1,118 research outputs found
Nonstationary driven oscillations of a magnetic cavity
The problem of transition to the steady state of driven oscillations in a magnetic cavity in a cold resistive plasma is addressed. The foot point driving polarized in the inhomogeneous direction is considered, and it is assumed that the cavity length in the direction of the equilibrium magnetic field is much larger than the cavity width in the inhomogeneous direction. The latter assumption enables one to neglect the variation of the magnetic pressure in the inhomogeneous direction, which strongly simplifies the analysis. The explicit solution describing the nonstationary behavior of the magnetic pressure and the velocity is obtained. This solution is used to study the properties of the transition to the steady state of oscillation. The main conclusion is that, in general, there are two different characteristic transitional times. The first time is inversely proportional to the decrement of the global mode. It characterizes the transition to the steady state of the global motion, which is the coherent oscillation of the cavity in the inhomogeneous direction. The second time is the largest of the two times, the first transitional time and the phase-mixing time, which is proportional to the magnetic Reynolds number in 1/3 power. It characterizes the transition to the steady state of the local motion, which is oscillations at the local Alfvén frequencies, and the saturation of the energy damping rate. An example from solar physics shows that, in applications, the second transitional time can be much larger than the first one
Slow solitary waves in multi-layered magnetic structures
The propagation of slow sausage surface waves in a multi-layered magnetic configuration is considered. The magnetic configuration consists of a central magnetic slab sandwiched between two identical magnetic slabs (with equilibrium quantities different from those in the central slab) which in turn are embedded between two identical semi-infinite regions. The dispersion equation is obtained in the linear approximation. The nonlinear governing equation describing waves with a characteristic wavelength along the central slab much larger than the slab thickness is derived. Solitary wave solutions to this equation are obtained in the case where these solutions deviate only slightly from the algebraic soliton of the Benjamin-Ono equation
Optimization of single-phase multilevel inverter voltage quality using time domain problem formulation
The multilevel inverter optimal voltage quality problem is formulated in time domain in
order to account for all switching harmonics.
The numerical solutions establish theoretical
voltage quality lower bounds for a singlephase
multilevel inverter achieved for
staircase modulation for entire voltage
dynamic range and different voltage levels
count
Optimization of single-phase multilevel inverter voltage quality using time domain problem formulation
The multilevel inverter optimal voltage quality problem is formulated in time domain in
order to account for all switching harmonics.
The numerical solutions establish theoretical
voltage quality lower bounds for a singlephase
multilevel inverter achieved for
staircase modulation for entire voltage
dynamic range and different voltage levels
count
The structure of the hydrodynamic plasma flow near the heliopause stagnation point
The plasma flow in the vicinity of the heliopause stagnation point in the presence of the H atom flow is studied. The plasma at both sides of the heliopause is considered to be a single fluid. The back reaction of the plasma flow on the H atom flow is neglected, and the density, temperature and velocity of the H atom flow are taken to be constant. The solution describing the plasma flow is obtained in the form of power series expansions with respect to the radial distance from the symmetry axis. The main conclusion made on the basis of the obtained solution is that the heliopause is not the surface of discontinuity anymore. Rather, it is the surface separating the flows of the solar wind and interstellar medium with all plasma parameters continuous at this surface
Indirect coupling between spins in semiconductor quantum dots
The optically induced indirect exchange interaction between spins in two
quantum dots is investigated theoretically. We present a microscopic
formulation of the interaction between the localized spin and the itinerant
carriers including the effects of correlation, using a set of canonical
transformations. Correlation effects are found to be of comparable magnitude as
the direct exchange. We give quantitative results for realistic quantum dot
geometries and find the largest couplings for one dimensional systems.Comment: 4 pages, 3 figure
Absolute and convective instabilities of parallel propagating circularly polarized Alfven waves: Beat instability
Ruderman and Simpson [Phys. Plasmas 11, 4178 (2004)] studied the absolute and convective decay instabilities of parallel propagating circularly polarized Alfven waves in plasmas where the sound speed c(S) is smaller than the Alfven speed upsilon(A). We extend their analysis for the beat instability which occurs in plasmas with c(S)>upsilon(A). We assume that the dimensionless amplitude of the circularly polarized Alfven wave (pump wave), a, is small. Applying Briggs' method we study the problem analytically using expansions in power series with respect to a. It is shown that the pump wave is absolutely unstable in a reference frame moving with the velocity U with respect to the rest plasma if U-lU-r, the instability is convective. The signaling problem is studied in a reference frame where the pump wave is convectively unstable. It is shown that the spatially amplifying waves exist only when the signaling frequency is in two narrow symmetric frequency bands with the widths of the order of a(3). These results enable us to extend for the case when c(S)>upsilon(A) the conclusions, previously made for the case when c(S)<upsilon(A), that circularly polarized Alfven waves propagating in the solar wind are convectively unstable in a reference frame of any spacecraft moving with the velocity not exceeding a few tens of km/s in the solar reference frame. The characteristic scale of spatial amplification for these waves exceeds 1 a.u
Indirect RKKY interaction in any dimensionality
We present an analytical method which enables one to find the exact spatial
dependence of the indirect RKKY interaction between the localized moments via
the conduction electrons for the arbitrary dimensionality . The
corresponding momentum dependence of the Lindhard function is exactly found for
any as well. Demonstrating the capability of the method we find the RKKY
interaction in a system of metallic layers weakly hybridized to each other.
Along with usual in-plane oscillations the RKKY interaction has the
sign-reversal character in a direction perpendicular to layers, thus favoring
the antiferromagnetic type of layers' stacking.Comment: 3 pages, REVTEX, accepted to Phys.Rev.
Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions
The Mermin-Wagner theorem is strengthened so as to rule out magnetic
long-range order at T>0 in one- or two-dimensional Heisenberg and XY systems
with long-range interactions decreasing as R^{-alpha} with a sufficiently large
exponent alpha. For oscillatory interactions, ferromagnetic long-range order at
T>0 is ruled out if alpha >= 1 (D=1) or alpha > 5/2 (D=2). For systems with
monotonically decreasing interactions ferro- or antiferromagnetic long-range
order at T>0 is ruled out if alpha >= 2D.Comment: RevTeX, 4 pages. Further (p)reprints available from
http://www.mpi-halle.de/~theory ; v2: revised versio
Lepton Jets in (Supersymmetric) Electroweak Processes
We consider some of the recent proposals in which weak-scale dark matter is
accompanied by a GeV scale dark sector that could produce spectacular
lepton-rich events at the LHC. Since much of the collider phenomenology is only
weakly model dependent it is possible to arrive at generic predictions for the
discovery potential of future experimental searches. We concentrate on the
production of dark states through bosons and electroweak-inos at the
Tevatron or LHC, which are the cleanest channels for probing the dark sector.
We properly take into account the effects of dark radiation and dark cascades
on the formation of lepton jets. Finally, we present a concrete definition of a
lepton jet and suggest several approaches for inclusive experimental searches.Comment: 23 pages, 13 figures, published version, added section 3.3 expanding
on lepton jet's morpholog
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