水平圆管内磁性潜热型功能流体对流换热特性的数值模拟

建立磁场作用下水平圆管内磁性潜热型功能流体对流换热的数学物理模型,分析磁场强度、磁性相变微胶囊体积分数、流体质量流量等因素对流体对流换热的影响.磁场对磁性潜热型功能流体的对流换热具有显著的强化作用,磁场强度愈大强化作用愈明显,强化原因是磁性相变微胶囊受到磁力作用产生扰动.     

A class of stationary charged dust solutions of Einstein's field equations

We consider a special class of stationary rotating charged dust solutions of Einstein's field equations without cosmological constant. In these space-times, the motion of freely falling particles and of light rays can be visualized by the motion of charged particles in an appropriate model magnetic field. Any curl-free magnetostatic field, given on an open subset of Euclidean 3-space, can serve as a model magnetic field for a charged dust solution in this sense. The simplest example, corresponding to a homogeneous model magnetic field, is given by Som-Raychaudhuri space-time. Some other examples are worked out.     

Spontaneous electromagnetic superconductivity of vacuum in a strong magnetic field: evidence from the Nambu-Jona-Lasinio model

Using an extended Nambu-Jona-Lasinio model as a low-energy effective model of QCD, we show that the vacuum in a strong external magnetic field (stronger than 10(16) T) experiences a spontaneous phase transition to an electromagnetically superconducting state. The unexpected superconductivity of, basically, empty space is induced by emergence of quark-antiquark vector condensates with quantum numbers of electrically charged rho mesons. The superconducting phase possesses an anisotropic inhomogeneous structure similar to a periodic Abrikosov lattice in a type-II superconductor. The superconducting vacuum is made of a new type of vortices which are topological defects in the charged vector condensates. The superconductivity is realized along the axis of the magnetic field only. We argue that this effect is absent in pure QED.     

A model of the solar magnetic cycle with a meridian stream closed inside the convective zone

A dynamo model of the solar cycle suggesting a relatively new mechanism for generation of poloidal magnetic fields is studied. This model considers the meridian motion in which the material rises at the equator and sinks at the poles and allows the magnetic fields from the solar surface to be transferred to the generation layer at the base of the convective zone. In addition to the surface stream of material and large-scale magnetic field from the equator to the poles, we assume the looping of a new poloidal magnetic field near the poles. At the base of the convective zone, thin meridian streams transfer the end of that loop from the poles to the equator. The loop consists of poloidal fields on the top and at the bottom of the stream near the base of the convective zone. Thus, new poloidal magnetic fields, which are opposite in sign to the poloidal fields of the current solar cycle, are generated in the depth of the convective zone. New poloidal fields on the top of the stream become the fields of a new 11-year cycle. At the bottom of the meridian stream, the direction of the poloidal magnetic field is the same as the direction of the poloidal field of the current solar cycle. The lifetime of the deep-seated poloidal field is much longer than 11 years, due to the motion of the material which keeps it from rising too rapidly. The meridian loop of the subsequent solar cycle has a poloidal field opposite in direction to the poloidal field at the base of the convective zone. This counterbalances the poloidal field at the bottom of the meridian stream. The numerical model calculates the magnetic fields in the surface and bottom layers of the convective zone.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 10, pp. 1187–1193, October, 1996.This work was supported in part by the Russian Foundation for Fundamental Research under Grant No. 93-0217133 and the International Science Foundation under ISF Grant No. JB5100.     

Mass operator for a charged lepton in the Weinberg-Salam theory in a constant external field

An expression is found for the propagator of a charged W-boson in the presence of an arbitrary flat-wave electromagnetic field. The W-boson contribution to the mass operator of a charged lepton moving in a constant external electromagnetic field is computed in the second order of perturbation theory in the Weinberg-Salam model. A closed expression is obtained for the vacuum W-boson contribution (independent of the external field) to the anomalous magnetic moment of a charged lepton.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 55–57, December, 1985.     

Particle Spin Described by Quantum Hamilton Equations

The anomalous Zeeman effect made it clear that charged particles like the electron possess a magnetic dipole moment. Classically, this could be understood if the charged particle possesses an eigenrotation, that is, spin. Within Nelson's stochastic mechanics, it was shown that the model of a rotating charged ball is able to reproduce the well-known spin expectation values. This classically motivated model of intrinsic rotation described in terms of a stochastic process is revisited here within the formalism of stochastic optimal control theory. Quantum Hamilton equations (QHE) for spinning particles are derived, which reduce to their classical counterpart in the zero quantum noise limit. These equations enable the calculation of the common spin expectation values without the use of the wave function. They also offer information on the orientation dynamics of the magnetic moment of charged particles beyond the behavior of the spin averages.     

Thermal convection thresholds in a Oldroyd magnetic fluid

We report theoretical and numerical results on convection for a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties is given by the Oldroyd model. We obtain explicit expressions for the convective thresholds in terms of the parameters of the system in the case of idealized boundary conditions. We also calculate numerically the convective thresholds for the case of realistic boundary conditions. The effect of the Kelvin force and of the rheology on instability thresholds for a diluted suspensions are emphasized.     

