293 research outputs found
Proton configurations in the hydrogen bonds of KH2PO4 as seen by resonant x-ray diffraction
KH2PO4 (KDP) belongs to the class of hydrogen-bonded ferroelectrics, whose
paraelectric to ferroelectric phase transition is driven by the ordering of the
protons in the hydrogen bonds. We demonstrate that forbidden reflections of
KDP, when measured at an x-ray absorption edge, are highly sensitive to the
asymmetry of proton configurations. The change of average symmetry caused by
the "freezing" of the protons during the phase transition is clearly evidenced.
In the paraelectric phase, we identify in the resonant spectra of the forbidden
reflections a contribution related to the transient proton configurations in
the hydrogen bonds, which violates the high average symmetry of the sites of
the resonant atoms. The analysis of the temperature dependence reveals a change
of relative probabilities of the different proton configurations. They follow
the Arrhenius law, and the activation energies of polar and Slater
configurations are 18.6 and 7.3 meV, respectively
On the approaches to the formation of networking educational organizations
It presents possible approaches to the formation of network interaction of educational institutions; It examines the need to address the optimization, improving the quality and image of vocational teacher education, find ways to create a single scientific and educational space. One of the productive mechanisms of realization of these tasks, the authors see sustainable networking between educational institutionsΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΠ΅ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Ρ ΠΊ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ΅ΡΠ΅Π²ΠΎΠ³ΠΎ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΉ; ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π²ΠΎΠΏΡΠΎΡΠΎΠ² ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ, ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΡ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° ΠΈ ΠΈΠΌΠΈΠ΄ΠΆΠ° ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ, ΠΏΠΎΠΈΡΠΊΠ° ΠΏΡΡΠ΅ΠΉ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ Π΅Π΄ΠΈΠ½ΠΎΠ³ΠΎ Π½Π°ΡΡΠ½ΠΎ-ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π°. ΠΠ΄ΠΈΠ½ ΠΈΠ· ΠΏΡΠΎΠ΄ΡΠΊΡΠΈΠ²Π½ΡΡ
ΠΌΠ΅Ρ
Π°Π½ΠΈΠ·ΠΌΠΎΠ² ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΡΠΈΡ
Π·Π°Π΄Π°Ρ Π°Π²ΡΠΎΡΡ Π²ΠΈΠ΄ΡΡ Π² ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΠΌ ΡΠ΅ΡΠ΅Π²ΠΎΠΌ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΠΈ ΠΌΠ΅ΠΆΠ΄Ρ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΠΌΠΈ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΡΠΌ
Ruthenium-catalyzed azide alkyne cycloaddition reaction: scope, mechanism and applications
