DSA Faculty
API
← к списку преподавателей

Колоколов Игорь Валентинович

Базовая кафедра теоретической физики Института теоретической физики им. Л.Д. Ландау РАН

Профиль на hse.ru ↗ тел.: +7 (496) 524-38-33 | +7 (903) 799-15-90
Публикаций
0
Языков
2
Наград
3
Конференций
0
Профиль Публикации (53) Курсы (5)

Профессиональные интересы

неравновесная статистическая физикастатистическая гидродинамикаквантовые магнетикинелинейная оптикаКвантовые флуктуации в неупорядоченных системах

Должности

  • Заведующий кафедрой — Базовая кафедра теоретической физики Института теоретической физики им. Л.Д. Ландау РАН
  • Профессор — Базовая кафедра теоретической физики Института теоретической физики им. Л.Д. Ландау РАН

Био

  • · Начал работать в НИУ ВШЭ в 2016 году.
  • · Научно-педагогический стаж: 27 лет.

Образование

  • 2025 · Член-корреспондент РАН
  • 2010 · Ученое звание: Доцент
  • 1998 · Доктор физико-математических наук
  • 1983 · Специалитет: Новосибирский государственный университет им. Ленинского комсомола, специальность «Физика», квалификация «Физик»

Опыт работы

  • · 1983: В году закончил Новосибирский государственный университет, получил диплом по специальности «физика». В
  • · 1990: году защитил кандидатскую диссертацию по специальности «теоретическая физика», которая была посвящена развитию функциональных методов в статистической физике квантовых магнетиков и использованию магнитных сред для поиска псевдоскaлярных дальнодействий (частиц типа аксионов и арионов). Работал в ИЯФ им. Будкера старшим, и затем, ведущим научным сотрудником. В
  • · 1998: году защитил докторскую диссертацию по специальности "теоретическая физика" на основе решенных с его участием задач статистической гидродинамики. С
  • · 2003: года работает в Институте Теоретической Физики им. Л.Д.Ландау ведущим научным сотрудником, тогда же был избран на должность заместителя директора ИТФ им. Л.Д.Ландау
  • · Курсы:
  • · Математические методы физики, Физическая Кинетика, Физика Сплошных Сред, Избранные Главы Статистической Физики, Магнетизм -
  • · ФФ НГУ, ФОПФ МФТИ,
  • · Физическая Кинетика - Национальный Исследовательский Университет Высшая Школа Экономики

Награды и поощрения

  • · Благодарность декана факультета физики НИУ ВШЭ (январь 2023)
  • · Надбавка за публикацию в журнале из Списка А (и приравненном к нему научном издании) (2025–2026, 2024–2025, 2023–2024)
  • · Надбавка за публикацию в международном рецензируемом научном издании (2022–2023, 2021–2022, 2019–2021, 2017–2019)

Идентификаторы исследователя

Публикации (53)

Structure of coherent vortices generated by the inverse cascade of two-dimensional turbulence in a finite box

2016 · ARTICLE · en

We discuss the structure and geometrical characteristics of coherent vortices appearing as a result of the inverse cascade in two-dimensional turbulence in a finite box.We demonstrate that the universal velocity profile, established by J. Laurie et al. [Phys. Rev. Lett. 113, 254503 (2014)], corresponds to the passive regime of flow fluctuations.We find the vortex core radius and the vortex size, and we argue that the amount of vortices generated in the box depends on the system parameters

DOI ↗ PDF ↗

Velocity statistics inside coherent vortices generated by the inverse cascade of $2d$ turbulence

2016 · ARTICLE · en

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 velocity fluctuations in the universal region. We present the results of the calculations that demonstrate a non-trivial scaling of the structure function. In addition the calculations reveal strong anisotropy of the structure function.

DOI ↗ PDF ↗

Wave Kinetics of Random Fibre Lasers

2015 · ARTICLE · en

Traditional wave kinetics describes the slow evolution of systems with many degrees of freedom to equilibrium via numerous weak non-linear interactions and fails for very important class of dissipative (active) optical systems with cyclic gain and losses, such as lasers with non-linear intracavity dynamics. Here we introduce a conceptually new class of cyclic wave systems, characterized by non-uniform double-scale dynamics with strong periodic changes of the energy spectrum and slow evolution from cycle to cycle to a statistically steady state. Taking a practically important example—random fibre laser—we show that a model describing such a system is close to integrable non-linear Schrödinger equation and needs a new formalism of wave kinetics, developed here. We derive a non-linear kinetic theory of the laser spectrum, generalizing the seminal linear model of Schawlow and Townes. Experimental results agree with our theory. The work has implications for describing kinetics of cyclical systems beyond photonics.

