The Moscow State Pedagogical University, previously known as the Moscow University for Women, the Second Moscow State University, the Moscow State Pedagogical Institute and the Moscow State V. I. Lenin Pedagogical Institute, and with origins dating back to 1872, is a major educational and scientific institution in Moscow, Russia, with eighteen faculties and seven branches in other Russian cities. Wikipedia.
Pipin V.V.,Russian Academy of Sciences |
Sokoloff D.D.,Moscow State Pedagogical University |
Usoskin I.G.,University of Oulu
Astronomy and Astrophysics | Year: 2012
Context. Solar cycles vary in their amplitude and shape. There are several empirical relations between various parameters that link the cycle's shape and amplitude, foremost these of the Waldmeier relations. Aims. The solar cycle is believed to be a result of the solar dynamo action, therefore these relations require an explanation in the framework of this theory, which we aim to present here. Methods. We related the cycle-to-cycle variability of solar activity to fluctuations of solar dynamo drivers and primarily to fluctuations in the parameter responsible for the recovery of the poloidal magnetic field from the toroidal one. To be specific, we developed a model in the framework of the mean-field dynamo based on the differential rotation and α-effect. Results. We demonstrate that the mean-field dynamo model, which is based on a realistic rotation profile and on nonlinearity that is associated with the magnetic helicity balance, reproduces both qualitatively and quantitatively the Waldmeier relations observed in sunspot data since 1750. The model also reproduces more or less successfully other relations between the parameters under discussion, in particular, the link between odd and even cycles (Gnevyshev-Ohl rule). Conclusions. We conclude that the contemporary solar dynamo theory provides a way to explain the cycle-to-cycle variability of solar activity as recorded in sunspots.We discuss the importance of the model for stellar activity cycles which, as known from the data of the Mount Wilson HK project, which measures the Ca H and K line index for other stars, demonstrate the cycle-to-cycle variability similar to solar cycles. © 2012 ESO.
Osad'ko I.S.,Russian Academy of Sciences |
Fedyanin V.V.,Moscow State Pedagogical University
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2011
A single complex molecule with conformational changes (conformations 0 and 2) is considered. When such a molecule is irradiated by cw-laser light it can randomly change the intensity or polarization of its fluorescence due to jumps from one conformation to another. In fact, the molecule manifests itself either like the 0-type or the 2-type emitter. An expression for the matrix s αβ(t) called the start-stop correlator (waiting time distribution) in which α=0,2 and β=0,2 is derived. An expression for the matrix pαβ(t) called the full correlator is derived as well. It determines the density of the probability of finding an event of α type and an event of β type separated by time interval t. A relation between matrices sαβ(t) and p αβ(t) is found. A mathematical expression for the distribution wN(T) of events measured in time interval T is derived. It is expressed solely via the matrix sαβ(t). Numerical calculations of the event distribution function for various rates of intra- and interconformational jumps are carried out with the help of the formula for wN(T) and by the Monte Carlo method. Both methods of the calculation yield identical distributions. Fluctuating fluorescence intensity I(t) for a bin time of 5 ms is calculated for slow and fast interconformational jumps. A relation is found between the autocorrelation function g(2)(t) of fluorescence measurable in experiments and the matrix p αβ(t) calculated theoretically. © 2011 American Physical Society.
Grachev M.K.,Moscow State Pedagogical University
Russian Chemical Reviews | Year: 2013
Published data on the preparation of phosphorus-containing cyclodextrins are summarized. It is demonstrated that some significant features of their synthesis and chemical behaviour are caused by specific supramolecular interactions involving the inner chiral cavity of cyclodextrins capable of incorporating various guests, which often leads to alteration of customary routes of chemical transformations. The possibilities of practical applications of phosphorus-containing cyclodextrins are briefly analyzed. The bibliography includes 89 references. © 2013 Russian Academy of Sciences and Turpion Ltd.
Baoulina I.N.,Moscow State Pedagogical University
Finite Fields and their Applications | Year: 2016
Using properties of Gauss and Jacobi sums, we derive explicit formulas for the number of solutions to a diagonal equation of the form x1 2m+⋯+xn 2m=0 over a finite field of characteristic p≡±3(mod8). All of the evaluations are effected in terms of parameters occurring in quadratic partitions of some powers of p. © 2016 Elsevier Inc. All rights reserved.
Naumov A.V.,Moscow State Pedagogical University
Physics-Uspekhi | Year: 2013
Sixty years ago, in 1952, Prof. E V Shpol'skii and his colleagues were the first to see quasilinear spectra from complex organic compounds in specially selected solvents at low temperatures. Twenty years later, in 1972, a team headed by Prof. RI Personov discovered laser fluorescence line narrowing in the solid solutions of organic dyes. These two discoveries served as the basis for the field of laser selective spectroscopy of impurity centers in solids. The work in this field culminated in the techniques of spectroscopy and luminescence imaging (microscopy) of single molecules in condensed matter. Today, optical spectroscopy of impurity centers in solid solutions has become one of the most popular tools for solving a wide variety of interdisciplinary problems in physics, physical chemistry, optics and spectroscopy, biophysics, quantum optics, and nano-technology. In this article, the development of this field is briefly reviewed, potentials of the developed methods are discussed, and some research results are highlighted. © 2013 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences.