190 research outputs found
The Effects of Institutional Transformations on the Russian Doctoral Education Performance
Currently, enhancement of doctoral education performance is becoming one of the central tasks for state policy in the field of science and education. In 2013β2015 Russian doctoral education experienced radical transformations aimed to increase the performance of doctoral programs and enhance the quality of dissertations. First, doctoral education moved towards the structured (educational) model. Second, norms and rules of the work of dissertation boards changed significantly. The purpose of this study is to explore how these reforms affected the performance of doctoral education. The empirical base for the study comprises the data on dissertations defense of graduates of 2018 at 12 Russian universities (N=1022), which were collected by the authors using the web scraping technique. The main findings obtained from the analysis of these data are threefold. First, time-to-degree has increased with most of the dissertations now being defended only after the completion of the programs. Second, in social sciences, this delay of defense has intensified abnormally (80% of dissertation in this field are defended after the program completion). Third, the actual performance, i.e., one that takes into account dissertations defended after the program completion, has decreased significantly in social sciences and humanities. These results show that the traditional practice to evaluate performance based on the proportion of graduates who defend their dissertations during the normative period of time does not reflect the reality. To made adequate managerial decisions regarding doctoral education, it is necessary to arrange the monitoring of dynamics of dissertations that are defended after the program completion both on institution and state levels
Exact Self-consistent Particle-like Solutions to the Equations of Nonlinear Scalar Electrodynamics in General Relativity
Exact self-consistent particle-like solutions with spherical and/or
cylindrical symmetry to the equations governing the interacting system of
scalar, electromagnetic and gravitational fields have been obtained. As a
particular case it is shown that the equations of motion admit a special kind
of solutions with sharp boundary known as droplets. For these solutions, the
physical fields vanish and the space-time is flat outside of the critical
sphere or cylinder. Therefore, the mass and the electric charge of these
configurations are zero.Comment: 17 pages, Submitted to the International Journal of Theoretical
Physic
1,10-diaza-18-crown-ether, modified by phosphonate pendant arms - Synthesis, structure, and picrate extraction properties
Reaction of O,Oβ²-diisopropyl-3-methyl-1,2-butadienylphosphonate with 1,10-diaza-18-crown-6 in the presence of a catalytic amount of iPrONa leads to the new crown-ether derivative, containing phosphonate pendant arms (L). The structure of the compound obtained was investigated by single crystal X-ray diffraction analysis, IR, 1H and 31P{1H} NMR spectroscopy, and microanalysis. In the crystal structure the side arms of L are in an anti disposition relative to the macrocyclic cavity. It was established that phosphorylation of 1,10-diaza-18-crown-6 by allenylphosphonate results in an increase of extraction of NaPic and KPic, whereas LiPic and NH4Pic are extracted practically in the same level. Β© 2008 Wiley-VCH Verlag GmbH & Co. KGaA
Dynamical Toroidal Hopfions in a Ferromagnet with Easy-Axis Anisotropy
Three-dimensional toroidal precession solitons with a nonzero Hopf index,
which uniformly move along the anisotropy axis in a uniaxial ferromagnet, have
been found. The structure and existence region of the solitons have been
numerically determined by solving the Landau-Lifshitz equation.Comment: 6 pages, 4 figure
Professional Doctorates: International Experience and Russian Context
