Towards ultrametric theory of turbulence

Relation of ultrametric analysis, wavelet theory and cascade models of turbulence is discussed. We construct the explicit solutions for the nonlinear ultrametric integral equation with quadratic nonlinearity. These solutions are built by means of the recurrent hierarchical procedure which is analogous to the procedure used for the cascade models of turbulence.Comment: 11 page

Fast Switching Ferroelectric Materials for Accelerator Applications

Fast switching (< 10 nsec) measurement results on the recently developed BST(M) (barium strontium titanium oxide composition with magnesium-based additions) ferroelectric materials are presented. These materials can be used as the basis for new advanced technology components suitable for high-gradient accelerators. A ferroelectric ceramic has an electric field-dependent dielectric permittivity that can be altered by applying a bias voltage. Ferroelectric materials offer significant benefits for linear collider applications, in particular, for switching and control elements where a very short response time of <10 nsec is required. The measurement results presented here show that the new BST(M) ceramic exhibits a high tunability factor: a bias field of 40-50 kV/cm reduces the permittivity by a factor of 1.3-1.5. The recently developed technology of gold biasing contact deposition on large diameter (110 cm) thin wall ferroelectric rings allowed ~few nsec switching times in witness sample experiments. The ferroelectric rings can be used at high pulsed power (tens of megawatts) for X-band components as well as at high average power in the range of a few kilowatts for the L-band phase-shifter, under development for optimization of the ILC rf coupling. Accelerator applications include fast active X-band and Ka-band high-power ferroelectric switches, high-power X-band and L-band phase shifters, and tunable dielectric-loaded accelerating structures.Comment: 7 pages, 6 figures, submitted to Proceedings of 2006 Advanced Accelerator Concepts Worksho

Coherent population trapping in the stochastic limit

A 2-level atom with degenerate ground state interacting with a quantum field is investigated. We show, that the field drives the state of the atom to a stationary state, which is non-unique, but depends on the initial state of the system through some conserved quantities. This non-uniqueness follows from the degeneracy of the ground state of the atom, and when the ground subspace is two-dimensional, the family of stationary states will depend on a one-dimensional parameter. Only one of the stationary states in this family is a pure state, and this state coincides with the known non-coupled population trapped state (zero population in the excited level. Another one stationary state corresponds to an equal weight mixture of the excited level and of the coupled state.Comment: 13 pages, LaTe

