D. S. Simeão

Universidade Tecnológica Federal do Paraná

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M. Simões

University of Lisbon

S. M. Domiciano

Universidade Tecnológica Federal do Paraná

K. Yamaguti

Universidade Estadual de Londrina

F. S. Alves

Universidade Tecnológica Federal do Paraná

Edivandro Girotto

Universidade Federal de Santa Catarina

Ivan H. Bechtold

Universidade Federal de Santa Catarina

Thamires dos Santos Moreira

Université Paris Cité

A. de Campos

Aix-Marseille Université

Manuel Simões

Universidade Estadual de Londrina

Andrew P. Monkman

Durham University

Cooperative Institutions

Universidade Estadual de Londrina

Universidade Federal de Santa Catarina

Centre National de la Recherche Scientifique

Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina

Université de Bordeaux

Center for Research in Psychopathology and Clinical Psychology

Paul Pascal Research Center

Universidade Estadual de Maringá

Universidade Regional de Blumenau

Silesian University of Technology

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A Geometrical Approach to the Miesowicz's Coefficients

Molecular Crystals and Liquid Crystals (2013)

S. M. Domiciano M. Simões D. S. Simeão F. S. Alves

Here we will show how the use of a geometrical approach leads to a reduction of the number of the viscosity coefficients of the nematic liquid crystals. Usually they are described by five free parameters; we will show that a geometrical approach can reduce this number to three. This result will follow from the modified version of the Hess-Baalss approach. As a consequence of the application of the Onsager relation, these three viscosity terms become related by the effective eccentricity of the nematic grain, leading to a connection between the Miesowicz's coefficients.

Eccentricity (behavior)

10.1080/15421406.2013.789697

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Citations (1)

Global behaviour of the order parameter in nematic phase

Liquid Crystals (2011)

M. Simões D. S. Simeão K. Yamaguti

Abstract In this paper we study the behaviour of the order parameter of the nematic phase for all temperatures of the phase: from the neighbourhoods of the nematic crystalline phase transition region to the neighbourhoods of the nematic isotropic phase transition region. To do this, we use experimental birefringence data and thermal anisotropy conductivity data in a recursive process that makes an independent and local calculation of the order parameter exponent β(T) for each temperature value T. With these data, and with this procedure, we construct the profile of β(T) and reveal that it remains constant along the entire range of the phase. Keywords: nematic phaseorder parameterorder parameter exponent Acknowledgements We are grateful to the Brazilian Agencies CAPES, Fundação Araucária (PR) and CNPq for financial support given to this work.

Exponent

Biaxial nematic

10.1080/02678292.2011.587131

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Citations (17)

Corresponding states in the smectic-A phase

Liquid Crystals (2017)

Manuel Simões R. A. Amaral D. S. Simeão K. Yamaguti N.M. Kimura

In the last few years, experimental data of many different sources has been gathered to show that order parameter curves of essentially all nematic liquid crystals (NLCs) compounds can be reduced to a single and universal curve of the corresponding states; experimental data of an impressive number of different nematic compounds has been linearly rescaled in such a way that all them coalesced in a single curve. The surprising novelty observed on NLCs is that this universal behaviour is not restricted to the neighbourhoods of a critical region, as is usually expected from critical phenomena, but it covers the entire domain of the nematic phase, from the nematic isotropic temperature to the nematic crystalline temperature. The aim of this paper is to study the statistical mechanics fundamentals of this behaviour and show that it is a consequence of the universality of the angular part of the potential of the interaction between the particles composing the liquid crystal (LC). We will illustrate this behaviour presenting evidences that it can be found on the smectic-A phase.

Biaxial nematic

Statistical Mechanics

10.1080/02678292.2017.1281449

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Citations (0)

Corresponding states of nematic birefringence: an order parameter universality

The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics (2007)

M. Simões D. S. Simeão A. de Campos A. J. Palangana

In this work, experimental birefringence data of several nematic liquid crystals, which share the presence of a nematic–isotropic and a nematic–crystalline phase transition, are used to show that the birefringence presents a universal behaviour which encompasses the entire range of the nematic phase. The meaning and consequences of such behaviour are discussed; as the order parameter is proportional to the birefringence, this result implies that the order parameter has an extended universal profile, similar to a corresponding state law, which is independent of the liquid crystal compound and becomes determined once the temperature interval of the existence of the nematic compounds is obtained.