The ruthenium-catalyzed azide alkyne cycloaddition (RuAAC) affords 1,5-disubstituted 1,2,3-triazoles in one step and complements the more established copper-catalyzed reaction providing the 1,4-isomer. The RuAAC reaction has quickly found its way into the organic chemistry toolbox and found applications in many different areas, such as medicinal chemistry, polymer synthesis, organocatalysis, supramolecular chemistry, and the construction of electronic devices. This Review discusses the mechanism, scope, and applications of the RuAAC reaction, covering the literature from the last 10 years
DeterminaciΓ³n de sulfatos en cementos y yeso
Not availableEste trabajo describe un nuevo indicador que puede emplearse para la determinaciΓ³n volumΓ©trica rΓ‘pida de sulfato en cementos y yes
Noospheric pedagogy: The expansion of the humanitarian space of vocational and pedagogical education
The relevance of this subject is due to the changed socio-economic conditions in Russia, which has led to the search for educational paradigms that are appropriate for the new socio-economic development of our country. The purpose of this article is to justify the noospheric pedagogy as an independent branch of the science of teaching that reflects both socio-natural and civilizational changes in the modern world. A leading approach to the study of this problem is a systematic analysis of theories and concepts dedicated to noospherogenesis, which allows filling the teaching science and the educational practice with new constructs and meanings of noospheric content and expanding the humanitarian space by means of new areas of the science of teaching. The study has developed a model for the formation of a new teacher type in the noospheric pedagogy paradigm. Materials of this article may be useful for the development of vocational training programs, including the development of the latter for the network use in the humanitarian space of vocational and pedagogical education. Β© 2016 Sikorskaya et al
Academic mobility: problems and prospects of its development
The article analyzes the key problems of the organization of academic mobility in Russian universities. Is considered experience of the Russian higher education institutions and participation of the Russian state professional and pedagogical university in the international projects including and the academic mobilityΠΠ½Π°Π»ΠΈΠ·ΠΈΡΡΡΡΡΡ ΠΊΠ»ΡΡΠ΅Π²ΡΠ΅ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ±ΠΈΠ»ΡΠ½ΠΎΡΡΠΈ Π² ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
Π²ΡΠ·Π°Ρ
. Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΠΎΠΏΡΡ ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
Π²ΡΠ·ΠΎΠ² ΠΏΠΎ Π΅Π΅ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΈ ΡΡΠ°ΡΡΠΈΠ΅ Π ΠΎΡΡΠΈΠΉΡΠΊΠΎΠ³ΠΎ Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ° Π² ΠΌΠ΅ΠΆΠ΄ΡΠ½Π°ΡΠΎΠ΄Π½ΡΡ
ΠΏΡΠΎΠ΅ΠΊΡΠ°Ρ
, ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°ΡΡΠΈΡ
Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΡΡ ΠΌΠΎΠ±ΠΈΠ»ΡΠ½ΠΎΡΡ
Experience of organization of the system of psychological and pedagogical professional development of teachers of higher educational institutions
