About Fundamental Problems of Hydrosphere and Silicate Karst

Обоснование модели гидросферы с двумя областями питания и разгрузки раскрывает закономерности формирования подземных вод, отражающие особенности системы вода – порода – газы – живое вещество и характер взаимодействия гидросферы с другими оболочками Земли. Разработку основ эндогенной гидрогеологии с изучением силикатного типа карста необходимо сосредоточить на исследовании «черных и белых курильщиков», структуры и изотопного состава вод в различных фазовых состояниях, на моделировании ситуации в зоне гидрометагенеза. Это будет способствовать развитию геотехнологии и обеспечению человечества минеральными и энергетическими ресурсами на перспективу.Rationale of hydrosphere model with two regions of supply and discharge reveals regularities of ground water formation reflecting the special features of system water – rock – gas – living material and character of interaction of hydrosphere with the other spheres of the Earth. It is necessary to concentrate the development of endogenous hy-drogeology fundamentals with the study of silicate karst on investigation of “white and black smokers”, the structure and isotope composition of water in different phase condi-tions, and on modeling of situation in hydrometagenese zone. It will support the development of geotechnology and providing the humanity with mineral and energetic resources in future

К 85-летию со дня рождения Ивана Никандровича Шестова

The information on activity of the Chair of the Dynamic Geology and Hydrogeology Department of the Perm State University, Dr. I.N. Shestov is presented.Приведены сведения о деятельности кандидата геолого-минералогических наук, доцента кафедры динамической геологии и гидрогеологии Пермского государственного национального исследовательского университета Ивана Никандровича Шестова

Non-perturbative gluon evolution, squeezing, correlations and chaos in jets

We study evolution of colour gluon states in isolated QCD jet at the non-perturbative stage. Fluctuations of gluons are less than those for coherent states under specific conditions. This fact suggests that there gluon squeezed states can arise. The angular and rapidity dependencies of the normalized second-order correlation function for present gluon states are studied at this stage of jet evolution. It is shown that these new gluon states can have both sub-Poissonian and super-Poissonian statistics corresponding to, respectively, antibunching and bunching of gluons by analogy with squeezed photon states. We investigate the possibility of coexisting both squeezing and chaos using Toda criterion and temporal correlator analysis. It is shown that these effects may coexist under some conditions.Comment: 18 pages, 3 figures, Reported on IPPP Workshop on Multiparticle Production in QCD Jets (University of Durham, Durham, UK, 12-15 December 2001

Chaplygin ball over a fixed sphere: explicit integration

We consider a nonholonomic system describing a rolling of a dynamically non-symmetric sphere over a fixed sphere without slipping. The system generalizes the classical nonholonomic Chaplygin sphere problem and it is shown to be integrable for one special ratio of radii of the spheres. After a time reparameterization the system becomes a Hamiltonian one and admits a separation of variables and reduction to Abel--Jacobi quadratures. The separating variables that we found appear to be a non-trivial generalization of ellipsoidal (spheroconical) coordinates on the Poisson sphere, which can be useful in other integrable problems. Using the quadratures we also perform an explicit integration of the problem in theta-functions of the new time.Comment: This is an extended version of the paper to be published in Regular and Chaotic Dynamics, Vol. 13 (2008), No. 6. Contains 20 pages and 2 figure

INVERSE SCATTERING TRANSFORM ANALYSIS OF STOKES-ANTI-STOKES STIMULATED RAMAN SCATTERING

Zakharov-Shabat--Ablowitz-Kaup-Newel-Segur representation for Stokes-anti-Stokes stimulated Raman scattering is proposed. Periodical waves, solitons and self-similarity solutions are derived. Transient and bright threshold solitons are discussed.Comment: 16 pages, LaTeX, no figure

The Modern Chemical Composition of the Waters of the Lakes at the Mazuevskaya Karst Depression

An analysis of the current hydrochemical state of the waters of the Mazuevskaya karst depression located in the Kusherstko-Suksunskiy karst region was carried out. The area is a zone of discharge of karst waters of the Ufimskiy Swell (brachiantikline). The obtained data provided an opportunity to trace changes in the chemical composition of karst lakes in time, as well as to supplement the hydrochemical model of this regio