Thermodynamics of the quantum su(1,1)su(1,1) Landau-Lifshitz model

We present thermodynamics of the quantum su(1,1) Landau-Lifshitz model, following our earlier exposition [J. Math. Phys. 50, 103518 (2009)] of the quantum integrability of the theory, which is based on construction of self-adjoint extensions, leading to a regularized quantum Hamiltonian for an arbitrary n-particle sector. Starting from general discontinuity properties of the functions used to construct the self-adjoint extensions, we derive the thermodynamic Bethe Ansatz equations. We show that due to non-symmetric and singular kernel, the self-consistency implies that only negative chemical potential values are allowed, which leads to the conclusion that, unlike its su(2) counterpart, the su(1,1) LL theory at T=0 has no instabilities.Comment: 10 page

Higher charges and regularized quantum trace identities in su(1,1) Landau-Lifshitz model

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations.Comment: 27 pages; misprints corrected, references adde

Quantum integrability of the Alday-Arutyunov-Frolov model

We investigate the quantum integrability of the Alday-Arutyunov-Frolov (AAF) model by calculating the three-particle scattering amplitude at the first non-trivial order and showing that the S-matrix is factorizable at this order. We consider a more general fermionic model and find a necessary constraint to ensure its integrability at quantum level. We then show that the quantum integrability of the AAF model follows from this constraint. In the process, we also correct some missed points in earlier works.Comment: 40 pages; Replaced with published version. Appendix and comments adde

Essential L-Amino Acid-Functionalized Graphene Oxide for Liquid Crystalline Phase Formation

The colloidal 2D materials based on graphene and its modifications are of great interest when it comes to forming LC phases. These LC phases allow controlling the orientational order of colloidal particles, paving the way for the efficient processing of modified graphene with anisotropic properties. Here, we present the peculiarities of AA functionalization of GO, along with the formation of its LC phase and orientational behavior in an external magnetic field. We discuss the influence of pH on the GOLC, ultimately showing its pH-dependent behavior for GO-AA complexes. In addition, we observe different GO morphology changes due to the presence of AA functional groups, namely L-cysteine dimerization on the GO platform. The pH dependency of AA-functionalized LC phase of GO is examined for the first time. We believe that our studies will open new possibilities for applications in bionanotechnologies due to self-assembling properties of LCs and magnificent properties of GO.Comment: 10 pages, 16 figure

СТАТИСТИЧЕСКИЙ АНАЛИЗ РОССИЙСКОЙ СИСТЕМЫ ВЫСШЕГО ОБРАЗОВАНИЯ

The article presents the results of the statistical analysis of the Russian higher education system. The following issues are considered: specialization and departmental affiliation of higher education institutions; size of student body in higher education institutions and its distribution by the field of education; contribution of different types of higher education institutions in teaching specialists by the fields of education; geographical location of higher education institutions and the accessibility of higher education in various regions, branches of universities and their geographical location. This study is based on the data of the monitoring of effectiveness of higher education institutions, conducted in 2015. The specific feature of this study is high representativeness of the sample - 94,7% of universities and 93,4% of universities’ branches. Characteristics of higher education institutions and branches along with information on their activities are structured and graphically tabulated. The content of the article might be of interest to researchers and analysts in the field of education, because it contains processed and aggregated quantitative data describing the higher education system as a whole and in certain regions. Extensive network of Russian higher education institutions covers 84 subjects (constituent entities) and 421 cities of the country. The majority of higher education institutions and enrolled students accounts for the European part of Russia. The main part of universities and universities’ branches is located in major cities and administrative centers. Many universities are interdisciplinary and train students in different areas of education. There are also specialized higher education intuitions - medical, art, agricultural, which are training the majority of students in the specialized fields. One-third of Russian universities have branches that are usually located in the same subject or the federal district (this is particularly the case in the Central Federal District).В статье представлены результаты статистического анализа состояния российской системы высшего образования. Рас-смотрены следующие вопросы: специфика деятельности и ведомственная принадлежность организаций высшего образования, численность приведенного контингента студентов по организациям высшего образования и по областям образования, участие организаций высшего образования разного типа в подготовке специалистов (по областям образования), территориальное рас-положение организаций высшего образования и доступность высшего образования в различных регионах, филиалы вузов и их территориальное распределение.Исследование основано на данных Мониторинга эффективности образовательных организаций высшего образования, про-веденного в 2015 г. Министерством образования и науки Российской Федерации. Особенностью исследования является высокая репрезентативность выборки - 94,7% вузов и 93,4% филиалов. Характеристики вузов и филиалов, данные о результатах их деятельности структурированы по разным признакам и наглядно представлены в таблицах. Результаты анализа могут быть интересны для исследователей и аналитиков в сфере образования, поскольку содержат агрегированные количественные данные, характеризующие систему высшего образования как России в целом, так и ее отдельных регионов в частности.Разветвленная сеть российских организаций высшего образования охватывает 84 субъекта и 421 город страны. Большинство организаций высшего образования и обучающихся в них студентов находится в европейской части России. Основная часть вузов и филиалов расположена в крупных городах и городах - административных центрах. Как правило, вузы осуществляют подготовку студентов сразу по нескольким областям образования. Есть и специализированные вузы - медицинские, творческие, сельскохозяйственные, в которых большинство студентов обучается по профильным специальностям. Треть российских вузов имеют филиалы, которые в основном расположены в том же субъекте или федеральном округе Российской Федерации, что и головной вуз (это особенно характерно для организаций высшего образования Центрального федерального округа)