVEIRA, MARIO JOSE DE - IF
- Unidade: IF
- Subjects: TERMODINÂMICA; MECÂNICA ESTATÍSTICA
- Language: Inglês
- Abstract: It has been proposed (Phys. Rev. E 71, 026121 (2005)) that unlike the short range contact process, a long-range counterpart may lead to the existence a discontinuous phase transition in one dimension. Aiming at exploring such link, here we investigate thoroughly a family of long-range contact processes. They are introduced through the transition rate 1 + aℓ−σ , where ℓ is the length of inactive islands surrounding particles. In the former approach we reconsider the original model (called σ−contact process), by considering distinct mechanisms of weakening the long-range interaction toward the short-range limit. Second, we study the effect of different rules, including creation and annihilation by clusters of particles and distinct versions with infinitely many absorbing states. Our results show that all examples presenting a single absorbing state, a discontinuous transition is possible for small σ. On the other hand, the presence of infinite absorbing states leads to distinct scenario depending on the interactions at the frontier of inactive sites.
- Imprenta:
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ABNT
SANTOS, Carlos Eduardo Fiore dos e OLIVEIRA, Mário José de. Robustness of first-order phase transitions in one-dimensional long-range contact processes. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1306.3163v1.pdf. Acesso em: 18 abr. 2024. , 2013 -
APA
Santos, C. E. F. dos, & Oliveira, M. J. de. (2013). Robustness of first-order phase transitions in one-dimensional long-range contact processes. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1306.3163v1.pdf -
NLM
Santos CEF dos, Oliveira MJ de. Robustness of first-order phase transitions in one-dimensional long-range contact processes [Internet]. 2013 ;[citado 2024 abr. 18 ] Available from: http://lanl.arxiv.org/pdf/1306.3163v1.pdf -
Vancouver
Santos CEF dos, Oliveira MJ de. Robustness of first-order phase transitions in one-dimensional long-range contact processes [Internet]. 2013 ;[citado 2024 abr. 18 ] Available from: http://lanl.arxiv.org/pdf/1306.3163v1.pdf - Entropy production and heat capacity of systems under time-dependent oscillating temperature
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