The diversification of forms and types of doctoral programs is currently a global trend. Universities across the globe offer programs that differ in the modes of training, characteristics of the target audience, and possible labor markets after graduation. In Russia, doctoral education exists in a unified format, focusing primarily on the academic labor market. Recently, there have been discussions about the need to expand the range of programs and the types of academic degrees in Russia. In this article, we present the analysis of professional doctoral programs: in response to what challenges and needs they appeared, how they are implemented, in what forms they exist. In addition, we consider the Russian experience of implementing professional doctoral programs; analyze the existing opportunities and barriers for their development. Based on the analysis, we came to a conclusion about the relevance of the professional doctoral programsβ development in Russia, the expediency of simplifying the conditions for their implementation and legitimizing special requirements for the design of dissertations with an applied orientation
Singly generated quasivarieties and residuated structures
A quasivariety K of algebras has the joint embedding property (JEP) iff it is
generated by a single algebra A. It is structurally complete iff the free
countably generated algebra in K can serve as A. A consequence of this demand,
called "passive structural completeness" (PSC), is that the nontrivial members
of K all satisfy the same existential positive sentences. We prove that if K is
PSC then it still has the JEP, and if it has the JEP and its nontrivial members
lack trivial subalgebras, then its relatively simple members all belong to the
universal class generated by one of them. Under these conditions, if K is
relatively semisimple then it is generated by one K-simple algebra. It is a
minimal quasivariety if, moreover, it is PSC but fails to unify some finite set
of equations. We also prove that a quasivariety of finite type, with a finite
nontrivial member, is PSC iff its nontrivial members have a common retract. The
theory is then applied to the variety of De Morgan monoids, where we isolate
the sub(quasi)varieties that are PSC and those that have the JEP, while
throwing fresh light on those that are structurally complete. The results
illuminate the extension lattices of intuitionistic and relevance logics
Metaheuristic conditional neural network for harvesting skyrmionic metastable states
We present a metaheuristic conditional neural-network-based method aimed at
identifying physically interesting metastable states in a potential energy
surface of high rugosity. To demonstrate how this method works, we identify and
analyze spin textures with topological charge ranging from 1 to
(where antiskyrmions have ) in the Pd/Fe/Ir(111) system, which we model
using a classical atomistic spin Hamiltonian based on parameters computed from
density functional theory. To facilitate the harvest of relevant spin textures,
we make use of the newly developed Segment Anything Model (SAM). Spin textures
with ranging from to are further analyzed using
finite-temperature spin-dynamics simulations. We observe that for temperatures
up to around 20\,K, lifetimes longer than 200\,ps are predicted, and that when
these textures decay, new topological spin textures are formed. We also find
that the relative stability of the spin textures depend linearly on the
topological charge, but only when comparing the most stable antiskyrmions for
each topological charge. In general, the number of holes (i.e.,
non-self-intersecting curves that define closed domain walls in the structure)
in the spin texture is an important predictor of stability -- the more holes,
the less stable is the texture. Methods for systematic identification and
characterization of complex metastable skyrmionic textures -- such as the one
demonstrated here -- are highly relevant for advancements in the field of
topological spintronics
Practice-based doctoral programs and professional degrees: analysis of foreign experience
