techusguИзвестия Юго-Западного государственного университета. Серия: Техника и технологииProceedings of the Southwest State University. Series: Engineering and Technology2223-1528Юго-Западный государственный университет10.21869/2223-1528-2023-13-3-182-198techusgu-174Research ArticleФИЗИКАPHYSICSОриентационные переходы в магнитокомпенсированных жидкокристаллических суспензиях ферромагнитных углеродных нанотрубокOrientational Transitions in Magnetically Compensated Liquid-Crystal Suspensions of Ferromagnetic Carbon Nanotubeshttps://orcid.org/0009-0007-7831-6522ЧупеевИ. А.ChupeevI. A.

Чупеев Илья Алексеевич, аспирант кафедрыфизики фазовых переходов

 ул. Букирева, д. 15, г. Пермь 614990, Российская Федерация 

Ilya A. Chupeev, Post-Graduate Student of Physics of Phase Transitions Department 

15 Bukireva Str., Perm 614990, Russian Federation 

ilya.chupeev@mail.ruhttps://orcid.org/0000-0002-4324-4860ПетровД. А.PetrovD. A.

Петров Данил Александрович, кандидат физико-математических наук, доцент, доцент кафедры физики фазовых переходов, ведущий научный сотрудник лаборатории магнитных дисперсных средResearch ID: P-5952-2015,Scopus Author ID: 16507552000 

 ул. Букирева, д. 15, г. Пермь 614990, Российская Федерация 

Danil A. Petrov, Candidate of Sciences (Physics and Mathematics), Associate Professor, Associate Professor of Physics of Phase Transitions Department,  Leading Researcher of the Laboratory of Magnetic Disperse Media 

15 Bukireva Str., Perm 614990, Russian Federation 

petrovda@bk.ruПермский государственный национальный исследовательский университетРоссияPerm State UniversityRussian Federation202329092023133182198Copyright © Чупеев И.А., Петров Д.А., 20232023Чупеев И.А., Петров Д.А.Chupeev I.A., Petrov D.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://techusgu.elpub.ru/jour/article/view/174

Целью работы является изучение влияния ферромагнитных углеродных нанотрубок на ориентационные переходы в магнитокомпенсированных жидкокристаллических суспензиях.Методы. Задача решалась в рамках континуальной теории. Путем минимизации функционала свободной энергии Гельмгольца получена система уравнений Лагранжа – Эйлера, определяющая равновесные зависимости углов ориентации директоров жидкого кристалла и примесных ферромагнитных углеродных нанотрубок, а также концентрационные распределения дисперсной фазы суспензии как функции поперечной координаты, материальных параметров и напряженности магнитного поля.Результаты. Показано, что в присутствии внешнего магнитного поля жидкокристаллическая суспензия ферромагнитных углеродных нанотрубок может находиться в неоднородной фазе (угловая фаза) и двух однородных фазах (планарная и гомеотропная фазы). Аналитически получены выражения для пороговых полей переходов между сосуществующими ориентационными фазами как функции материальных параметров композита. Построены диаграммы ориентационных фаз суспензии.Заключение. В результате исследований показано, что добавление малых концентраций ферромагнитных углеродных нанотрубок может существенно понизить порог магнитного перехода Фредерикса по сравнению с чистым жидким кристаллом, что является важным для различных технических приложений. Полученные аналитические формулы для пороговых полей переходов между различными ориентационными фазами могут применяться для определения энергии сцепления и материальных параметров суспензий ферромагнитных углеродных нанотрубок в жидком кристалле.

Purpose of research is to study the influence of ferromagnetic carbon nanotubes on orientational transitions in magnetically compensated liquid-crystal suspensions.Methods. The problem was solved in the framework of the continuum theory. By minimizing the Helmholtz free energy functional, a system of Lagrange-Euler equations is obtained that determines the equilibrium dependences of the orientation angles of liquid crystal and impurity ferromagnetic carbon nanotubes directors, as well as the concentration distributions of the dispersed phase of the suspension as a function of the transverse coordinate, material parameters, and magnetic field strength.Results. It is shown that in the presence of an external magnetic field, a liquid-crystal suspension of ferromagnetic carbon nanotubes can be in a non-uniform phase (angular phase) and two uniform phases (planar and homeotropic phases). Expressions for the threshold fields of transitions between coexisting orientational phases are obtained analytically as functions of the material parameters of the composite. Diagrams of the orientational phases of the suspension are plotted.Conclusion. As a result of the research, it was shown that the addition of low concentrations of ferromagnetic carbon nanotubes can significantly reduce the threshold of the magnetic Fréedericksz transition compared to a pure liquid crystal, which is important for various technical applications. The obtained analytical formulas for the threshold fields of transitions between different orientational phases can be used to determine the anchoring energy and material parameters of suspensions of ferromagnetic carbon nanotubes in a liquid crystal.

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The authors declare that there are no conflicts of interest present.