Finite-time singularity formation at a magnetic neutral line in Hall magnetohydrodynamics

The formation of a current sheet in a weakly collisional plasma can be modelled as a finite-time singularity solution of magnetohydrodynamic equations. We use an exact self-similar solution to confirm and generalise a previous finding that, in sharp contrast to two-dimensional solutions in standard MHD, a finite-time collapse to a current sheet can occur in Hall MHD. We derive a criterion for the finite-time singularity in terms of initial conditions, and we use an intermediate asymptotic solution for the evolution of an axial magnetic field to obtain a general expression for the singularity formation time. We illustrate the analytical results by numerical solutions.     

Effect of permanent magnet configuration on discharge characteristics in cylindrical Hall thrusters

Magnetic field design is important in cylindrical Hall thrusters and using permanent magnets to generate magnetic field is very promising in the future. In two typical permanent magnet configurations (i.e., ring and cylindrical configurations) of cylindrical Hall thrusters, discharge characteristics are compared in this paper through the experiments and simulations. The study shows that the cylindrical configuration can bring about higher thruster performance in the same working condition. The reason is that the potential drop of the cylindrical configuration is mainly concentrated in the channel, which is beneficial for the electrons to obtain energy to promote the ionization of the propellant. However, the voltage regulation range of the cylindrical configuration is lower because the anode is more easily overheated.     

Some remarks on Bridgeland’s Hall algebras

We study the functorial properties of Bridgeland’s Hall algebras. Specifically, let 𝒜 and ? be two categories satisfying certain conditions for the definitions of Bridgeland’s Hall algebras, and let F:𝒜→? be a fully faithful exact functor, which preserves projectives, then F induces an embedding of algebras from the Bridgeland’s Hall algebra of 𝒜 to the one of ?. In addition, let A be a finite-dimensional algebra over a finite field and B some special quotient algebra of A, then the Bridgeland’s Hall algebra of B is the quotient algebra of the one of A. Moreover, we consider the BGP-reflection functors on the category of 2-cyclic complexes and obtain some homomorphisms of algebras among the subalgebras of Bridgeland’s Hall algebras.     

Synthesis,characterization and electrochemical investigation on Nickel Manganese Oxide - Polybutylene Sebacate composite electrode of biodegradable nature for micro capacitor applications

Synthesis, characterization, surface morphology and electrochemical properties of non-stochiometric Nickel–Manganese oxide nanoparticles were carried out by urea assisted sol gel method. The Ni_1-xMn_xO (0.15≤ X ≤ 0.50) nanoparticle synthesized was found to be cubic and the existence of Mn₃O₄ and MnO₂ phases were established and confirmed by X-ray Diffraction (XRD) studies. Thermo Gravimetric-Differential Thermal Analysis (TG-DTA) studies provided the calcination temperature of the xerogel at 600 °C, wherein the lattice strain and the size of the nanoparticles were determined through Williamson Hall (WH) Plot. The surface morphology characteristics of these nanoclusters were authenticated by Scanning Electron Microscope (SEM) techniques. Further, electroanalytical techniques were employed as a tool in establishing the nanocomposite as an intriguing material to act as a capacitor at enhanced efficiency compared to that of conventional capacitors. The electrochemical competence of the electrode was established through cyclic voltammogram, (CV) and Electrochemical Impedance Spectral (EIS) studies. The values of capacitance for Ni_1-xMn_xO, (0.15≤ X ≤ 0.5) nanoparticles varied from 7000 to 8000 mFg^?1, measured at 20 mVs^?1scan rate in 1.0 M Na₂SO₄and the temperature dependent conductance property for Ni_0.85Mn_0.15O electrode verified the Arrhenius Equation. The synthesis of a biodegradable polymer, Poly Butylene Sebacate (PBS) employed as conducting polymer for ultra capacitor applications is comparatively superior and definitely provides an edge over other capacitors in existence which is predominanantly attributed to its biodegradability nature. Further, the specific capacitance of PBS- Ni_0.85Mn_0.15O composite electrode was found to be 5180 mFg^?1 which clearly illustrates that these composites are potential candidates of the type biodegradable supercapacitors that are evolving transient sources of power in the future and the biodegradability of the polymer-metal oxide composite electrode fetches more significance in terms of disposal of electronic and electrical wares.     

