Repositorio
Institucional

Ramirez-Pastor, A. J.

Vogel, E. E.#Saravia, G.

Phase transitions in a system of long rods on two-dimensional lattices by means of information theory

AMER PHYSICAL SOC

PHYSICAL REVIEW E

en

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 delta, 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 x 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 theta (ratio of the occupied sites over all the sites in the lattice). The files storing delta(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 eta(theta). This allows us to recognize two maxima separated by a well-defined minimum for eta(theta) 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 eta(theta) 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.

Artículo original

This work was supported in part by CONICET (Argentina) under Project No. PIP 112-201101-00615, Universidad Nacional de San Luis (Argentina) under Project No. 03-0816, and the National Agency of Scientific and Technological Promotion (Argentina) under Project No. PICT-2013-1678. Partial support from the following Chilean sources is acknowledged:FONDECY Tunder Contract No. 1150019 and Financiamiento Basal para Centros Cientificos y Tecnologicos de Excelencia through the Center for Development of Nanoscience and Nanotechnology under Contract No. FB0807.

Este trabajo fue financiado parcialmente por el CONICET (Argentina) a través del Proyecto n.º PIP 112-201101-00615, la Universidad Nacional de San Luis (Argentina) a través del Proyecto n.º 03-0816 y la Agencia Nacional de Promoción Científica y Tecnológica (Argentina) a través del Proyecto n.º PICT-2013-1678. Se agradece el apoyo parcial de las siguientes fuentes chilenas: FONDECY T, contrato n.º 1150019, y Financiamiento Basal para Centros Científicos y Tecnológicos de Excelencia, a través del Centro para el Desarrollo de la Nanociencia y la Nanotecnología, contrato n.º FB0807.

10.1103/PhysRevE.96.062133

pdf

http://dx.doi.org/10.1103/PhysRevE.96.062133

Physics, Fluids & Plasmas# Physics, Mathematical

Física de la Materia Condensada

Otras Especialidades de la Física

Ciencias de la Información y Bioinformática

WOS:000418381500001

Phase transitions in a system of long rods on two-dimensional lattices by means of information theory

http://hdl.handle.net/11336/63857

Artículo original

version publicada

AMER PHYSICAL SOC

PHYSICAL REVIEW E

Física, Fluidos y Plasmas# Física, Matemáticas

2470-0045

en

CONICET PIP 112-201101-00615#UNSL 03-0816#ANCyT PICT-2013-1678#ANID FONDECY 1150019

CONICET PIP 112-201101-00615

UNSL 03-0816

National Agency of Scientific and Technological Promotion (Argentina) PICT-2013-1678

ANID FONDECY 1150019

Centre de Nanosciences et de Nanotechnologies FB0807

This work was supported in part by CONICET (Argentina) under Project No. PIP 112-201101-00615, Universidad Nacional de San Luis (Argentina) under Project No. 03-0816, and the National Agency of Scientific and Technological Promotion (Argentina) under Project No. PICT-2013-1678. Partial support from the following Chilean sources is acknowledged:FONDECY Tunder Contract No. 1150019 and Financiamiento Basal para Centros Cientificos y Tecnologicos de Excelencia through the Center for Development of Nanoscience and Nanotechnology under Contract No. FB0807.

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