Non-perturbative results for the spectrum of surface-disordered waveguides

We calculated the spectrum of normal scalar waves in a planar waveguide with absolutely soft randomly rough boundaries beyond the perturbation theories in the roughness heights and slopes, basing on the exact boundary scattering potential. The spectrum is proved to be a nearly real non-analytic function of the dispersion $\zeta^2$ of the roughness heights (with square-root singularity) as $\zeta^2 \to 0$. The opposite case of large boundary defects is summarized.Comment: REVTEX 3, OSA style, 9 pages, no figures. Submitted to Optics Letter

CONCEPTIONS OF SELF-DEFENSE IN THE CRIMINAL LAW OF THE RUSSIA AND THE UNITED STATES

Purpose: This article is devoted to the analysis of the concepts of self-defense in the criminal law of Russia and the USA. The Russian Federation has developed a negative law enforcement practice in the field of implementation of the norms on necessary defense. Persons protecting themselves and their loved ones from criminals and causing harm to criminals who commit an attack are often prosecuted for violating the principle of proportionality of defense and attack, which under current law qualifies as exceeding the limits of necessary defense. Methodology: In the United States, criminal law provides citizens with ample opportunity to take defensive actions against criminal attacks. The basic doctrinal provisions of the institution of self-defense in the legal systems of Russia and the USA are considered. Under Russian criminal law, with the help of the institute of necessary defense, less specific rights are protected. Result: This leaves a wide scope for interpretation; law enforcement officials interpret the necessary defense in a limited way, not in the interests of the defenders. Implications/Applications: US criminal law proceeds from opposing assumptions, with the help of legitimate self-defense, not abstract rights are protected, but specific benefits: life, health, sexual integrity, the inviolability of the home; which allows for an unambiguous interpretation in the interests of defenders. Novelty/Originality: The article formulated proposals for the reception of the provisions of American criminal law into Russian law.as a result of which the criminal law should casually fix situations in which the necessity defense is possible and stipulates its limits

CRIMINAL RESPONSIBILITY OF MEDICAL WORKERS FOR ISPENSING NARCOTIC DRUGS TO REDUCE THE SUFFERING OF PATIENTS

Purposes: This article is devoted to the analysis of the problem that has been developed in the Russian Federation with the access of patients with severe pain to narcotic painkillers. Methodology: The legislation of the Russian Federation recognizes that patients have an unconditional right to pain relief, which is reflected in the Federal Law No. 323 dated November 21, 2011 “On the Basics of Protecting the Health of Citizens in the Russian Federation”. However, the procedural rules governing the receipt of narcotic painkillers by patients establish strict bureaucratic rules that impede the timely access of patients to the only effective narcotic drugs in their case.   Results: Deviation from these procedural rules threatens medical and pharmaceutical workers with criminal liability for illegal drug trafficking. As a result, Russian patients do not receive painkillers on a significant scale. The quality of life in the patient, who is forced to endure severe pain, is significantly reduced, which often leads to suicide. Various legislative solutions to this problem are proposed. Implications/Applications: Liberalization of the rules for dispensing narcotic painkillers are effective in the long term, but it has several problems. Slight liberalization is not able to fundamentally improve the situation of patients with severe pain. Novelty/Originality: Significant liberalization can create a negative narcotic situation due to market saturation with legal narcotic drugs. In the short term, an effective measure will be the exclusion of the criminal liability of medical and pharmaceutical workers for the prescription and dispensing narcotic painkillers to patients with severe pain syndrome in violation of the existing procedural rules, but for medical reasons

