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https://locus.ufv.br//handle/123456789/19245
Tipo: | Artigo |
Título: | Nature of the collapse transition in interacting self-avoiding trails |
Autor(es): | Oliveira, Tiago J. Stilck, Jürgen F. |
Abstract: | We study the interacting self-avoiding trail (ISAT) model on a Bethe lattice of general coordination q and on a Husimi lattice built with squares and coordination q=4. The exact grand-canonical solutions of the model are obtained, considering that up to K monomers can be placed on a site and associating a weight ωi with an i-fold visited site. Very rich phase diagrams are found with nonpolymerized, regular polymerized, and dense polymerized phases separated by lines (or surfaces) of continuous and discontinuous transitions. For a Bethe lattice with q=4 and K=2, the collapse transition is identified with a bicritical point and the collapsed phase is associated with the dense polymerized (solidlike) phase instead of the regular polymerized (liquidlike) phase. A similar result is found for the Husimi lattice, which may explain the difference between the collapse transition for ISATs and for interacting self-avoiding walks on the square lattice. For q=6 and K=3 (studied on the Bethe lattice only), a more complex phase diagram is found, with two critical planes and two coexistence surfaces, separated by two tricritical and two critical end-point lines meeting at a multicritical point. The mapping of the phase diagrams in the canonical ensemble is discussed and compared with simulational results for regular lattices. |
Palavras-chave: | Nature transition Collapse Interacting self-avoiding trails |
Editor: | Physical Review E |
Tipo de Acesso: | American Physical Society |
URI: | https://doi.org/10.1103/PhysRevE.93.012502 http://www.locus.ufv.br/handle/123456789/19245 |
Data do documento: | 27-Jan-2016 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf Until 2100-12-31 | texto completo | 644,28 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
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