Biaxial nematic stability in the rod-plate mixture with a dopant: The restricted-orientation model on the 3rd virial level

E. P. Sokolova, A. Yu Vlasov, A. V. Venediktova

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

We analyze the effect of doping a binary mixture of uniaxial rod(R)- and plate(P)-like hard parallelepipeds having equal volumes and conjugated aspect ratios γR = 1/γP = 5. Uniaxial rods (L) or plates (T) with greater elongations γL = 1/γT = 10 were used as an admixture. The aim of the work is to examine this effect as a possible tool to stabilize the biaxial (Nb) phase in the P–R mixture, where Nb is known to be unstable with respect to demixing into two uniaxial nematics. The formalism to study orientational phase transitions is the off-lattice restricted-orientation (Zwanzig) model of a multi-component mixture of rectangular parallelepipeds with the EOS on the 3rd virial level. The phase biaxiality parameters of components and the second-order transition lines are located by direct minimization of the Gibbs energy. The results obtained by the examples of ternary systems show that introducing of small amounts of L or T into the reference P–R system promotes broadening of the Nb domain and may induce its stabilization. The case of L admixtures shows that an increase of the dopant particle volume results in a trend towards enhancement of the Nb phase relative stability.

Язык оригиналаанглийский
Страницы (с-по)428-435
Число страниц8
ЖурналColloids and Surfaces A: Physicochemical and Engineering Aspects
Том532
DOI
СостояниеОпубликовано - 5 ноя 2017

Отпечаток

parallelepipeds
admixtures
rods
Doping (additives)
reference systems
Gibbs free energy
Ternary systems
ternary systems
Binary mixtures
binary mixtures
elongation
aspect ratio
Aspect ratio
Elongation
Stabilization
stabilization
Phase transitions
formalism
trends
optimization

Предметные области Scopus

  • Поверхности и интерфейсы
  • Физическая и теоретическая химия
  • Коллоидная химия и химия поверхности

Цитировать

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title = "Biaxial nematic stability in the rod-plate mixture with a dopant: The restricted-orientation model on the 3rd virial level",
abstract = "We analyze the effect of doping a binary mixture of uniaxial rod(R)- and plate(P)-like hard parallelepipeds having equal volumes and conjugated aspect ratios γR = 1/γP = 5. Uniaxial rods (L) or plates (T) with greater elongations γL = 1/γT = 10 were used as an admixture. The aim of the work is to examine this effect as a possible tool to stabilize the biaxial (Nb) phase in the P–R mixture, where Nb is known to be unstable with respect to demixing into two uniaxial nematics. The formalism to study orientational phase transitions is the off-lattice restricted-orientation (Zwanzig) model of a multi-component mixture of rectangular parallelepipeds with the EOS on the 3rd virial level. The phase biaxiality parameters of components and the second-order transition lines are located by direct minimization of the Gibbs energy. The results obtained by the examples of ternary systems show that introducing of small amounts of L or T into the reference P–R system promotes broadening of the Nb domain and may induce its stabilization. The case of L admixtures shows that an increase of the dopant particle volume results in a trend towards enhancement of the Nb phase relative stability.",
keywords = "Biaxial nematic, Liquid crystals, Phase diagram, Thermodynamic modeling, Thermodynamic stability",
author = "Sokolova, {E. P.} and Vlasov, {A. Yu} and Venediktova, {A. V.}",
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Biaxial nematic stability in the rod-plate mixture with a dopant : The restricted-orientation model on the 3rd virial level. / Sokolova, E. P.; Vlasov, A. Yu; Venediktova, A. V.

В: Colloids and Surfaces A: Physicochemical and Engineering Aspects, Том 532, 05.11.2017, стр. 428-435.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Biaxial nematic stability in the rod-plate mixture with a dopant

T2 - The restricted-orientation model on the 3rd virial level

AU - Sokolova, E. P.

AU - Vlasov, A. Yu

AU - Venediktova, A. V.

PY - 2017/11/5

Y1 - 2017/11/5

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AB - We analyze the effect of doping a binary mixture of uniaxial rod(R)- and plate(P)-like hard parallelepipeds having equal volumes and conjugated aspect ratios γR = 1/γP = 5. Uniaxial rods (L) or plates (T) with greater elongations γL = 1/γT = 10 were used as an admixture. The aim of the work is to examine this effect as a possible tool to stabilize the biaxial (Nb) phase in the P–R mixture, where Nb is known to be unstable with respect to demixing into two uniaxial nematics. The formalism to study orientational phase transitions is the off-lattice restricted-orientation (Zwanzig) model of a multi-component mixture of rectangular parallelepipeds with the EOS on the 3rd virial level. The phase biaxiality parameters of components and the second-order transition lines are located by direct minimization of the Gibbs energy. The results obtained by the examples of ternary systems show that introducing of small amounts of L or T into the reference P–R system promotes broadening of the Nb domain and may induce its stabilization. The case of L admixtures shows that an increase of the dopant particle volume results in a trend towards enhancement of the Nb phase relative stability.

KW - Biaxial nematic

KW - Liquid crystals

KW - Phase diagram

KW - Thermodynamic modeling

KW - Thermodynamic stability

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