Practical-oriented postgraduate programs aimed at developing graduatesβ professional career outside the academic labor market have become widespread in leading foreign universities. There is a statutory unified format of postgraduate studies in Russia, aimed at training of personnel for science and higher education. At the same time, the need of adaptation of postgraduate training programs to the demands of the real economy sector is becoming more evident. The purpose of this review is to analyze scientific publications and case studies of foreign universities implementing practical-oriented postgraduate programs with professional degrees, which are equivalent to PhD in social status. Drawing on the analysis of international experience, the prospects of the establishment and development of such programs in Russian postgraduate studies are discussed. The study identified the most common characteristics of practical-oriented programs and their differences from academic postgraduate programs: 1) studentsβ involvement in applied research, which is relevant for the real economy sector; 2) an individual approach for postgraduate education considering professional interests of the students and employersβ demands; 3) a clearly structured system of education and scientific management, based on cooperation of universities and enterprises; 4) using innovative forms of final academic assessment. Based on the analysis of Russian experience it is concluded that practical-oriented training for postgraduate students is in demand and in fact already exists, but is not provided with necessary statutory regulation. It is pointed out that, owing to a lack of data, the extent of this arrangement and key barriers on the way to a degree among Russian practical-oriented postgraduate students have not been studied. The main directions of empirical research, which are necessary for making adequate management decisions on institutionalizing practical-oriented postgraduate programs in Russia, have been formulated. The article is of interest to researchers of higher education, scientific, pedagogical and administrative employees of higher education institutions, as well as for the state authorities responsible for implementing the policy of education and certification of highly trained personnel.Π Π²Π΅Π΄ΡΡΠΈΡ
Π·Π°ΡΡΠ±Π΅ΠΆΠ½ΡΡ
ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ°Ρ
ΡΠΈΡΠΎΠΊΠΎΠ΅ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½ΠΈΠ΅ ΠΏΠΎΠ»ΡΡΠΈΠ»ΠΈ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠ΅ Π°ΡΠΏΠΈΡΠ°Π½ΡΡΠΊΠΈΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ, Π½Π°ΡΠ΅Π»Π΅Π½Π½ΡΠ΅ Π½Π° ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ ΠΊΠ°ΡΡΠ΅ΡΡ Π²ΡΠΏΡΡΠΊΠ½ΠΈΠΊΠΎΠ² Π·Π° ΠΏΡΠ΅Π΄Π΅Π»Π°ΠΌΠΈ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΡΠ½ΠΊΠ° ΡΡΡΠ΄Π°. Π Π ΠΎΡΡΠΈΠΈ Π½ΠΎΡΠΌΠ°ΡΠΈΠ²Π½ΠΎ Π·Π°ΠΊΡΠ΅ΠΏΠ»Π΅Π½ ΡΠ½ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΡΠΎΡΠΌΠ°Ρ Π°ΡΠΏΠΈΡΠ°Π½ΡΡΡΡ, ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ Π½Π° ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΡ ΠΊΠ°Π΄ΡΠΎΠ² Π΄Π»Ρ Π½Π°ΡΠΊΠΈ ΠΈ Π²ΡΡΡΠ΅ΠΉ ΡΠΊΠΎΠ»Ρ. ΠΡΠΈ ΡΡΠΎΠΌ Π²ΡΠ΅ Π±ΠΎΠ»Π΅Π΅ ΠΎΡΠ΅Π²ΠΈΠ΄Π½ΠΎΠΉ ΡΡΠ°Π½ΠΎΠ²ΠΈΡΡΡ ΠΏΠΎΡΡΠ΅Π±Π½ΠΎΡΡΡ Π² Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ ΠΈΠ½ΡΡΠΈΡΡΡΠ° Π°ΡΠΏΠΈΡΠ°Π½ΡΡΡΡ ΠΊ Π·Π°ΠΏΡΠΎΡΠ°ΠΌ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ. Π¦Π΅Π»ΡΡ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΎΠ±Π·ΠΎΡΠ° ΡΠ²Π»ΡΠ΅ΡΡΡ Π°Π½Π°Π»ΠΈΠ· Π½Π°ΡΡΠ½ΡΡ
ΠΏΡΠ±Π»ΠΈΠΊΠ°ΡΠΈΠΉ ΠΈ ΠΊΠ΅ΠΉΡΠΎΠ² Π·Π°ΡΡΠ±Π΅ΠΆΠ½ΡΡ
ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠΎΠ², ΡΠ΅Π°Π»ΠΈΠ·ΡΡΡΠΈΡ
ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠ΅ Π°ΡΠΏΠΈΡΠ°Π½ΡΡΠΊΠΈΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ Ρ ΠΏΡΠΈΡΡΠΆΠ΄Π΅Π½ΠΈΠ΅ΠΌ ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΡ
ΡΡΠ΅ΠΏΠ΅Π½Π΅ΠΉ, ΡΠΊΠ²ΠΈΠ²Π°Π»Π΅Π½ΡΠ½ΡΡ
ΠΏΠΎ ΡΠ²ΠΎΠ΅ΠΌΡ ΠΎΠ±ΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠΌΡ ΡΡΠ°ΡΡΡΡ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΠΈ Ph D. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π°Π½Π°Π»ΠΈΠ·Π° ΠΌΠ΅ΠΆΠ΄ΡΠ½Π°ΡΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΎΠΏΡΡΠ° ΠΎΠ±ΡΡΠΆΠ΄Π°ΡΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Ρ ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΈΡ ΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΏΠΎΠ΄ΠΎΠ±Π½ΡΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Π² ΡΠΎΡΡΠΈΠΉΡΠΊΠΎΠΉ Π°ΡΠΏΠΈΡΠ°Π½ΡΡΡΠ΅. Π ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π²ΡΡΠ²Π»Π΅Π½Ρ Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ ΠΎΠ±ΡΠΈΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ ΠΈ ΠΈΡ
ΠΎΡΠ»ΠΈΡΠΈΡ ΠΎΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ Π°ΡΠΏΠΈΡΠ°Π½ΡΡΡΡ: 1) Π²ΠΎΠ²Π»Π΅ΡΠ΅Π½Π½ΠΎΡΡΡ ΠΎΠ±ΡΡΠ°ΡΡΠΈΡ
