Self-avoiding walks on a bilayer Bethe lattice
Artículo finalmente publicado en: Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-16
| Main Authors: | , |
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| Format: | submittedVersion |
| Language: | eng |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/11086/29834 https://doi.org/10.48550/arXiv.1206.3770 |
| _version_ | 1801212549030477824 |
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| author | Serra, Pablo Stilck, Jürgen F. |
| author_facet | Serra, Pablo Stilck, Jürgen F. |
| author_sort | Serra, Pablo |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en: Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-16 |
| format | submittedVersion |
| id | rdu-unc.29834 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.298342022-12-01T18:19:40Z Self-avoiding walks on a bilayer Bethe lattice Serra, Pablo Stilck, Jürgen F. Self-avoiding walks Lattice models Bethe lattice Artículo finalmente publicado en: Journal of Statistical Mechanics: Theory and Experiment; 2014; 4-2014; 1-16 submittedVersion Fil: Serra, Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Serra, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Serra, Pablo. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Stilck, Jürgen F. Universidade Federal Fluminense. Instituto de Física; Brazil. Fil: Stilck, Jürgen F. Institute of Science and Technology for Complex Systems; Brazil. We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. We also define and comment results for a model with interactions between monomers on first neighbor sites of different layers. The thermodynamic properties of the model are studied in the grand-canonical formalism and both layers are considered to be Cayley trees. In the core region of the trees, which we may call a bilayer Bethe lattice, we find a very rich phase diagram in the parameter space defined by the two activities of monomers and the Boltzmann factor associated to the interlayer interaction between bonds or monomers. Beside critical and coexistence surfaces, there are tricritical, bicritical and critical endpoint lines, as well as higher order multicritical points. http://iopscience.iop.org/1742-5468/2014/4/P04002/article submittedVersion Fil: Serra, Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Serra, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Serra, Pablo. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Stilck, Jürgen F. Universidade Federal Fluminense. Instituto de Física; Brazil. Fil: Stilck, Jürgen F. Institute of Science and Technology for Complex Systems; Brazil. Física de los Materiales Condensados 2022-11-29T18:50:50Z 2022-11-29T18:50:50Z 2014 article http://hdl.handle.net/11086/29834 https://doi.org/10.48550/arXiv.1206.3770 eng Versión publicada: http://dx.doi.org/10.1088/1742-5468/2014/04/P04002 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spellingShingle | Self-avoiding walks Lattice models Bethe lattice Serra, Pablo Stilck, Jürgen F. Self-avoiding walks on a bilayer Bethe lattice |
| title | Self-avoiding walks on a bilayer Bethe lattice |
| title_full | Self-avoiding walks on a bilayer Bethe lattice |
| title_fullStr | Self-avoiding walks on a bilayer Bethe lattice |
| title_full_unstemmed | Self-avoiding walks on a bilayer Bethe lattice |
| title_short | Self-avoiding walks on a bilayer Bethe lattice |
| title_sort | self avoiding walks on a bilayer bethe lattice |
| topic | Self-avoiding walks Lattice models Bethe lattice |
| url | http://hdl.handle.net/11086/29834 https://doi.org/10.48550/arXiv.1206.3770 |
| work_keys_str_mv | AT serrapablo selfavoidingwalksonabilayerbethelattice AT stilckjurgenf selfavoidingwalksonabilayerbethelattice |