DOI ↗ PDF ↗

Profile of Coherent Vortices in Two-Dimensional Turbulence

2015 · ARTICLE · en

The inverse cascade of two-dimensional turbulence in a restricted domain leads to creating a coherent flow containing a number of system-size vortices. We examine the case of forcing turbulence with zero bottom friction where the final statistically steady state is determined by viscosity. We analytically establish structure of the coherent vortices in the state.

DOI ↗ PDF ↗

Universal Profile of the Vortex Condensate in Two-Dimensional Turbulence

2014 · ARTICLE · en

An inverse turbulent cascade in a restricted two-dimensional periodic domain creates a condensate-a pair of coherent system-size vortices. We perform extensive numerical simulations of this system and carry out theoretical analysis based on momentum and energy exchanges between the turbulence and the vortices. We show that the vortices have a universal internal structure independent of the type of small-scale dissipation, small-scale forcing, and boundary conditions. The theory predicts not only the vortex inner region profile, but also the amplitude, which both perfectly agree with the numerical data.

DOI ↗ PDF ↗

Theory of Random Fibre Laser

2014 · ARTICLE · en

We develop the theory explaining the role of nonlinearity in generation radiation in a fiber laser that is pumped by external light. The pumping energy is converted into the generating signal due to the Raman scattering supplying an effective gain for the signal. The signal is generated with frequencies near the one corresponding to the maximum value of the gain. Generation conditions and spectral properties of the generated signal are examined. We focus mainly on the case of a random laser where reflection of the signal occurs on impurities of the fiber. From the theoretical standpoint, kinetics of a wave system close to an integrable one are investigated. We demonstrate that in this case, the perturbation expansion in the kinetic equation has to use the closeness to the integrable case.

DOI ↗ PDF ↗

Tail-constraining stochastic linear-quadratic control: large deviation and statistical physics approach

2012 · ARTICLE · en

Abstract. The standard de nition of the stochastic risk-sensitive linear{quad- ratic (RS-LQ) control depends on the risk parameter, which is normally left to be set exogenously. We reconsider the classical approach and suggest two alternatives, resolving the spurious freedom naturally. One approach consists in seeking for the minimum of the tail of the probability distribution function (PDF) of the cost functional at some large xed value. Another option suggests minimizing the expectation value of the cost functional under a constraint on the value of the PDF tail. Under the assumption of resulting control stability, both problems are reduced to static optimizations over a stationary control matrix. The solutions are illustrated using the examples of scalar and 1D chain (string) systems. The large deviation self-similar asymptotic of the cost functional PDF is analyzed.

DOI ↗ PDF ↗

Magnetic field correlations in a random flow with strong steady shear

2011 · ARTICLE · en

We analyze magnetic kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and diffusion regimes are described. The growth rates of the magnetic field moments are related to the statistical characteristics of the flow describing divergence of the Lagrangian trajectories. The magnetic field correlation functions are examined, we establish their growth rates and scaling behavior. General assertions are illustrated by explicit solution of the model where the velocity field is short-correlated in time.

DOI ↗ PDF ↗

Kinematic magnetic dynamo in a random flow with strong average shear

2010 · ARTICLE · en

We analyze the kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and diffusion regimes are described. The growth rates of the magnetic field moments are related to the statistical characteristics of the flow describing the divergence of Lagrangian trajectories. A degree of anisotropy of the magnetic field is estimated. We demonstrate that Zeldovich’s ‘antidynamo theorem’ is wrong.

DOI ↗ PDF ↗

Universal velocity profile for coherent vortices in two-dimensional turbulence

2010 · ARTICLE · en

Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the  =1/4 scaling in the Vr− law of the velocity spatial profile within a vortex, where r is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the smallscale injection of turbulent fluctuations and details of the shape of the box.

DOI ↗ PDF ↗

Курсы (5)