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Asymptotic freedom at zero temperature in free-standing crystalline membranes
Physical Review B: Condensed Matter and Materials Physics. 2014. Vol. 89. P. 125433-1-125433-7.
Kats E. I., Lebedev V.
We investigate the effects of quantum (zero-temperature) long-wavelength fluctuations of free-standing crystalline membranes, which are two-dimensional objects embedded into three-dimensional space. The fluctuations produce logarithmic renormalization of elasticity and bending moduli of the membranes. We find one-loop RG equations to demonstrate that the system is in the “asymptotic freedom” regime; that is, the quantum
fluctuations destabilize the flat membrane phase.
Keywords: fluctuations
Arutyunov, K.Y., Astafiev O. V., Ioffe L. B. et al., Nature 2012 Vol. 484 No. 7394 P. 355-358
A hundred years after the discovery of superconductivity, one
fundamental prediction of the theory, coherent quantum phase
slip (CQPS), has not been observed. CQPS is a phenomenon exactly
dual1 to the Josephson effect; whereas the latter is a coherent
transfer of charges between superconducting leads2,3, the former
is a coherent transfer of vortices or fluxes across a superconducting
wire. In contrast ...
Added: March 24, 2014
М. : Издательство математико-механического факультета МГУ, 2009
В настоящий сборник вошли аннотации докладов участников XVI международной конференции «Ломоносов» по секции «Математика и механика». ...
Added: February 4, 2013
Leuven : KU Leuven Methusalem Group, 2015
Added: March 22, 2016
Smirnov A. D., Экономический журнал Высшей школы экономики 2012 Т. 16 № 4 С. 444-463
Статья посвящена изучению проблем осцилляций в экономике, а именно изучению случайно изменяющихся спроса и предложения коротких кредитов. Для изучения циклического характера динамики спредов предлагается использовать модель возмущенного осциллятора первого порядка. ...
Added: January 25, 2013
Kolokolov I., Lebedev V., Журнал экспериментальной и теоретической физики 2024 Т. 165 № 1 С. 128-140
We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence of the inverse energy cascade in a finite box at large Reynolds numbers. We develop the perturbation ...
Added: January 29, 2024
E. S. Pikina, Muratov A. R., Kats E. I. et al., Annals of Physics, Elsevier 2022 Vol. 447 No. 2 Article 168916
The aim of this work is to revisit the phenomenological theory of the interaction between membrane inclusions, mediated by the membrane fluctuations. We consider the case where the inclusions are separated by distances larger than their characteristic size. Within our macroscopic approach a physical nature of such inclusions is not essential, however
we have always in ...
Added: October 28, 2022
I.V.Kolokolov, V.V.Lebedev, Journal of Fluid Mechanics 2016 Vol. 809 No. paper R2 P. 1-11
We analyze velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional ($2d$) turbulence in a finite box. As we demonstrated in \citep{16KL}, the universal velocity profile, established in \citep{14LBFKL}, corresponds to the passive regime of the flow fluctuations. The property enables one to calculate correlation functions of the ...
Added: October 23, 2016
Arutyunov K., Sajavaara T., Lehtinen J. S. et al., Physical Review B: Condensed Matter and Materials Physics 2012 Vol. 85 No. 9 P. 0945081-0945087
Electron transport properties of titanium nanowires were experimentally studied. Below the effective diameter
50nm all samples demonstrated a pronounced broadening of the R(T ) dependencies, which cannot be accounted
for by thermal fluctuations. Extensive microscopic and elemental analyses indicate the absence of structural or/and
geometrical imperfections capable of broadening the R(T ) transition to such an extent. We ...
Added: March 24, 2014
Parfenyev V., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 No. 2 Article 025102
It is well known that an inverse turbulent cascade in a finite ($2 \pi \times 2 \pi$) two-dimensional periodic domain leads to the emergence of a system-sized coherent vortex dipole. We report a numerical hyperviscous study of the spatial vorticity profile inside one of the vortices. The exciting force was shortly correlated in time, random ...
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Chertkov M., Backhaus S., V.V.Lebedev, Applied Energy 2015 Vol. 160 P. 541-551
The revolution of hydraulic fracturing has dramatically increased the supply and lowered the cost of natural gas in the United States driving an expansion of natural gas-fired generation capacity in many electrical grids. Unrelated to the natural gas expansion, lower capital costs and renewable portfolio standards are driving an expansion of intermittent renewable generation capacity ...
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Arutyunov K., Lehtinen J. S., Superconductor Science and Technology 2013 Vol. 26 No. 3 P. 039503-039503
On the second page, after equation (1), the statement
‘. . . where RN is the normal state resistance, RQ D h=2e D
6:45 k is the superconducting quantum resistance, . . . ’
contains a misprint. The correct expression is RQ D h=.2e/2 D
6:45 k. ...
Added: March 24, 2014
СПб. : Издательство Санкт-Петербургского университета, 2008
В сборнике представлены результаты исследований по механике сплошной среды, в основном задач колебаний и устойчивости упругих конструкций. Характерной чертой исследований является использование разнообразных компьютерных методов: методов вычислительной механики сплошной среды, компьютерной алгебры, визуализации и др. Анализ опирается на сопоставление данных, полученных в различных подходах, причем наиболее часто сопоставляются результаты, полученные асимптотическими методами и по методу ...
Added: February 4, 2013
Konstantin Yu. Arutyunov, Hongisto T. T., Lehtinen J. S. et al., Scientific Reports 2012 Vol. 2 No. 293 P. 1-7
The smaller the system, typically - the higher is the impact of fluctuations. In narrow superconducting wires
sufficiently close to the critical temperature Tc thermal fluctuations are responsible for the experimentally
observable finite resistance. Quite recently it became possible to fabricate sub-10 nm superconducting
structures, where the finite resistivity was reported within the whole range of experimentally obtainable
temperatures. ...
Added: March 24, 2014
Bystryi R., Journal of Physics: Conference Series 2015 Vol. 653 No. 01-2154 P. 1-5
Pressure of plasma is calculated by using classical molecular dynamics method. The formula based on virial theorem was used. Spectrum pressure's fluctuations of singly ionized non-ideal plasma are studied. 1/f-like spectrum behavior is observed. In other words, flicker noise is observed in fluctuations of pressure equilibrium non-ideal plasma. Relations between the obtained result and pressure ...
Added: December 15, 2015