Особенности идеологического механизма государства современной России

Purpose of the study is to determine the range of ideological apparatuses used by the Russian state, the applied set of methods of ideological influence, as well as the features and causes of the ideological orientation of the ruling elite. The work analyses such ideological apparatus of the state as the mass media (newspapers, magazines, TV and radio channels); educational institutions (schools, state educational institutions of higher and secondary vocational education); political parties, public associations, trade unions; film industry (producing and distributing television and film), as well as people of art (filmmakers, writers, artists); church; press and PR services. The features of their relationship with the ruling establishment and the type and content of the used ideological influence are determined. For example, the majority of the media belongs to the media holdings, which in turn are controlled by the economic and political establishment (the state). In addition, there are examples of ideological influence in textbooks, films, public actions. It also briefly describes the "trolling" organizations ("troll factories"), whose activities are aimed at the consciousness of the Internet users. The ruling establishment actively and effectively uses all the possibilities of the ideological apparatus in their class interests. The reason for the lack of a clear and non-vague ideology (like the Soviet one) is, first, the social heterogeneity of the ruling establishment, which also gives rise to different ideological positions, and, second, the opposite situation would only aggravate the legitimacy crisis of the existing political regime. None of the worldview models of the modern ideological spectrum is able to ensure the legitimacy of the ruling establishment, on the one hand, and to eliminate the discrepancies between the declared and social practices, on the other hand.El objetivo del estudio es determinar la gama de aparatos ideológicos utilizados por el estado ruso, el conjunto de métodos de influencia ideológica aplicados, así como las características y causas de la orientación ideológica de la élite gobernante. El trabajo analiza aparatos ideológicos del estado como los medios de comunicación (periódicos, revistas, canales de televisión y radio); instituciones educativas (escuelas, instituciones educativas estatales de educación profesional superior y secundaria); partidos políticos, asociaciones públicas, sindicatos; industria cinematográfica (producción y distribución de televisión y cine), así como personas de arte (cineastas, escritores, artistas); Iglesia; Servicios de prensa y relaciones públicas. Se determinan las características de su relación con el establecimiento gobernante y el tipo y contenido de la influencia ideológica utilizada. Por ejemplo, la mayoría de los medios pertenecen a los medios de comunicación, que a su vez están controlados por el establecimiento económico y político (el estado). Además, hay ejemplos de influencia ideológica en libros de texto, películas, acciones públicas. También describe brevemente las organizaciones de "trolling" ("fábricas de trolls"), cuyas actividades están dirigidas a la conciencia de los usuarios de Internet. El establecimiento gobernante utiliza activa y efectivamente todas las posibilidades del aparato ideológico en sus intereses de clase. La razón de la falta de una ideología clara y no vaga (como la soviética) es, en primer lugar, la heterogeneidad social del establecimiento gobernante, que también da lugar a diferentes posiciones ideológicas, y, en segundo lugar, la situación opuesta solo agravaría La crisis de legitimidad del régimen político existente. Ninguno de los modelos de visión del mundo del espectro ideológico moderno es capaz de garantizar la legitimidad del establecimiento gobernante, por un lado, y eliminar las discrepancias entre las prácticas declaradas y sociales, por otro lado.Цель статьи ‒ изучить особенности идеологического механизма современного российского государства. Проанализированы такие идеологические аппараты государства как средства массовой информации (газеты, журналы, теле- и радио-каналы); учебные заведения (школы, государственные образовательные учреждения высшего и среднего профессионального образования); политические партии, общественные объединения, профессиональные союзы; организации киноиндустрии (производящие и распространяющие теле- и кинофильмы), а также деятели искусств (кинорежиссеры, писатели, художники); церковь; пресс- и PR-службы, информационные отделы государственных органов, использующие Интернет для достижения целей пропаганды, а также специально созданные «троллинговые» организации. Определены особенности их взаимоотношений с правящей элитой, тип и содержание используемого идеологического воздействия. К примеру, большинство средств массовой информации принадлежит медахолдингам, которые в свою очередь подконтрольны экономической и политической элите (государству). Или же между Русской православной церковью и правящей элитой, по-всей видимости, заключено некое соглашение: в обмен на налоговые преференции и субсидии церковь идейно обслуживает интересы элиты. Помимо указанного приведены примеры идеологического воздействия в учебниках, кинофильмах и при помощи публичных действий. Также кратко описана деятельность «троллинговые» организации («фабрики троллей»), чья деятельность направлена на сознание интренет-пользователей. На основе проведенного исследования сделаны несколько выводов: властвующая элита активно и эффективно использует все возможности идеологического аппарата в своих классовых интересах; причина отсутствия четкой и не расплывчатой идеологии (по типу советской), во-первых, в социальной неоднородности правящей элиты, что также порождает несовпадающие идеологические позиции, а, во-вторых, обратное только усугубило бы кризис легитимности существующего политического режима, ведь ни одна из мировоззренческих моделей современного идеологического спектра не в состоянии, с одной стороны, обеспечить легитимность правящей элиты, а с другой ‒ устранить рассогласования между декларируемым и социальной практикой

Dynamical q-deformation in quantum theory and the stochastic limit

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We show that the field operators obey q-commutation relations with q depending on time. After the stochastic (or van Hove) limit, due to the nonlinearity, the atomic and field degrees of freedom become entangled in the sense that the field and the atomic variables no longer commute but give rise to a new algebra with new commutation relations replacing the Boson ones. This new algebra allows to give a simple proof of the fact that the non crossing half-planar diagrams give the dominating contribution in a weak coupling regime and to calculate explicitly the correlations associated to the new algebra. The above results depend crucially on the fact that we do not introduce any dipole or multipole approximation.Comment: Latex, 11 page

Compositional variation of thin PZT films near morphotropic phase boundary: experiment and simulation

The work was partly supported by the Ministry for Education and Science (Russian Federation) (Grant No 16.2811.2017/4.6) and RFBR (Grant No 16-02-00632)

Extended Emission from Short Gamma-Ray Bursts Detected with SPI-ACS/INTEGRAL

The short duration (T90 < 2 s) gamma-ray bursts (GRBs) detected in the SPI-ACS experiment onboard the INTEGRAL observatory are investigated. Averaged light curves have been constructed for various groups of events, including short GRBs and unidentified short events. Extended emission has been found in the averaged light curves of both short GRBs and unidentified short events. It is shown that the fraction of the short GRBs in the total number of SPI-ACS GRBs can range from 30 to 45%, which is considerably larger than has been thought previously.Comment: 27 pages, 10 figure

p-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

We demonstrate that p-adic analysis is a natural basis for the construction of a wide variety of the ultrametric diffusion models constrained by hierarchical energy landscapes. A general analytical description in terms of p-adic analysis is given for a class of models. Two exactly solvable examples, i.e. the ultrametric diffusion constraned by the linear energy landscape and the ultrametric diffusion with reaction sink, are considered. We show that such models can be applied to both the relaxation in complex systems and the rate processes coupled to rearrangenment of the complex surrounding.Comment: 14 pages, 6 eps figures, LaTeX 2.0

p-Adic Mathematical Physics

A brief review of some selected topics in p-adic mathematical physics is presented.Comment: 36 page