The relevance of the researched problem is caused by the changed social and economic conditions in Russia that led to search of the paradigms of education adequate to new social and economic development of the country. The presented article is directed to drawing attention of the pedagogical public to modern forms of organization of the system of advanced training of employees of higher education. The leading approach to the research of this problem is the analysis of experience of practical activities of Russian State Vocational Pedagogical University; this approach enables to fill educational practice with new constructs and meanings. As a result of the research, the model of implementation of the system of advanced training of employees of higher education is proposed. The material of the publication can be useful while developing and projecting of programs for professional psychological and pedagogical qualification development of teachers in the system of higher education, including its network use in the space of vocational pedagogical education. Β© 2016 Akimova et al
ΠΠ‘ΠΠΠ₯Π ΠΠΠΠΠ‘Π’Π¬ Π ΠΠΠΠΠ’ΠΠ― Π Π«ΠΠΠ Π’Π Π£ΠΠ Π Π Π«ΠΠΠ ΠΠΠ ΠΠΠΠΠΠ’ΠΠΠ¬ΠΠ«Π₯ Π£Π‘ΠΠ£Π ΠΠΠ Π€ΠΠΠ’ΠΠ Π‘ΠΠΠ’ΠΠ― Π‘Π’ΠΠ ΠΠΠ ΠΠΠ«Π¨ΠΠΠΠΠ«Π₯ Π ΠΠΠΠΠΠΠ
ΠΡΠΎΠ±Π»Π΅ΠΌΠ° ΡΠΆΠ°ΡΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π΄Π»Ρ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ², Π½Π΅ΡΠΌΠΎΡΡΡ Π½Π° ΠΏΡΠ΅Π΄ΠΏΡΠΈΠ½ΠΈΠΌΠ°Π΅ΠΌΡΠ΅ ΠΌΠ΅ΡΡ ΠΏΠΎ Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½ΠΈΡ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠΎ ΡΡΠΎΡΠΎΠ½Ρ ΠΏΡΠ°Π²ΠΈΡΠ΅Π»ΡΡΡΠ²Π° ΠΈ ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΡΡ
ΡΡΡΡΠΊΡΡΡ. ΠΡΠΎΠ±ΠΎ ΠΎΡΡΡΠΎ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° ΡΠΆΠ°ΡΠΈΡ ΠΏΡΠΎΡΠ²Π»ΡΠ΅ΡΡΡ Π² ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
Π³ΠΎΡΠΎΠ΄Π°Ρ
ΠΈ ΡΠ΅Π³ΠΈΠΎΠ½Π°Ρ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΡΠΎΠΊΠΎΠ²ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π° ΠΎΡ ΠΊΠΎΠΌΠ°Π½Π΄Π½ΠΎ-ΠΏΠ»Π°Π½ΠΎΠ²ΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ ΠΊ ΡΡΠ½ΠΎΡΠ½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π½Π΅ ΡΠΌΠΎΠ³Π»ΠΈ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠΈΡΠΎΠ²Π°ΡΡΡΡ Π² ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΠΈΠΈ Ρ Π½ΠΎΠ²ΡΠΌΠΈ ΡΡΠ»ΠΎΠ²ΠΈΡΠΌΠΈ ΠΈ Π²ΡΠ·ΠΎΠ²Π°ΠΌΠΈ. Π¦Π΅Π»Ρ Π½Π°ΡΡΠΎΡΡΠ΅ΠΉ ΡΡΠ°ΡΡΠΈ β Π΄ΠΎΠΊΠ°Π·Π°ΡΡ, ΡΡΠΎ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ½ΠΊΠ° ΡΡΡΠ΄Π° ΠΈ ΡΡΠ½ΠΊΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³ Π²ΡΡΡΡΠΏΠ°Π΅Ρ ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· ΡΠ°ΠΊΡΠΎΡΠΎΠ² ΡΠΆΠ°ΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ², ΠΈ Π²ΡΡΠ²ΠΈΡΡ Π²Π·Π°ΠΈΠΌΠΎΠ·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΡ ΠΌΠ΅ΠΆΠ΄Ρ ΡΡΠ½ΠΊΠΎΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³ ΠΈ ΡΡΠ½ΠΊΠΎΠΌ ΡΡΡΠ΄Π° ΠΊΠ°ΠΊ Π²Π°ΠΆΠ½Π΅ΠΉΡΠΈΠΌΠΈ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠ°ΠΌΠΈ ΡΠ΅ΡΡΠΈΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΡΠ°ΡΠ΅Π³ΠΈΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ². ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠ»ΠΎΡΡ ΠΏΠΎ Π΄Π°Π½Π½ΡΠΌ ΠΠΎΠ»Π³ΠΎΠ³ΡΠ°Π΄ΡΠΊΠΎΠΉ ΠΎΠ±Π»Π°ΡΡΠΈ, Π²ΡΡΡΡΠΏΠ°ΡΡΠ΅ΠΉ ΠΊΠ°ΠΊ ΠΏΡΠΈΠΌΠ΅Ρ ΡΠΈΠΏΠΈΡΠ½ΠΎΠ³ΠΎ ΡΠΆΠΈΠΌΠ°ΡΡΠ΅Π³ΠΎΡΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π³ΠΈΠΎΠ½Π°, ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Ρ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΊΠΎΡΠΎΡΠΎΠ³ΠΎ Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠΌ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ ΡΡΠΏΠ΅ΡΠ½ΠΎΡΡΠΈ ΡΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ Π²ΡΠΏΡΡΠΊΠ½ΠΈΠΊΠΎΠ² Π½Π° ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΌ ΡΡΠ½ΠΊΠ΅ ΡΡΡΠ΄Π°. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π±Π°Π·Ρ ΠΏΡΠΈΠ²Π΅Π΄Π΅Π½Ρ Π΄Π°Π½Π½ΡΠ΅ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΠΏΡΠΎΡΠ° (ΠΎΠ½Π»Π°ΠΉΠ½-Π°Π½ΠΊΠ΅ΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅; ΠΎΠΊΡΡΠ±ΡΡ 2021; N = 335) ΡΡΡΠ΄Π΅Π½ΡΠΎΠ² ΠΠΎΠ»Π³ΠΎΠ³ΡΠ°Π΄ΡΠΊΠΎΠ³ΠΎ Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ° (ΠΎΠΏΠΎΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ·Π° ΡΠ΅Π³ΠΈΠΎΠ½Π°). Π‘ΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΠ΅ ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² Ρ ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΌΠΈ Π°Π²ΡΠΎΡΠ°ΠΌΠΈ ΡΡΠ°ΡΡΠΈ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ Π·Π°ΡΠΈΠΊΡΠΈΡΠΎΠ²Π°ΡΡ Π½Π°Π»ΠΈΡΠΈΠ΅ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ½ΠΊΠ° ΡΡΡΠ΄Π° ΠΈ ΡΡΠ½ΠΊΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³. Π ΡΠ½ΠΎΠΊ ΡΡΡΠ΄Π°, ΡΠ²Π»ΡΡΡΡ ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ΠΌ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΈ, Π½Π΅ ΡΠΎΡΠΌΠΈΡΡΠ΅Ρ Π·Π°ΠΏΡΠΎΡ ΠΊ ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΠΊΠ°Π΄ΡΠΎΠ². ΠΠ΅ΠΊΠ»Π°ΡΠΈΡΡΠ΅ΠΌΡΠΉ ΡΡΠ΅Π½Π΄ Π½Π° ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΠΎΠ΅ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ Π½Π΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ°Π±ΠΎΡΠΈΡ
ΠΌΠ΅ΡΡ ΠΈ, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΠΎ, ΠΊ ΡΠΏΡΠΎΡΡ Π½Π° Π½ΠΎΠ²ΡΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΈ ΠΈ ΠΊΠΎΠΌΠΏΠ΅ΡΠ΅Π½ΡΠΈΠΈ. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ² Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ Π²ΡΡΡΡΠΏΠ°Π΅Ρ ΠΊΠΎΠ½ΡΠ΅ΡΠ²Π°ΡΠΈΠ²Π½ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠ΅ ΠΊΠ°Π΄ΡΠΎΠ² ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠΌΠΈ Π²ΡΠ·Π°ΠΌΠΈ. ΠΠΎ ΠΌΠ½Π΅Π½ΠΈΡ Π°Π²ΡΠΎΡΠΎΠ² ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, Π΄Π»Ρ ΠΏΡΠ΅ΠΎΠ΄ΠΎΠ»Π΅Π½ΠΈΡ Π²ΡΡΠ²Π»Π΅Π½Π½ΠΎΠΉ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡ ΡΡΡΡΠΊΡΡΡΠ½Π°Ρ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π³ΠΈΠΎΠ½Π° ΠΏΠΎΠ΄ Π·Π°ΠΏΡΠΎΡΡ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΊΠ»Π°Π΄Π°, ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΡΠΎΡΡΡΠ΄Π½ΠΈΡΠ΅ΡΡΠ²Π° ΠΌΠ΅ΠΆΠ΄Ρ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΠΌΠΈ ΡΡΡΠ΅ΠΆΠ΄Π΅Π½ΠΈΡΠΌΠΈ ΠΈ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡΠΌΠΈ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌ
ΠΠ‘ΠΠΠ₯Π ΠΠΠΠΠ‘Π’Π¬ Π ΠΠΠΠΠ’ΠΠ― Π Π«ΠΠΠ Π’Π Π£ΠΠ Π Π Π«ΠΠΠ ΠΠΠ ΠΠΠΠΠΠ’ΠΠΠ¬ΠΠ«Π₯ Π£Π‘ΠΠ£Π ΠΠΠ Π€ΠΠΠ’ΠΠ Π‘ΠΠΠ’ΠΠ― Π‘Π’ΠΠ ΠΠΠ ΠΠΠ«Π¨ΠΠΠΠΠ«Π₯ Π ΠΠΠΠΠΠΠ