Biaxial nematic

10.1080/14786430701642282

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Citations (12)

An unusual plank-shaped nematogen with a graphene nanoribbon core

Journal of Materials Chemistry C (2019)

Giliandro Farias D. S. Simeão Thamires dos Santos Moreira Paloma L. dos Santos Ahmed Bentaleb

Laterally decorated ribbon-shaped graphene segments made of twelve benzene units self-assemble into a nematic anisotropic glass at room temperature with high birefringence and polarized fluorescence.

Ribbon

Plank

10.1039/c9tc03704g

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Citations (6)

Corresponding states in nematic elasticity

Physical Review E (2006)

M. Simões D. S. Simeão

A comparative study of the temperature dependence of the elastic constants of the nematic liquid crystals known as PAA ($p$-azoxyanisole), MBBA ${4}^{\ensuremath{'}}$-methoxybenzylidene-4-$n$-butylaniline, and 5CB (4-$n$-pentyl-${4}^{\ensuremath{'}}$-cyanobiphenyl) will be made in this work. After a regularization of their values, and with use of a unique temperature scale, the experimental data of each of these parameters will be displayed along the lines of corresponding states that are not restricted to the neighborhoods of the nematic-isotropic phase transition point, as it would be the case in a usual corresponding states law, but encompass the entire nematic phase.

MBBA

Elasticity

Biaxial nematic

10.1103/physreve.73.062702

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Citations (17)

Global Order Parameter Critical Exponent: A Different Calculation Approach

Molecular Crystals and Liquid Crystals (2013)

D. S. Simeão M. Simões

In this paper we present an approach that permits to study the behavior of the nematic phase's order parameter exponent (β) for all temperatures of the phase; our method makes an independent calculation of β for each temperature value T. Here use hypothetical data to analyze the consistence of the results, the limitation of the experimental data usability and the influences of the experimental errors on the β(T) curves. After that, we use experimental data to show that the order parameter critical-like exponent presents a constant behavior along the entire domain of the nematic phase.

Exponent

Constant (computer programming)

Experimental data

Value (mathematics)

10.1080/15421406.2013.789707

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Citations (7)

Universal Nature of the Nematic Phase

Molecular Crystals and Liquid Crystals (2013)

M. Simões D. S. Simeão S. M. Domiciano

In this paper, we synthesize and resume some previous results found on the universality of the nematic phase's anisotropic behavior. Throughout a linear transformation on the experimental data of some anisotropic macroscopic properties, we show that the corresponding points become distributed along universal lines that extend along the entire range of the nematic phase, from the nematic-isotropic phase-transition region until the nematic-crystalline phase-transition region. We also show that the universal curve of the order parameter is characterized by a singular power law behavior, with a single exponent that encompasses the entire range of the nematic phase.

Exponent

Biaxial nematic

10.1080/15421406.2013.789705

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Citations (6)

Corresponding states of order parameter in nematic liquid crystals

Physical Review E (2006)

M. Simões D. S. Simeão

In this work, experimental data points from which the profile of the order parameter of nematic liquid crystals can be obtained, mainly magnetic susceptibility anisotropy and dielectric anisotropy, will be used to show that when rescaled they coalesce along a common line that extends from the nematic-isotropic phase transition region, until the nematic-crystalline phase transition region. A large set of experimental data of a diversity of nematic compounds that share the presence of a nematic-isotropic and a nematic-crystalline phase transition, without another phase within, has been collected from the liquid crystals literature. Taking for each of them the temperatures of these two phase transitions as fixed points, a common temperature scale has been constructed and, in this scale, the value of each physical quantity has been uniformly fixed at the nematic-crystalline phase transition temperature. This procedure has revealed the existence of a law of corresponding states that covers the entire nematic phase. As the values assumed by these physical quantities can be used to measure the macroscopic order parameter, the use of this temperature scale suggests that it presents a common behavior that covers the entire nematic phase.

Biaxial nematic

10.1103/physreve.74.051701

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Citations (24)

Nematic universality

Physics Letters A (2008)

M. Simões D. S. Simeão S. M. Domiciano A. de Campos

10.1016/j.physleta.2008.06.046

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Citations (5)