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

We study a simplified model of the RNA molecule proposed by Vernizzi 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 th...

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Autores principales: Dell'Erba, M.G., Zemba, G.R.
Formato: JOUR
Lenguaje:English
Materias:
Analytical expressions
Complex topology
Concentration of
Critical temperatures
First order
Flexible chains
Low temperatures
Polymer systems
RNA molecules
Simplified models
Temperature regimes
Topological phase
Two phasis
Molecules
Nucleic acids
RNA
Technetium
Topology
Phase transitions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_DellErba
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v80_n4_p_DellErba
record_format dspace
spelling todo:paper_15393755_v80_n4_p_DellErba2023-10-03T16:22:30Z Topological phase transition in a RNA model in the de Gennes regime Dell'Erba, M.G. Zemba, G.R. Analytical expressions Complex topology Concentration of Critical temperatures First order Flexible chains Low temperatures Polymer systems RNA molecules Simplified models Temperature regimes Topological phase Two phasis Molecules Nucleic acids RNA Technetium Topology Phase transitions We study a simplified model of the RNA molecule proposed by Vernizzi 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 (on 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 analytical expression for Tc. The regime studied for this model exhibits analogies with the dense polymer systems studied by de Gennes. © 2009 The American Physical Society. Fil:Zemba, G.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_DellErba
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Analytical expressions
Complex topology
Concentration of
Critical temperatures
First order
Flexible chains
Low temperatures
Polymer systems
RNA molecules
Simplified models
Temperature regimes
Topological phase
Two phasis
Molecules
Nucleic acids
RNA
Technetium
Topology
Phase transitions
spellingShingle Analytical expressions
Complex topology
Concentration of
Critical temperatures
First order
Flexible chains
Low temperatures
Polymer systems
RNA molecules
Simplified models
Temperature regimes
Topological phase
Two phasis
Molecules
Nucleic acids
RNA
Technetium
Topology
Phase transitions
Dell'Erba, M.G.
Zemba, G.R.
Topological phase transition in a RNA model in the de Gennes regime
topic_facet Analytical expressions
Complex topology
Concentration of
Critical temperatures
First order
Flexible chains
Low temperatures
Polymer systems
RNA molecules
Simplified models
Temperature regimes
Topological phase
Two phasis
Molecules
Nucleic acids
RNA
Technetium
Topology
Phase transitions
description We study a simplified model of the RNA molecule proposed by Vernizzi 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 (on 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 analytical expression for Tc. The regime studied for this model exhibits analogies with the dense polymer systems studied by de Gennes. © 2009 The American Physical Society.
format JOUR
author Dell'Erba, M.G.
Zemba, G.R.
author_facet Dell'Erba, M.G.
Zemba, G.R.
author_sort Dell'Erba, M.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
url http://hdl.handle.net/20.500.12110/paper_15393755_v80_n4_p_DellErba
work_keys_str_mv AT dellerbamg topologicalphasetransitioninarnamodelinthedegennesregime
AT zembagr topologicalphasetransitioninarnamodelinthedegennesregime
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