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dc.contributor.author
Vogel, E. E.
dc.contributor.author
Saravia, Gregorio
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dc.contributor.author
Ramirez Pastor, Antonio Jose
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dc.date.available
2018-11-07T15:21:53Z
dc.date.issued
2017-12
dc.identifier.citation
Vogel, E. E.; Saravia, Gregorio; Ramirez Pastor, Antonio Jose; Phase transitions in a system of long rods on two-dimensional lattices by means of information theory; American Physical Society; Physical Review E; 96; 6; 12-2017; 1-7
dc.identifier.issn
2470-0053
dc.identifier.uri
http://hdl.handle.net/11336/63857
dc.description.abstract
The orientational phase transitions that occur in the deposition of longitudinal polymers of length k (in terms of lattice units) are characterized by information theory techniques. We calculate the absolute value of an order parameter δ, which weights the relative orientations of the deposited rods, which varies between 0.0 (random orientation) and 1.0 (fully oriented in either of the two equivalent directions in an L×L square lattice). A Monte Carlo (MC) algorithm is implemented to induce a dynamics allowing for accommodation of the rods for any given density or coverage θ (ratio of the occupied sites over all the sites in the lattice). The files storing δ(t) (with time t measured in MC steps) are then treated by data recognizer wlzip based on data compressor techniques yielding the information content measured by a parameter η(θ). This allows us to recognize two maxima separated by a well-defined minimum for η(θ) provided k≥7. The first maximum is associated with an isotropic-nematic (I-N) phase transition occurring at intermediate density, while the second maximum is associated with some kind of nematic-isotropic transition at high coverage. In the cases of k<7, the curves for η(θ) are almost constant, presenting a very broad maximum which can hardly be associated with a phase transition. The study varies L and k, allowing for a basic scaling of the found critical densities towards the thermodynamic limit. These calculations confirm the tendency obtained by different methods in the case of the intermediate-density I-N phase transition, while this tendency is established here in the case of the high-density phase transition.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Phase Transition
dc.subject
Two-Dimensional Lattices
dc.subject
Information Theory
dc.subject.classification
Física de los Materiales Condensados
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Phase transitions in a system of long rods on two-dimensional lattices by means of information theory
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-10-23T17:31:00Z
dc.journal.volume
96
dc.journal.number
6
dc.journal.pagination
1-7
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Ridge
dc.description.fil
Fil: Vogel, E. E.. Universidad de La Frontera; Chile. Center for the Development of Nanoscience and Nanotechnology; Chile
dc.description.fil
Fil: Saravia, Gregorio. Universidad de La Frontera; Chile
dc.description.fil
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
dc.journal.title
Physical Review E
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1103/PhysRevE.96.062133
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.062133
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