Quasiclassical theory of a charged Bose gas

The static linear response of a charged Bose gas in the presence of a magnetic field is studied in a “quasiclassical” model previously proposed for an electron gas. The Bose gas is shown to exhibit different screening behavior. The relevance of the study of a charged Bose gas in relation to understanding the properties of systems like neutron star is discussed.     

Stochastic motion of a charged particle in a magnetic field: I Classical treatment

We study the dissipative, classical dynamics of a charged particle in the presence of a magnetic field. Two stochastic models are employed, and a comparative analysis is made, one based on diffusion processes and the other on jump processes. In the literature on collision-broadening of spectral lines, these processes go under the epithet of weak-collision model and Boltzmann-Lorentz model, respectively. We apply our model calculation to investigate the effect of magnetic field on the collision-broadened spectral lines, when the emitter carries an electrical charge. The spectral lines show narrowing as the magnetic field is increased, the narrowing being sharper in the Boltzmann-Lorentz model than in the weak collision model.     

Energy release in corona magnetic loops

It is found that thin magnetic tubes of radius about 10⁷-10⁸ cm and longitudinal current 10¹¹-10¹² A can be generated under the conditions of convective flows in the solar photosphere. Moreover, the so-called “magnetic holes”, cylindrical magnetic structures with magnetic field decreasing towards the center, can be formed in divergent convective (Evershed) flows. It is shown that the steady-state Joule energy release (dissipation) at the photospheric footpoints of a magnetic tube increase towards the tube periphery in the upper photosphere and can exceed the optical radiation losses. In particular, this can lead to the occurrence of magnetic tubes with hot external envelopes. We consider two models of magnetic flaring loops in the active region. One model describes the explosive energy release in an individual loop caused by the penetration of the dense partially ionized plasma of a prominence into the magnetic tube (in the upper part of the loop) due to flute instability or the penetration of the surrounding chromospheric plasma (in the chromospheric part of the loop). The inflow of these plasmas destroys the force-free structure of the magnetic tube and switches on an efficient mechanism of energy release due to ion-atom collisions in a non-steady-state plasma. We studied the dynamics of the joule energy release in such processes. The second model of flaring energy release is based on the global approach in the study of the dynamics and energetics of solar active regions with allowance for their complex self-consistent evolution. The structure of the magnetic field of an active region was represented as an ensemble of inductively coupled current-carrying magnetic loops interacting with each other. Each loop, in turn, was simulated by an equivalent electric circuit with variable parameters as a function of the shape, scale, and position of the loop in the ensemble as well as of the plasma temperature and density in the magnetic tube. Using this model, we showed that a rising magnetic loop can cause thermal flare-like heating of one loop and cooling of other loops in the ensemble. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 40, Nos. 1–2, pp. 176–212, January–February, 1997.     

Fluctuation theorems and orbital magnetism in nonequilibrium state

We study Langevin dynamics of a driven charged particle in the presence as well as in the absence of magnetic field. We discuss the validity of various work fluctuation theorems using different model potentials and external drives. We also show that one can generate an orbital magnetic moment in a nonequilibrium state which is absent in equilibrium.      

On the effect of longitude-dependent fields on convection in stellar atmospheres

In rotating stellar convective zones, heat transfer is shown to be associated with unbalanced azimuth forces arising in the radially ascending (heated) or descending (cold) matter. The presence of a longitude-dependent magnetic field generates additional azimuth forces, hence, new ways of compensating for the unbalanced forces. Generally speaking, this magnetic field is variable but may be nearly static in layers where convective equilibrium is replaced by radiative equilibrium. The condition for the coexistence of the static and usual fields is derived. To this end, an axisymmetric azimuth magnetic field of energy comparable to the energy of rotation should be introduced into models under consideration. In such configurations, conditions for magnetic field generation, as in the Sun, may appear.     

Effective dynamics of an electrically charged string with a current

Equations of motion for an electrically charged string with a current in an external electromagnetic field with regard to the first correction due to the self-action are derived. It is shown that the reparameterization invariance of the free action of the string imposes constraints on the possible form of the current. The effective equations of motion are obtained for an absolutely elastic charged string in the form of a ring (circle). Equations for the external electromagnetic fields that admit stationary states of such a ring are derived. Solutions to the effective equations of motion of an absolutely elastic charged ring in the absence of external fields as well as in an external uniform magnetic field are obtained. In the latter case, the frequency at which one can observe radiation emitted by the ring is evaluated. A model of an absolutely nonstretchable charged string with a current is proposed. The effective equations of motion are derived within this model, and a class of solutions to these equations is found.     

Magnetic flux inversion in charged BPS vortices in a Lorentz-violating Maxwell–Higgs framework

We demonstrate for the first time the existence of electrically charged BPS vortices in a Maxwell–Higgs model supplemented with a parity-odd Lorentz-violating (LV) structure belonging to the CPT-even gauge sector of the standard model extension and a fourth order potential (in the absence of the Chern–Simons term). The modified first order BPS equations provide charged vortex configurations endowed with some interesting features: localized and controllable spatial thickness, integer flux quantization, electric field inversion and localized magnetic flux reversion. This model could possibly be applied on condensed matter systems which support charged vortices carrying integer quantized magnetic flux, endowed with localized flipping of the magnetic flux.     

