Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential

We address a two-dimensional nonlinear elliptic problem with a finite-amplitude periodic potential. For a class of separable symmetric potentials, we study the bifurcation of the first band gap in the spectrum of the linear Schr\"{o}dinger operator and the relevant coupled-mode equations to describe this bifurcation. The coupled-mode equations are derived by the rigorous analysis based on the Fourier--Bloch decomposition and the Implicit Function Theorem in the space of bounded continuous functions vanishing at infinity. Persistence of reversible localized solutions, called gap solitons, beyond the coupled-mode equations is proved under a non-degeneracy assumption on the kernel of the linearization operator. Various branches of reversible localized solutions are classified numerically in the framework of the coupled-mode equations and convergence of the approximation error is verified. Error estimates on the time-dependent solutions of the Gross--Pitaevskii equation and the coupled-mode equations are obtained for a finite-time interval.Comment: 32 pages, 16 figure

The Lake Baikal neutrino experiment

We rewiew the present status of the Baikal Neutrino Project and present the results of a search for high energy neutrinos with the detector intermediate stage NT-96.Comment: 3 pages, 2 figures, to appear in the Proceedings of Sixth International Workshop on Topics in Astroparticle and Underground Physics (TAUP99), September 6-10, 1999, Pais, Franc

Local fluctuations in quantum critical metals

We show that spatially local, yet low-energy, fluctuations can play an essential role in the physics of strongly correlated electron systems tuned to a quantum critical point. A detailed microscopic analysis of the Kondo lattice model is carried out within an extended dynamical mean-field approach. The correlation functions for the lattice model are calculated through a self-consistent Bose-Fermi Kondo problem, in which a local moment is coupled both to a fermionic bath and to a bosonic bath (a fluctuating magnetic field). A renormalization-group treatment of this impurity problem--perturbative in $\epsilon=1-\gamma$, where $\gamma$ is an exponent characterizing the spectrum of the bosonic bath--shows that competition between the two couplings can drive the local-moment fluctuations critical. As a result, two distinct types of quantum critical point emerge in the Kondo lattice, one being of the usual spin-density-wave type, the other ``locally critical.'' Near the locally critical point, the dynamical spin susceptibility exhibits $\omega/T$ scaling with a fractional exponent. While the spin-density-wave critical point is Gaussian, the locally critical point is an interacting fixed point at which long-wavelength and spatially local critical modes coexist. A Ginzburg-Landau description for the locally critical point is discussed. It is argued that these results are robust, that local criticality provides a natural description of the quantum critical behavior seen in a number of heavy-fermion metals, and that this picture may also be relevant to other strongly correlated metals.Comment: 20 pages, 12 figures; typos in figure 3 and in the main text corrected, version as publishe

High-precision limits on W–W′W–W' and Z–Z′Z–Z' mixing from diboson production using the full LHC Run 2 ATLAS data set

The full ATLAS Run 2 data set with time-integrated luminosity of $139 \, {\text {fb}}^{-1}$ in the diboson channels in hadronic final states is used to probe a simple model with an extended gauge sector (EGM), proposed by Altarelli et al., and often taken as a convenient benchmark by experimentalists. This model accommodates new charged $W'$ and neutral $Z'$ vector bosons with modified trilinear Standard Model gauge couplings, decaying into electroweak gauge boson pairs WZ or WW, where W/Z decay hadronically. Exclusion limits at the 95% CL on the $Z'$ and $W'$ resonance production cross section times branching ratio to electroweak gauge boson pairs in the mass range of $\sim$ 1–5 TeV are here converted to constraints on W–$W'$ and Z–$Z'$ mixing parameters and masses for the EGM. We present exclusion regions on the parameter space of the $W'$ and $Z'$ by using the full Run 2 data set comprised of pp collisions at $\sqrt{s}=13 \, \hbox {TeV}$ and recorded by the ATLAS detector at the CERN LHC. The obtained exclusion regions are significantly extended compared to those obtained from the previous analysis performed with Tevatron data as well as with LHC data collected at 7 and 8 TeV in Run 1 and are the most stringent bounds to date.The full ATLAS Run 2 data set with time-integrated luminosity of 139 fb$^{-1}$ in the diboson channels in hadronic final states is used to probe a simple model with an extended gauge sector (EGM), proposed by Altarelli et al., and often taken as a convenient benchmark by experimentalists. This model accommodates new charged $W'$ and neutral $Z'$ vector bosons with modified trilinear Standard Model gauge couplings, decaying into electroweak gauge boson pairs $WZ$ or $WW$, where $W$/$Z$ decay hadronically. Exclusion limits at the 95% C.L. on the $Z'$ and $W'$ resonance production cross section times branching ratio to electroweak gauge boson pairs in the mass range of $\sim$ 1 - 5 TeV are here converted to constraints on $W$-$W'$ and $Z$-$Z'$ mixing parameters and masses for the EGM. We present exclusion regions on the parameter space of the $W'$ and $Z'$ by using the full Run 2 data set comprised of $pp$ collisions at $\sqrt{s}=13$ TeV and recorded by the ATLAS detector at the CERN LHC. The obtained exclusion regions are significantly extended compared to those obtained from the previous analysis performed with Tevatron data as well as with LHC data collected at 7 and 8 TeV in Run 1 and are the most stringent bounds to date