ΠΡΠΎΠ±Π»Π΅ΠΌΠ° ΡΠΆΠ°ΡΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π΄Π»Ρ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ², Π½Π΅ΡΠΌΠΎΡΡΡ Π½Π° ΠΏΡΠ΅Π΄ΠΏΡΠΈΠ½ΠΈΠΌΠ°Π΅ΠΌΡΠ΅ ΠΌΠ΅ΡΡ ΠΏΠΎ Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½ΠΈΡ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠΎ ΡΡΠΎΡΠΎΠ½Ρ ΠΏΡΠ°Π²ΠΈΡΠ΅Π»ΡΡΡΠ²Π° ΠΈ ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΡΡ
ΡΡΡΡΠΊΡΡΡ. ΠΡΠΎΠ±ΠΎ ΠΎΡΡΡΠΎ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° ΡΠΆΠ°ΡΠΈΡ ΠΏΡΠΎΡΠ²Π»ΡΠ΅ΡΡΡ Π² ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
Π³ΠΎΡΠΎΠ΄Π°Ρ
ΠΈ ΡΠ΅Π³ΠΈΠΎΠ½Π°Ρ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΡΠΎΠΊΠΎΠ²ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π° ΠΎΡ ΠΊΠΎΠΌΠ°Π½Π΄Π½ΠΎ-ΠΏΠ»Π°Π½ΠΎΠ²ΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ ΠΊ ΡΡΠ½ΠΎΡΠ½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π½Π΅ ΡΠΌΠΎΠ³Π»ΠΈ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠΈΡΠΎΠ²Π°ΡΡΡΡ Π² ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΠΈΠΈ Ρ Π½ΠΎΠ²ΡΠΌΠΈ ΡΡΠ»ΠΎΠ²ΠΈΡΠΌΠΈ ΠΈ Π²ΡΠ·ΠΎΠ²Π°ΠΌΠΈ. Π¦Π΅Π»Ρ Π½Π°ΡΡΠΎΡΡΠ΅ΠΉ ΡΡΠ°ΡΡΠΈ β Π΄ΠΎΠΊΠ°Π·Π°ΡΡ, ΡΡΠΎ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ½ΠΊΠ° ΡΡΡΠ΄Π° ΠΈ ΡΡΠ½ΠΊΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³ Π²ΡΡΡΡΠΏΠ°Π΅Ρ ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· ΡΠ°ΠΊΡΠΎΡΠΎΠ² ΡΠΆΠ°ΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ², ΠΈ Π²ΡΡΠ²ΠΈΡΡ Π²Π·Π°ΠΈΠΌΠΎΠ·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΡ ΠΌΠ΅ΠΆΠ΄Ρ ΡΡΠ½ΠΊΠΎΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³ ΠΈ ΡΡΠ½ΠΊΠΎΠΌ ΡΡΡΠ΄Π° ΠΊΠ°ΠΊ Π²Π°ΠΆΠ½Π΅ΠΉΡΠΈΠΌΠΈ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠ°ΠΌΠΈ ΡΠ΅ΡΡΠΈΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΡΠ°ΡΠ΅Π³ΠΈΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅Π³ΠΈΠΎΠ½ΠΎΠ². ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠ»ΠΎΡΡ ΠΏΠΎ Π΄Π°Π½Π½ΡΠΌ ΠΠΎΠ»Π³ΠΎΠ³ΡΠ°Π΄ΡΠΊΠΎΠΉ ΠΎΠ±Π»Π°ΡΡΠΈ, Π²ΡΡΡΡΠΏΠ°ΡΡΠ΅ΠΉ ΠΊΠ°ΠΊ ΠΏΡΠΈΠΌΠ΅Ρ ΡΠΈΠΏΠΈΡΠ½ΠΎΠ³ΠΎ ΡΠΆΠΈΠΌΠ°ΡΡΠ΅Π³ΠΎΡΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π³ΠΈΠΎΠ½Π°, ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Ρ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΊΠΎΡΠΎΡΠΎΠ³ΠΎ Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠΌ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ ΡΡΠΏΠ΅ΡΠ½ΠΎΡΡΠΈ ΡΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ Π²ΡΠΏΡΡΠΊΠ½ΠΈΠΊΠΎΠ² Π½Π° ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΌ ΡΡΠ½ΠΊΠ΅ ΡΡΡΠ΄Π°. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π±Π°Π·Ρ ΠΏΡΠΈΠ²Π΅Π΄Π΅Π½Ρ Π΄Π°Π½Π½ΡΠ΅ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΠΏΡΠΎΡΠ° (ΠΎΠ½Π»Π°ΠΉΠ½-Π°Π½ΠΊΠ΅ΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅; ΠΎΠΊΡΡΠ±ΡΡ 2021; N = 335) ΡΡΡΠ΄Π΅Π½ΡΠΎΠ² ΠΠΎΠ»Π³ΠΎΠ³ΡΠ°Π΄ΡΠΊΠΎΠ³ΠΎ Π³ΠΎΡΡΠ΄Π°ΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ° (ΠΎΠΏΠΎΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ·Π° ΡΠ΅Π³ΠΈΠΎΠ½Π°). Π‘ΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΠ΅ ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² Ρ ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΌΠΈ Π°Π²ΡΠΎΡΠ°ΠΌΠΈ ΡΡΠ°ΡΡΠΈ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ Π·Π°ΡΠΈΠΊΡΠΈΡΠΎΠ²Π°ΡΡ Π½Π°Π»ΠΈΡΠΈΠ΅ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΡΠ½ΠΊΠ° ΡΡΡΠ΄Π° ΠΈ ΡΡΠ½ΠΊΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΡΠ³. Π ΡΠ½ΠΎΠΊ ΡΡΡΠ΄Π°, ΡΠ²Π»ΡΡΡΡ ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ΠΌ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΈ, Π½Π΅ ΡΠΎΡΠΌΠΈΡΡΠ΅Ρ Π·Π°ΠΏΡΠΎΡ ΠΊ ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ ΠΊΠ°Π΄ΡΠΎΠ². ΠΠ΅ΠΊΠ»Π°ΡΠΈΡΡΠ΅ΠΌΡΠΉ ΡΡΠ΅Π½Π΄ Π½Π° ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΠΎΠ΅ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ Π½Π΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ°Π±ΠΎΡΠΈΡ
ΠΌΠ΅ΡΡ ΠΈ, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΠΎ, ΠΊ ΡΠΏΡΠΎΡΡ Π½Π° Π½ΠΎΠ²ΡΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΈ ΠΈ ΠΊΠΎΠΌΠΏΠ΅ΡΠ΅Π½ΡΠΈΠΈ. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ² Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ Π²ΡΡΡΡΠΏΠ°Π΅Ρ ΠΊΠΎΠ½ΡΠ΅ΡΠ²Π°ΡΠΈΠ²Π½ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠ΅ ΠΊΠ°Π΄ΡΠΎΠ² ΡΠ΅Π³ΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠΌΠΈ Π²ΡΠ·Π°ΠΌΠΈ. ΠΠΎ ΠΌΠ½Π΅Π½ΠΈΡ Π°Π²ΡΠΎΡΠΎΠ² ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, Π΄Π»Ρ ΠΏΡΠ΅ΠΎΠ΄ΠΎΠ»Π΅Π½ΠΈΡ Π²ΡΡΠ²Π»Π΅Π½Π½ΠΎΠΉ Π°ΡΠΈΠ½Ρ
ΡΠΎΠ½Π½ΠΎΡΡΠΈ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡ ΡΡΡΡΠΊΡΡΡΠ½Π°Ρ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΈΡ ΡΡΠ°ΡΠΎΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π³ΠΈΠΎΠ½Π° ΠΏΠΎΠ΄ Π·Π°ΠΏΡΠΎΡΡ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΊΠ»Π°Π΄Π°, ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΡΠΎΡΡΡΠ΄Π½ΠΈΡΠ΅ΡΡΠ²Π° ΠΌΠ΅ΠΆΠ΄Ρ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΠΌΠΈ ΡΡΡΠ΅ΠΆΠ΄Π΅Π½ΠΈΡΠΌΠΈ ΠΈ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡΠΌΠΈ ΡΠ΅Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΊΡΠΎΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌ
Analytical solution of second Stokes problem of behaviour of rarefied gas with Cercignani boundary accomodation conditions
Analytical solution of second Stokes problem of behaviour of rarefied gas
with Cercignani boundary accomodation conditions The second Stokes problem
about behaviour of rarefied gas filling half-space is analytically solved. A
plane, limiting half-space, makes harmonious fluctuations in the plane. The
kinetic BGK-equation (Bhatnagar, Gross, Krook) is used. The boundary
accomodation conditions of Cercignani of reflexion gaseous molecules from a
wall are considered. Distribution function of the gaseous molecules is
constructed. The velocity of gas in half-space is found, also its value direct
at a wall is found. The force resistance operating from gas on border is found.
Besides, the capacity of dissipation of the energy falling to unit of area of
the fluctuating plate limiting gas is obtained.Comment: 26 pages, 5 figure
- β¦