INFLUENCE OF PRESSURE OSCILLATIONS IN COMMON RAIL INJECTOR ON FUEL INJECTION RATE

Fuel injection causes considerable oscillations of fuel pressure at the injector inlet. One of the reasons is hydraulic impact when the needle valve closes. For multiple injections, the previous injections affect the following. As both the fuel pressure in rail pac and the injection rate grow, the oscillations increase. The pressure oscillation range at the common rail injector inlet at pac=1500 bar is up to 350 bar, and at the rail pressure pac=500 bar, the amplitude decreases to 80 bar. Physical properties of the fuel are also important. As the viscosity of the fuel increases, its hydraulic friction grows which results in a rapid damping of pressure oscillations. The data for an injector operating on sunflower oil is presented. As compared with diesel fuel, the oscillations range decreases from 400 to 250 bar at the same operating mode. The influence of the interval between the impulses of a double injection on the injection rate of the second fuel portion was investigated. Superposition of two waves during multiple injections may result in amplification and damping of the oscillations. Simulation was performed to estimate the influence of fuel type and time interval Δτ between control impulses of a double injection on the injection quantity of the second portion at pressures of 2000-3000 bar. When the rail pressure pac grows, the oscillations and their impact on the injection process increase. For diesel fuel at pressure of pac=2000 bar, the variation in injection rates of the second portion is 2.36-4.62 mg, and at pac=3000 bar – 1.58-6.63 mg

Challenges of beta-deformation

A brief review of problems, arising in the study of the beta-deformation, also known as "refinement", which appears as a central difficult element in a number of related modern subjects: beta \neq 1 is responsible for deviation from free fermions in 2d conformal theories, from symmetric omega-backgrounds with epsilon_2 = - epsilon_1 in instanton sums in 4d SYM theories, from eigenvalue matrix models to beta-ensembles, from HOMFLY to super-polynomials in Chern-Simons theory, from quantum groups to elliptic and hyperbolic algebras etc. The main attention is paid to the context of AGT relation and its possible generalizations.Comment: 20 page

Quantitative Observation of Magnetic Flux Distribution in New Magnetic Films for Future High Density Recording Media

International audienceOff-axis electron holography was used to observe and quantify the magnetic microstructure of a perpendicular magnetic anisotropic (PMA) recording media. Thin foils of PMA materials exhibit an interesting up and down domain configuration. These domains are found to be very stable and were observed at the same time with their stray field, closing magnetic flux in the vacuum. The magnetic moment can thus be determined locally in a volume as small as few tens of cubic nanometers

Elliptic flow from two- and four-particle correlations in Au + Au collisions at sqrt{s_{NN}} = 130 GeV

Elliptic flow holds much promise for studying the early-time thermalization attained in ultrarelativistic nuclear collisions. Flow measurements also provide a means of distinguishing between hydrodynamic models and calculations which approach the low density (dilute gas) limit. Among the effects that can complicate the interpretation of elliptic flow measurements are azimuthal correlations that are unrelated to the reaction plane (non-flow correlations). Using data for Au + Au collisions at sqrt{s_{NN}} = 130 GeV from the STAR TPC, it is found that four-particle correlation analyses can reliably separate flow and non-flow correlation signals. The latter account for on average about 15% of the observed second-harmonic azimuthal correlation, with the largest relative contribution for the most peripheral and the most central collisions. The results are also corrected for the effect of flow variations within centrality bins. This effect is negligible for all but the most central bin, where the correction to the elliptic flow is about a factor of two. A simple new method for two-particle flow analysis based on scalar products is described. An analysis based on the distribution of the magnitude of the flow vector is also described.Comment: minor text change

Azimuthal anisotropy and correlations in the hard scattering regime at RHIC

Azimuthal anisotropy ($v_2$) and two-particle angular correlations of high $p_T$ charged hadrons have been measured in Au+Au collisions at $\sqrt{s_{NN}}$=130 GeV for transverse momenta up to 6 GeV/c, where hard processes are expected to contribute significantly. The two-particle angular correlations exhibit elliptic flow and a structure suggestive of fragmentation of high $p_T$ partons. The monotonic rise of $v_2(p_T)$ for $p_T<2$ GeV/c is consistent with collective hydrodynamical flow calculations. At \pT>3 GeV/c a saturation of $v_2$ is observed which persists up to $p_T=6$ GeV/c.Comment: As publishe