Topological phase transition in a RNA model in the de Gennes regime

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Abstract: We study a simplified model of the RNA molecule proposed by G. Vernizzi, H. Orland and A. Zee in the regime of strong concentration of positive ions in solution. The model considers a flexible chain of equal bases that can pairwise interact with any other one along the chain, while preserv...

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Autores principales: Dell'Erba, Matías G., Zemba, Guillermo Raúl
Formato: Documento de trabajo
Lenguaje:Inglés
Publicado: 2019
Materias:
MOLECULAS DE ARN
Vernizzi, Graziano
Gennes, Pierre Gilles de
SISTEMAS DE POLIMEROS
TEMPERATURA CRITICA
CADENA FLEXIBLE
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/5465
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
id I33-R139123456789-5465
record_format dspace
institution Universidad Católica Argentina
institution_str I-33
repository_str R-139
collection Repositorio Institucional de la Universidad Católica Argentina (UCA)
language Inglés
topic MOLECULAS DE ARN
Vernizzi, Graziano
Gennes, Pierre Gilles de
SISTEMAS DE POLIMEROS
TEMPERATURA CRITICA
CADENA FLEXIBLE
spellingShingle MOLECULAS DE ARN
Vernizzi, Graziano
Gennes, Pierre Gilles de
SISTEMAS DE POLIMEROS
TEMPERATURA CRITICA
CADENA FLEXIBLE
Dell'Erba, Matías G.
Zemba, Guillermo Raúl
Topological phase transition in a RNA model in the de Gennes regime
topic_facet MOLECULAS DE ARN
Vernizzi, Graziano
Gennes, Pierre Gilles de
SISTEMAS DE POLIMEROS
TEMPERATURA CRITICA
CADENA FLEXIBLE
description Abstract: We study a simplified model of the RNA molecule proposed by G. Vernizzi, H. Orland and A. Zee in the regime of strong concentration of positive ions in solution. The model considers a flexible chain of equal bases that can pairwise interact with any other one along the chain, while preserving the property of saturation of the interactions. In the regime considered, we observe the emergence of a critical temperature Tc separating two phases that can be characterized by the topology of the predominant configurations: in the large temperature regime, the dominant configurations of the molecule have very large genera (of the order of the size of the molecule), corresponding to a complex topology, whereas in the opposite regime of low temperatures, the dominant configurations are simple and have the topology of a sphere. We determine that this topological phase transition is of first order and provide an analytic expression for Tc. The regime studied for this model exhibits analogies with that for the dense polymer systems studied by de Gennes.
format Documento de trabajo
author Dell'Erba, Matías G.
Zemba, Guillermo Raúl
author_facet Dell'Erba, Matías G.
Zemba, Guillermo Raúl
author_sort Dell'Erba, Matías G.
title Topological phase transition in a RNA model in the de Gennes regime
title_short Topological phase transition in a RNA model in the de Gennes regime
title_full Topological phase transition in a RNA model in the de Gennes regime
title_fullStr Topological phase transition in a RNA model in the de Gennes regime
title_full_unstemmed Topological phase transition in a RNA model in the de Gennes regime
title_sort topological phase transition in a rna model in the de gennes regime
publishDate 2019
url https://repositorio.uca.edu.ar/handle/123456789/5465
work_keys_str_mv AT dellerbamatiasg topologicalphasetransitioninarnamodelinthedegennesregime
AT zembaguillermoraul topologicalphasetransitioninarnamodelinthedegennesregime
bdutipo_str Repositorios
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