Letter: Perturbative Evaluation of the Effective Action for a Self-Interacting Conformal Field on a Manifold with Boundary

In a series of three projects a new technique which allows for higher-loop renormalisation on a manifold with boundary has been developed and used in order to assess the effects of the boundary on the dynamical behaviour of the theory. Commencing with a conceptual approach to the theoretical underpinnings of the, underlying, spherical formulation of Euclidean Quantum Field Theory this overview presents an outline of the stated technique's conceptual development, mathematical formalism and physical significance.     

Extending the MSSM with Singlet Higgs and Right Handed Neutrino for the Self-Interacting Dark Matter

In order to meet the requirement of BBN,the right handed neutrino is added to the singlet Higgs sector in the GNMSSM.The spectrum and Feynman rules are calculated.the dark matter pheonomenology is also studied.In case of λ ~ 0,the singlet sector can give perfect explanation of relic abundance of dark matter and small cosmological structure simulations.The BBN constraints on the light mediator can be easily solved by decaying to the right handed neutrino.When the λ_N is at the order of O(0.1),the mass of the mediator can be constrained to several MeV.     

Kink with Allowance for the Energy Dissipation and Pumping

In the present work, the (1+1)-dimensional nonlinear equation of motion of ϕ⁴ scalar theory is examined with simultaneous allowance for the processes of energy dissipation and pumping in the system. The energy dissipation is described in the equation by a linear term, and the energy pumping is described by a squared time derivative of the field. A single-kink solution is constructed for the given problem. It is demonstrated that a scalar field expansion in the inflationary model can occur with balanced energy dissipation and pumping. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 40–42, May, 2005.     

Three-Body Recombination Rates Near a Feshbach Resonance within a Two-Channel Contact Interaction Model

We calculate the three-body recombination rate into a shallow dimer in a gas of cold bosonic atoms near a Feshbach resonance using a two-channel contact interaction model. The two-channel model naturally describes the variation of the scattering length through the Feshbach resonance and has a finite effective range. We confront the theory with the available experimental data and show that the two-channel model is able to quantitatively describe the existing data. The finite effective range leads to a reduction of the scaling factor between the recombination minima from the universal value of 22.7. The reduction is larger for larger effective ranges or, correspondingly, for narrower Feshbach resonances.     

Self-Interacting Electromagnetic Fields and a Classical Discussion on the Stability of the Electric Charge

The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnetically stable solutions generated by purely electric charges whose electric and magnetic fields are computed as solutions to the Born-Infeld equations. The approach yields rich internal structures that can be described in terms of the physical fields with explicit analytic solutions. This suggests that the anomalous field probably originates from a magnetic excitation in the vacuum due to the presence of the very intense electric field. In addition, the magnetic contribution has been found to exert a negative pressure on the charge. This, in turn, balances the electric repulsion, in such a way that the self-interaction of the field appears as a simple and natural classical mechanism that is able to account for the stability of the electron charge.     

Estimation of Plasma Density by Surface Plasmons for Surface-Wave Plasmas

An estimation method of plasma density based on surface plasmons theory for surface-wave plasmas is proposed. The number of standing-wave is obtained directly from the discharge image, and the propagation constant is calculated with the trim size of the apparatus in this method, then plasma density can be determined with the value of 9.1 × 10^17m^-3. Plasma density is measured using a Langmuir probe, the value is 8.1 × 10^17m^-3 which is very close to the predicted value of surface plasmons theory. Numerical simulation is used to check the number of standing-wave by the finite-difference time-domain （FDTD） method also. All results are compatible both of theoretical analysis and experimental measurement.     

Data-Based Optimal Bandwidth for Kernel Density Estimation of Statistical Samples

It is a common practice to evaluate probability density function or matter spatial density function from statistical samples. Kernel density estimation is a frequently used method, but to select an optimal bandwidth of kernel estimation, which is completely based on data samples, is a long-term issue that has not been well settled so far. There exist analytic formulae of optimal kernel bandwidth, but they cannot be applied directly to data samples, since they depend on the unknown underlying density functions from which the samples are drawn. In this work, we devise an approach to pick out the totally data-based optimal bandwidth. First, we derive correction formulae for the analytic formulae of optimal bandwidth to compute the roughness of the sample's density function. Then substitute the correction formulae into the analytic formulae for optimal bandwidth, and through iteration we obtain the sample's optimal bandwidth. Compared with analytic formulae, our approach gives very good results, with relative differences from the analytic formulae being only 2%~3% for sample size larger than 10⁴. This approach can also be generalized easily to cases of variable kernel estimations.     