Предикторы эффективности остеопатических техник в комплексном лечении хронического бескаменного холецистита у офицеров запаса

The effectiveness of osteopathic techniques in complex treatment of patients with chronic acalculous cholecystitis was analyzed based on the results of direct and remote observations. The study was conducted on two groups of reserve soldiers for 54 people in each. The experimental group received osteopathic treatment instead of a massage on the background of standard therapy. Biochemical indices of blood and bile were compared, as well as pathobiomechanical disorders of organs of the subdiaphragmatic space. Estimation of predictors for the effectiveness of osteopathic treatment was carried out using dispersion, correlation and regression analyzes on the Statistica v 7.0 software package (Statsoft).Проанализирована эффективность остеопатических техник в комплексном лечении больных хроническим бескаменным холециститом по результатам непосредственных и отдаленных наблюдений. Исследование проведено на двух группах военнослужащих запаса по 54 человека в каждой. Опытная группа получала на фоне стандартной терапии вместо массажа остеопатическое лечение. Сравнивались биохимические показатели крови и желчи, а также патобиомеханические нарушения органов поддиафрагмального пространства. Оценка предикторов эффективности остеопатического лечения проводилась с применением дисперсионного, корреляционного и регрессионного анализов на программном комплексе Statistica v 7.0 (Statsoft)

Carbonate reservoirs of subsalt deposits of the Caspian syneclise

The Caspian syneclise is one of the most promising hydrocarbon regions in Russia and Kazakhstan, which is confirmed by the discovery in recent years of large oil and gas fields within its borders. The presence in the Caspian syneclise at several stratigraphic levels of clay-carbonate deposits enriched with dispersed organic matter, a sufficiently high degree of their catagenetic transformation, the passage of the so-called «oil window» – all indicates a favorable situation for the generation of hydrocarbons in the region under consideration. The spread of possible accumulations of oil and gas in the subsalt sediments of the syneclise is mainly controlled by the quality of the reservoirs and impermeable layers. The proposed article illustrates the authors’ attempt to create a generalized model for the formation of subsalt strata and to develop a scheme for the interrelationship between the processes of accumulation of carbonate sediments and their hydrocarbon productivity. The application of the obtained results to the practice of oil and gas prospecting can be of great importance, since the evaluation of the hydrocarbon productivity of the subsoil is impossible without the prediction of the spatial distribution of differentfacial deposits playing the role of accumulating and preserving strata. The revealed regularities of the space-time relationships of the formation of the main elements of natural reservoirs responsible for the oil and gas content in the subsalt sediments can serve to some extent as a base for the growth of hydrocarbon reserves, which is so necessary for the Caspian region

Sedimentation-capacity model of the subsalt deposits of the Southern Urals and adjoining territories

The junction zone of the Caspian syneclise, the Russian Plate and the Pre-Ural trough is characterized by a complex structure. It has been studied in some detail during large-scale geological, geophysical, and drilling operations in the search for mineral deposits. Subsalt deposits are associated with the main prospects for the growth of hydrocarbon reserves in this region. This makes it important to rethink the available data and conduct scientific analysis to identify patterns of formation of sedimentary complexes and an integrated assessment of their possible hydrocarbon productivity by means of sedimentation modeling. The structure and history of the formation of five large sedimentary complexes: the Ordovician-Lower Devonian, the Central Middle Devonian, the Frasnian-Tournaisian, the Visean-Upper Carboniferous, and the Permian are considered in detail. For each complex, a structural-formational position and sedimentation conditions are determined, which should determine the hydrocarbon productivity of local objects. The revealed relationship between the conditions of carbonate sediments accumulation and their potential reservoir properties served as the basis for forecasting the productivity of regional natural reservoirs. The paper presents a generalized model of the formation of subsalt strata and the forecast of the spatial distribution of different facies deposits, which play the role of accumulating and preserving strata. The results obtained are applicable in the practice of oil and gas exploration in the regio