In book
М.: ООО «ИСПО-принт», 2022.
Burov N.A., Gaydukov R.K., Russian Journal of Mathematical Physics 2026 Vol. 33 No. 2 P. 263–275
The spreading of a droplet of incompressible fluid over a substrate under the action of capillary forces and gravity is studied within a phase-field framework. An asymptotic analysis shows that the solution of the phase-field system (regularized problem) converges to the solution of the corresponding limiting problem when a regularization parameter tends to zero. The ...
Added: April 11, 2026
Starikov S., Gordeev I., Lysogorskiy Y. et al., Computational Materials Science 2020 Vol. 184 Article 109891
Metal-semiconductor nanostructures are key objects for multifunctional electronics and optical design. We report
a new interatomic potential for atomistic simulation of a ternary Si-Au-Al system. The development procedure
was based on the force-matching method that allowed us to create the potential without use of experimental
data at the fitting. Extensive validation including elastic, thermophysical and defect properties
demonstrates a ...
Added: January 28, 2022
Kolotova L., Gordeev I., Crystals 2020 Vol. 10 P. 515
Using molecular dynamics simulations, we studied the structural properties of orthorhombic, monoclinic, and body-centered tetragonal (bct) phases of U–Mo alloys. A sequence of shear transformations between metastable phases takes place upon doping of uranium with molybdenum from pure alpha-U: orthorhombic alpha' -> monoclinic alpha'' -> bct gamma^0 -> body-centered cubic (bcc) with doubled lattice constant gamma^s ...
Added: January 28, 2022
Starikov S. V., Kolotova L., Kuksin A. Y. et al., Journal of Nuclear Materials 2018 Vol. 499 P. 451–463
We studied structure and thermodynamic properties of cubic and tetragonal phases of pure uranium and
U-Mo alloys using atomistic simulations: molecular dynamics and density functional theory. The main
attention was paid to the metastable g0-phase that is formed in U-Mo alloys at low temperature.
Structure of g0-phase is similar to body-centered tetragonal (bct) lattice with displacement of a ...
Added: January 28, 2022
Boldyrev K., Молчанова А. Д., Оптика и спектроскопия 2019 Т. 127 № 1 С. 39–41
The linear magnetic dichroism in the crystallographically isotropic ab plane of a tetragonal CuB2O4 single crystal has been investigated by high-resolution Fourier spectroscopy at temperatures of 1.4–22 K. Magnetic phase transitions are found at T < 2.0 K and their nature is discussed. ...
Added: November 22, 2019
Bondarenko D. M., Baskin K., NETSOL: New Trends in Social and Liberal Sciences 2019 Vol. 4 No. 2 P. 1–23
In the book where he coined the term “Axial Age”, Karl Jaspers noted that human history included both “tranquil ages” and “ages of change”. This paper begins with the observation that this oscillation between stable and transformational periods encapsulates the pattern in complexity theory by which systems oscillate between relatively long “stable states” and shorter ...
Added: November 17, 2019
Norman G., Saitov I., Doklady Physics 2019 Vol. 64 No. 4 P. 145–149
—The structural transformation of solid hydrogen under compression along the isotherm of 100 K in
the region of transition into the conductive state was studied within the density functional theory. The pressure, the pair correlation function of protons, the density of electron states, and the electrical conductivity were calculated within a range of hydrogen densities from ...
Added: October 30, 2019
Danilov V., Rudnev V., Gaydukov R. et al., М.: Научно-техническое издательство «Горячая линия – Телеком», 2014.
A new mathematical model of heat transfer in silicon field emission pointed cathode of small dimensions is constructed which permits taking its partial melting into account. This mathematical model is based on the phase field system, i.e., on a contemporary generalization of Stefan-type problems. The approach used by the authors is not purely mathematical but ...
Added: September 23, 2014
R.K. Gaydukov, V.Yu. Rudnev, , in: Фундаментальные проблемы радиоэлектронного приборостроения / Материалы Международной научно-технической конференции «INTERMATIC–2013», 2–6 декабря 2013 г., МоскваЧ. 4: Информационные технологии и телекоммуникации.: М.: Энергоатомиздат, 2013. P. 204–209.
Added: March 4, 2014
Данилов В.Г., Руднев В.Ю., Гайдуков Р.К. et al., Наноструктуры. Математическая физика и моделирование 2013 Т. 9 № 1 С. 39–84
We introduce a new method for modeling of heat transfer in the thermo-field emission nanocathode. The base of our model is the modified Stefan problem with the special conditions on the free boundary and on the tip of the cathode (Nottingham effect). We use a modification of the phase field system for the numerical simulation. ...
Added: November 19, 2013
Rudnev V., Kretov V. I., Дюжев Н. А. et al., Известия высших учебных заведений. Электроника 2011 Т. 4 № 90 С. 23–29
Описано экспериментальное иследование факторов, влияющих на тепловую деградацию одиночного кремниевого автоэмисионного катода острийного типа в процессе отбора эмиссионного тока. Приводятся результаты численного моделирования температурной динамики автоэмиссионного катода в условиях наличия свободной границы раздела жидкой и твердой фаз с учетом поверхностного натяжения. ...
Added: March 5, 2013
Danilov V., Rudnev V., Журнал вычислительной математики и математической физики 2012 Т. 52 № 11 С. 2080–2092
Исследуется эффект локализованного в пространстве и времени возмущения температуры, которое возникает в точке контакта свободных границ в задаче Стефана–Гиббса–Томсона в рамках модели фазового поля. ...
Added: December 24, 2012
Danilov V., Rudnev V., Russian Journal of Mathematical Physics 2012 Vol. 19 No. 2 P. 146–158
In this paper we demonstrate a new (probably unknown) effect of soliton type temperature perturbation which occurs in a free boundary confluence in the frames of phase field system model. ...
Added: December 24, 2012