Density of mechanisms within the flexibility window of zeolites

By treating idealized zeolite frameworks as periodic mechanical trusses, we show that the number of flexible folding mechanisms in zeolite frameworks is strongly peaked at the minimum density end of their flexibility window. 25 of the 197 known zeolite frameworks exhibit an extensive flexibility, where the number of unique mechanisms increases linearly with the volume when long wavelength mechanisms are included. Extensively flexible frameworks therefore have a maximum in configurational entropy, as large crystals, at their lowest density. Most real zeolites do not exhibit extensive flexibility, suggesting that surface and edge mechanisms are important, likely during the nucleation and growth stage. The prevalence of flexibility in real zeolites suggests that, in addition to low framework energy, it is an important criterion when searching large databases of hypothetical zeolites for potentially useful realizable structures.     

Estimation of the Current Density in Cathode Arc Spots

Probable values of the (averaged) current density j in cathode arc spots are calculated using simple physical models of relevant processes. From six independent estimations results (in case of clean copper cathodes): j=(10 ± 5) · 10⁷ A/cm², possibly somewhat more.     

The Kepler Problem with Allowance for Modification of the Gravitational Potential in the Expanding Universe with a Collisionless Gas

The paper deals with the solution to the Kepler problem for the gravitational potential of a point mass with allowance for the presence of collisionless particles in the Universe [3]. The estimates are reported for the Solar System planets and for the Sqr A object which is assumed to be a supermassive black hole at the center of the Milky Way [1]. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 26–28, August, 2005.     

Proton Knockout of Nucleon Clusters with Allowance for Excited States of the Fragments

Russian Physics Journal - On the basis of a cluster model of the nucleus, processes of proton knockout of nucleon clusters are investigated. An expression for the cross section is obtained,...     

Equation of the Crack Front with Allowance for the Metric Properties of the Material

The geometric representation of the crack front propagation is examined in a Finsler space in the context of the discontinuity theory. The structure of the medium is taken into account via the connectivity coefficients of the Finsler space and its metric. It is demonstrated that this approach leads to the construction of fiber spaces and allows the gauge invariance to be introduced correctly and noncontradictorily into the fracture theory. The Lie derivative is used to proceed from discontinuities to differentials. The equation of the front crack surface is retrieved.     

Allowance for angular divergence in the generation of the second harmonic in crystals with a regular domain structure

We obtained basic analytical expressions for the efficiency of the second harmonic in nonlinear crystals with a regular domain structure; in these expressions we took into account the angular divergence of the laser beam. The calculation was done in the geometric-optics approximation of the given field of laser radiation. We show that the expressions obtained are similar to the corresponding expressions for homogeneous nonlinear crystals. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 67, No. 1, pp. 134–138, January–February, 2000.     

Estimation of the Inertial Component of the Deforming Force for the Materials Subjected to Mechanical Tests

The inertial component of the deforming force for the materials subjected to high-rate tension, compression, and cutting tests is estimated. It is demonstrated that the inertial component of work of deformation for the materials subjected to cutting tests does not exceed 1% for strain rates less that 10⁷ s^–1.     

Einstein's Gravitational Equations in the Friedman Space with Allowance for the Energy-Momentum Tensor

The present paper continues investigations started in [1]. Einstein's gravitational equations are solved based on the generalized nonisotropic Friedman metric with rotation considering the hydrodynamic energy-momentum tensor of an ideal liquid and the equation of motion.     

Phase Transitions in the Antiferromagnetic Heisenberg Model on a Body-Centered Cubic Lattice with Allowance for the Next-Nearest-Neighbor Interactions

Based on the replica exchange Monte Carlo algorithm and histogram analysis of data, the phase transitions in the three-dimensional antiferromagnetic Heisenberg model on a body-centered cubic lattice with allowance for the next-nearest-neighbor interaction are studied. The study is performed for the nextnearest- neighbor exchange interaction ratio of r = 1. It is established that, for this model, the transition from the antiferromagnetic to paramagnetic phase is a first-order phase transition.