Flow of a polymer solution between two rotating rolls

A new model of the film of a viscoelastic polymer solution based on the principles of mechanics of saturated porous media is suggested. The point of exit of the film from the gap is not prescribed as is done in traditional approaches but is determined from the condition of adhesion strength of the contact of the polymer with the rolls. An analytical solution of the stationary problem is obtained. Disturbances of this solution caused by periodic changes in the thickness of an incoming flow or a pulling rate are investigated

Periodic-Orbit Theory of Anderson Localization on Graphs

We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an a-periodic Kronig-Penney model in one dimension. The exact expression for the probability to return of an initially localized state is computed in terms of classical trajectories. It saturates to a finite value due to localization, while the diagonal approximation decays diffusively. Our theory is based on the identification of families of isometric orbits. The coherent periodic-orbit sums within these families, and the summation over all families are performed analytically using advanced combinatorial methods.Comment: 4 pages, 3 figures, RevTe

The sensitivity of the next generation of lunar Cherenkov observations to UHE neutrinos and cosmic rays

We present simulation results for the detection of ultra-high energy (UHE) cosmic ray (CR) and neutrino interactions in the Moon by radio-telescopes. We simulate the expected radio signal at Earth from such interactions, expanding on previous work to include interactions in the sub-regolith layer for single dish and multiple telescope systems. For previous experiments at Parkes, Goldstone, and Kalyazin we recalculate the sensitivity to an isotropic flux of UHE neutrinos. Our predicted sensitivity for future experiments using the Australia Telescope Compact Array (ATCA) and the Australian SKA Pathfinder (ASKAP) indicate these instruments will be able to detect the more optimistic UHE neutrino flux predictions, while the Square Kilometre Array (SKA) will also be sensitive to all bar one prediction of a diffuse `cosmogenic', or `GZK', neutrino flux. Current uncertainties concerning the structure and roughness of the lunar surface prevents an accurate calculation of the sensitivity of the lunar Cherenkov technique for UHE cosmic ray astronomy at high frequencies. However, below 200 MHz we find that the proposed SKA low-frequency aperture array should be able to detect events above 56 EeV at a rate about 30 times that of the current Pierre Auger Observatory. This would allow directional analysis of UHE cosmic rays, and investigation of correlations with putative cosmic ray source populations, to be conducted with very high statistics.Comment: 29 pages, 9 figure

Flow of a polymer solution between two rotating rolls

A new model of the film of a viscoelastic polymer solution based on the principles of mechanics of saturated porous media is suggested. The point of exit of the film from the gap is not prescribed as is done in traditional approaches but is determined from the condition of adhesion strength of the contact of the polymer with the rolls. An analytical solution of the stationary problem is obtained. Disturbances of this solution caused by periodic changes in the thickness of an incoming flow or a pulling rate are investigated

Flow of a polymer solution between two rotating rolls

A new model of the film of a viscoelastic polymer solution based on the principles of mechanics of saturated porous media is suggested. The point of exit of the film from the gap is not prescribed as is done in traditional approaches but is determined from the condition of adhesion strength of the contact of the polymer with the rolls. An analytical solution of the stationary problem is obtained. Disturbances of this solution caused by periodic changes in the thickness of an incoming flow or a pulling rate are investigated

Flow of a polymer solution between two rotating rolls

A new model of the film of a viscoelastic polymer solution based on the principles of mechanics of saturated porous media is suggested. The point of exit of the film from the gap is not prescribed as is done in traditional approaches but is determined from the condition of adhesion strength of the contact of the polymer with the rolls. An analytical solution of the stationary problem is obtained. Disturbances of this solution caused by periodic changes in the thickness of an incoming flow or a pulling rate are investigated

Ризики політичної самоорганзації

Березинський В. П. Ризики політичної самоорганзації / В. П. Березинський // Актуальні проблеми політики : зб. наук. пр. / редкол. : С. В. Ківалов (голов. ред..), Л. І. Кормич (заст. голов. ред..), Ю. П. Аленін [та ін.] ; МОН України ; НУ ОЮА. – Одеса : Фенікс, 2013. – Вип. 48. – С. 30-39.The essence and peculiarities of risks of political self-organization in the context of the entropy change in the system under agriculture (traditional), industrial and post-industrial society. It is shown that the ruling in the industrial society ‘positive’ logic of social production, which includes the accumulation and distribution of wealth in the modern (post-industrial) society overlaps (superseded) ‘negative’ logic of production and distribution of risk