Structural,optical and magnetic properties of chromium and manganese co-doped SnO2 nanoparticles

The rutile phase Sn_0.99-xMn_xCr_0.01O₂ (x = 0.00, 0.01, 0.03, 0.05 and 0.07) nanoparticles were synthesized by facile chemical co-precipitation method using poly ethylene glycol (PEG) as a capping agent. The samples were characterized by EDAX to confirm the expected stoichiometry. The X-ray diffraction (XRD), transmission electron microscopy (TEM) and Fourier transform infrared (FTIR) spectroscopy analyses of these samples showed the formation of impurity free crystals with a single phase rutile type tetragonal crystal structure as that of (P4₂/mnm) of SnO₂. Optical absorption spectra and corresponding Tauc's plots showed a redshift of the absorption edge in SnO₂ after being co-doped with Cr and Mn. The samples were examined for its magnetic property using vibrating sample magnetometer which indicated that transition of magnetic signals from ferromagnetic to the paramagnetic nature with inclusion of Mn content in SnO₂: Cr host matrix. The observed magnetic behavior is well supported with the bound magnetic polarons (BMPs) model.     

Similarity analysis in magnetohydrodynamics: Hall effects on free convection flow and mass transfer past a semi-infinite vertical flat plate

Heat and mass transfer along a semi-infinite vertical flat plate under the combined buoyancy force effects of thermal and species diffusion is investigated in the presence of a strong non-uniform magnetic field and the Hall currents are taken into account. The induced magnetic field due to the motion of the electrically conducting fluid is negligible. This assumption is valid for a small magnetic Reynolds number. The similarity solutions are obtained using the scale group of transformations. These are the only symmetry transformations admitted by the field equations. The non-linear boundary layer equations with the boundary conditions are transferred to a system of non-linear ordinary differential equations with the appropriate boundary conditions. Furthermore, the similarity equations are solved numerically by using a fourth order Runge-Kutta scheme with the shooting method. Numerical results for the velocity profiles, the temperature profiles and the concentration profiles are presented graphically for various values of the magnetic parameter M in the range of 0-1 with the Hall parameter m taking the values 0.5, 1, 2, and 3.     

Surface plasmon polariton assisted optical pulling force

We demonstrate both analytically and numerically the existence of optical pulling forces acting on particles located near plasmonic interfaces. Two main factors contribute to the appearance of this negative recoil force. The interference between the incident and reflected waves induces a rotating dipole with an asymmetric scattering pattern, while the directional excitation of surface plasmon polaritons (SPPs) enhances the linear momentum of scattered light. The strongly asymmetric SPP excitation is determined by spin–orbit coupling of the rotating dipole and surface plasmon polariton. As a result of the total momentum conservation, the force acting on the particle points in a direction opposite to the incident wave propagation. We derive analytical expressions for the force acting on dipolar particles placed in the proximity of plasmonic surfaces. Analytical expressions for this pulling force are derived within the dipole approximation and are in excellent agreement with results of electromagnetic numerical calculations. The forces acting on larger particles are analyzed numerically, beyond the dipole approximation.

     

Tb doping induced enhancement of anomalous Hall effect in NiFe films

Tbx(Ni0.8Fe0.2)1-x films with x≤0.14 are fabricated and the anomalous Hall effect is studied.The intrinsic anomalous Hall conductivity and the extrinsic one from the impurity and phonon induced scattering both increase with increasing x.The enhancement of the intrinsic anomalous Hall conductivity is ascribed to both the weak spin–orbit coupling enhancement and the Fermi level shift.The enhancement of the extrinsic term comes from the changes of both Fermi level and impurity distribution.In contrast,the in-plane and the out-of-plane uniaxial anisotropies in the Tb Ni Fe films change little with x.The enhancement of the Hall angle by Tb doping is helpful for practical applications of the Hall devices.     

多元方法研究单摆运动特性

根据霍尔效应原理,利用单片机技术实现了对单摆运动周期和重力加速度的实时测量,并使用photoshop,excel,matlab,tracker等软件对实验数据进行处理和分析。