Interaction between superconducting vortices and a Bloch wall in ferrite garnet films

A theoretical model for how Bloch walls occurring in in-plane magnetized ferrite garnet films can serve as efficient magnetic micromanipulators is presented. As an example, the walls' interaction with Abrikosov vortices in a superconductor in close contact with a garnet film is analyzed within the London approximation. The model explains how vortices are attracted to such walls, and excellent quantitative agreement is obtained for the resulting peaked flux profile determined experimentally in NbSe(2) using high-resolution magneto-optical imaging of vortices. In particular, this model, when generalized to include charged magnetic walls, explains the counterintuitive attraction observed between vortices and a Bloch wall of opposite polarity.     

Anomalous reduction of the β-decay rate due to resonant energy absorption

The solvable model of a periodic array of quantum dots in a magnetic field is investigated. It is shown that in the case of square lattice and irrational flux the energy spectrum of a charged particle in the array has a fractal structure. In the case of honeycomb lattice the existence of an additional splitting of magnetic bands related with lattice geometry. The position of the Van Hove singularities is determined.     

Tunneling in magnetic fields

Tunneling effects in external magnetic fields are discussed in the model problem of a charged particle on a vertical rotating circle in a uniform gravitational field. The magnetic fields used are the ones for the monopole and a certain solution that arises in the context of the classical Weinberg-Salam model. Using instanton methods and the Gaussian approximation, various consequences regarding the tunnelling amplitudes and the level splittings in the presence of magnetic fields are obtained.     

Leptonic dipole moments in the left-right supersymmetric model

The observation of neutrino oscillations imposes a pattern of mixing in both the sneutrino and charged slepton sectors. On the other hand, the apparent 2.6 deviation of the anomalous magnetic moment of the muon from the standard model value favors a scenario beyond the standard model. We show that, in a supersymmetric model with left-right symmetry, which provides an explanation for both phenomena, the relationship between flavor conserving dipole moments, such as the magnetic and the electric dipole moments, and flavor violating dipole moments, such as and , is quite different from that in the MSSM. From general analytic considerations, we derive bounds on the fractional sneutrino mass splittings , and the fractional charged slepton splittings . For , the mixing is allowed to be maximal. We also comment on the magnitudes and correlations between CP-violating angles coming from electric dipole moments. We supplement the analytical considerations by detailed numerical calculations. Received: 6 September 2001 / Revised version: 30 October 2001 / Published online: 7 December 2001     

Momentum-transfer scattering cross section and the Aharonov-Bohm effect on a toroidal solenoid

The quantum-mechanical Aharonov-Bohm effect in the diffraction of charged particles by a toroidal solenoid containing a magnetic field is investigated. The total and differential elastic scattering cross sections depend on the magnetic flux inside the solenoid, even in the presence of a “black” ring-shaped screen which prevents charged particles from entering the region where the magnetic field is localized. Relations describing the momentum-transfer cross section for the elastic scattering of charged particles by a toroidal solenoid are obtained in the eikonal approximation and in a unitary model of scattering with a sharp jump in the partial amplitudes. The momentum-transfer scattering cross section is proportional to the average transfer of the longitudinal momentum of the scattered particle and can be expressed in terms of a force operator. It is shown that in the absence of a screen the momentum-transfer scattering cross section of toroidal solenoid is indeed determined only by the part of the incident beam that intersects the inner region of the toroidal solenoid, where the magnetic field intensity and, therefore, the Lorentz force are nonzero. At the same time, the momentum-transfer cross section for the scattering of charged particles by a toroidal solenoid covered by a “black” ring-shaped screen does not depend on the magnetic flux inside the solenoid and is identical to the momentum-transfer cross section for diffraction by the same screen. The contribution from scattering by an opening in the screen, which depends on the magnetic flux, is completely compensated by the contribution of the interference of the scattering amplitudes of the opening and the “black” screen.     

Survival of charged ρ condensation at high temperature and density

The charged vector ρ mesons in the presence of external magnetic fields at finite temperature T and chemical potential μ have been investigated in the framework of the Nambu-Jona-Lasinio model.We compute the masses of charged ρ mesons numerically as a function of the magnetic field for different values of temperature and chemical potential.The self-energy of the ρ meson contains the quark-loop contribution,i.e.the leading order contribution in 1/N_C expansion.The charged ρ meson mass decreases with the magnetic field and drops to zero at a critical magnetic field eB_c,which indicates that the charged vector meson condensation,i.e.the electromagnetic superconductor can be induced above the critical magnetic field.Surprisingly,it is found that the charged ρ condensation can even survive at high temperature and density.At zero temperature,the critical magnetic field just increases slightly with the chemical potential,which indicates that charged ρ condensation might occur inside compact stars.At zero density,in the temperature range 0.2 — 0.5 GeV,the critical magnetic field for charged ρ condensation is in the range of 0.2 — 0.6 GeV~2,which indicates that a high temperature electromagnetic superconductor might be created at LHC.