ΡΡ Π² ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΡΡΠΈΠ΅ ΠΈΠ½ΡΠ΅ΡΠ΅Ρ Π΄Π»Ρ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ; 2) ΠΈΠ½Π΄ΠΈΠ²ΠΈΠ΄ΡΠ°Π»ΡΠ½ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠ΅ Π°ΡΠΏΠΈΡΠ°Π½ΡΠΎΠ², ΡΡΠΈΡΡΠ²Π°ΡΡΠΈΠΉ ΠΈΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠ΅ ΠΈΠ½ΡΠ΅ΡΠ΅ΡΡ ΠΈ Π·Π°ΠΏΡΠΎΡΡ ΡΠ°Π±ΠΎΡΠΎΠ΄Π°ΡΠ΅Π»Π΅ΠΉ; 3) ΡΠ΅ΡΠΊΠΎ ΡΡΡΡΠΊΡΡΡΠΈΡΠΎΠ²Π°Π½Π½Π°Ρ ΡΠΈΡΡΠ΅ΠΌΠ° ΠΎΠ±ΡΡΠ΅Π½ΠΈΡ ΠΈ ΡΡΠΊΠΎΠ²ΠΎΠ΄ΡΡΠ²Π° Π΄ΠΈΡΡΠ΅ΡΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΡΠ°Π±ΠΎΡΠ°ΠΌΠΈ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½Π°Ρ Π½Π° ΡΠΎΡΡΡΠ΄Π½ΠΈΡΠ΅ΡΡΠ²Π΅ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠΎΠ² ΠΈ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ; 4) ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΡΡ
ΡΠΎΡΠΌ ΠΈΡΠΎΠ³ΠΎΠ²ΠΎΠΉ Π°ΡΡΠ΅ΡΡΠ°ΡΠΈΠΈ Π²ΡΠΏΡΡΠΊΠ½ΠΈΠΊΠΎΠ². ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π°Π½Π°Π»ΠΈΠ·Π° ΡΠΎΡΡΠΈΠΉΡΠΊΠΎΠ³ΠΎ ΠΎΠΏΡΡΠ° Π΄Π΅Π»Π°Π΅ΡΡΡ Π²ΡΠ²ΠΎΠ΄ ΠΎ ΡΠΎΠΌ, ΡΡΠΎ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½Π°Ρ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠ° Π°ΡΠΏΠΈΡΠ°Π½ΡΠΎΠ² Π²ΠΎΡΡΡΠ΅Π±ΠΎΠ²Π°Π½Π° ΠΈ Π΄Π΅-ΡΠ°ΠΊΡΠΎ ΡΠΆΠ΅ ΡΡΡΠ΅ΡΡΠ²ΡΠ΅Ρ, Π½ΠΎ Π½Π΅ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½Π° Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΠΌ Π½ΠΎΡΠΌΠ°ΡΠΈΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΡΠΌ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ. ΠΡΠΌΠ΅ΡΠ°Π΅ΡΡΡ, ΡΡΠΎ Π²ΡΠ»Π΅Π΄ΡΡΠ²ΠΈΠ΅ Π΄Π΅ΡΠΈΡΠΈΡΠ° Π΄Π°Π½Π½ΡΡ
ΠΌΠ°ΡΡΡΠ°Π±Ρ ΡΠ°ΠΊΠΎΠΉ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΠΈ ΠΊΠ»ΡΡΠ΅Π²ΡΠ΅ Π±Π°ΡΡΠ΅ΡΡ Π½Π° ΠΏΡΡΠΈ ΠΊ ΡΡΠ΅Π½ΠΎΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΠΈ Ρ ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
Π°ΡΠΏΠΈΡΠ°Π½ΡΠΎΠ²-ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎΠ² ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ ΠΈΠ·ΡΡΠ΅Π½Ρ. Π‘ΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²Π°Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ, Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΡ
Π΄Π»Ρ ΠΏΡΠΈΠ½ΡΡΠΈΡ Π°Π΄Π΅ΠΊΠ²Π°ΡΠ½ΡΡ
ΡΠΏΡΠ°Π²Π»Π΅Π½ΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ ΠΏΠΎ ΠΈΠ½ΡΡΠΈΡΡΡΠΈΠΎΠ½Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎ-ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
Π°ΡΠΏΠΈΡΠ°Π½ΡΡΠΊΠΈΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Π² Π ΠΎΡΡΠΈΠΈ. Π‘ΡΠ°ΡΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΠΈΠ½ΡΠ΅ΡΠ΅Ρ Π΄Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»Π΅ΠΉ Π²ΡΡΡΠ΅Π³ΠΎ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ, Π½Π°ΡΡΠ½ΠΎ-ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ Π°Π΄ΠΌΠΈΠ½ΠΈΡΡΡΠ°ΡΠΈΠ²Π½ΡΡ
ΡΠ°Π±ΠΎΡΠ½ΠΈΠΊΠΎΠ² Π²ΡΠ·ΠΎΠ², Π° ΡΠ°ΠΊΠΆΠ΅ Π΄Π»Ρ ΠΎΡΠ³Π°Π½ΠΎΠ² Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠΉ Π²Π»Π°ΡΡΠΈ, ΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΡΡ
Π·Π° ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΡ ΠΏΠΎΠ»ΠΈΡΠΈΠΊΠΈ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΠΈ Π°ΡΡΠ΅ΡΡΠ°ΡΠΈΠΈ ΠΊΠ°Π΄ΡΠΎΠ² Π²ΡΡΡΠ΅ΠΉ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ
Scalar field in cosmology: Potential for isotropization and inflation
The important role of scalar field in cosmology was noticed by a number of
authors. Due to the fact that the scalar field possesses zero spin, it was
basically considered in isotropic cosmological models. If considered in an
anisotropic model, the linear scalar field does not lead to isotropization of
expansion process. One needs to introduce scalar field with nonlinear potential
for the isotropization process to take place. In this paper the general form of
scalar field potentials leading to the asymptotic isotropization in case of
Bianchi type-I cosmological model, and inflationary regime in case of isotropic
space-time is obtained. In doing so we solved both direct and inverse problem,
where by direct problem we mean to find metric functions and scalar field for
the given potential, whereas, the inverse problem means to find the potential
and scalar field for the given metric function. The scalar field potentials
leading to the inflation and isotropization were found both for harmonic and
proper synchronic time.Comment: 10 page
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