24,546 research outputs found
Low density approach to the Kondo-lattice model
We propose a new approach to the (ferromagnetic) Kondo-lattice model in the
low density region, where the model is thought to give a reasonable frame work
for manganites with perovskite structure exhibiting the "colossal
magnetoresistance" -effect. Results for the temperature- dependent
quasiparticle density of states are presented. Typical features can be
interpreted in terms of elementary spin-exchange processes between itinerant
conduction electrons and localized moments. The approach is exact in the zero
bandwidth limit for all temperatures and at T=0 for arbitrary bandwidths,
fulfills exact high-energy expansions and reproduces correctly second order
perturbation theory in the exchange coupling.Comment: 11 pages, 7 figures, accepted by PR
Ferromagnetism within the periodic Anderson model: A new approximation scheme
We introduce a new approach to the periodic Anderson model (PAM) that allows
a detailed investigation of the magnetic properties in the Kondo as well as the
intermediate valence regime. Our method is based on an exact mapping of the PAM
onto an effective medium strong-coupling Hubbard model. For the latter, the
so-called spectral density approach (SDA) is rather well motivated since it is
based on exact results in the strong coupling limit. Besides the T=0 phase
diagram, magnetization curves and Curie temperatures are presented and
discussed with help of temperature-dependent quasiparticle densities of state.
In the intermediate valence regime, the hybridization gap plays a major role in
determining the magnetic behaviour. Furthermore, our results indicate that
ferromagnetism in this parameter regime is not induced by an effective
spin-spin interaction between the localized levels mediated by conduction
electrons as it is the case in the Kondo regime. The magnetic ordering is
rather a single band effect within an effective f-band.Comment: 13 pages, 16 figures, Phys. Stat. Sol. in pres
Time Delay Induced Death in Coupled Limit Cycle Oscillators
We investigate the dynamical behaviour of two limit cycle oscillators that
interact with each other via time delayed coupling and find that time delay can
lead to amplitude death of the oscillators even if they have the same
frequency. We demonstrate that this novel regime of amplitude "death" also
exists for large collections of coupled identical oscillators and provide
quantitative measures of this death region in the parameter space of coupling
strength and time delay. Its implication for certain biological and physical
applications is also pointed out.Comment: 4 aps formatted revtex pages; 3 figures; to be published in Phys.
Rev. Let
Numerical Toy-Model Calculation of the Nucleon Spin Autocorrelation Function in a Supernova Core
We develop a simple model for the evolution of a nucleon spin in a hot and
dense nuclear medium. A given nucleon is limited to one-dimensional motion in a
distribution of external, spin-dependent scattering potentials. We calculate
the nucleon spin autocorrelation function numerically for a variety of
potential densities and distributions which are meant to bracket realistic
conditions in a supernova core. For all plausible configurations the width of
the spin-density structure function is found to be less than the temperature.
This is in contrast with a naive perturbative calculation based on the one-pion
exchange potential which overestimates the width and thus suggests a large
suppression of the neutrino opacities by nucleon spin fluctuations. Our results
suggest that it may be justified to neglect the collisional broadening of the
spin-density structure function for the purpose of estimating the neutrino
opacities in the deep inner core of a supernova. On the other hand, we find no
indication that processes such as axion or neutrino pair emission, which depend
on nucleon spin fluctuations, are substantially suppressed beyond the
multiple-scattering effect already discussed in the literature. Aside from
these practical conclusions, our model reveals a number of interesting and
unexpected insights. For example, the spin-relaxation rate saturates with
increasing potential strength only if bound states are not allowed to form by
including a repulsive core. There is no saturation with increasing density of
scattering potentials until localized eigenstates of energy begin to form.Comment: 14 latex pages in two-column format, 15 postscript figures included,
uses revtex.sty and epsf.sty. Submitted to Physical Review
Contact stress analysis of spiral bevel gears using nonlinear finite element static analysis
A procedure is presented for performing three-dimensional stress analysis of spiral bevel gears in mesh using the finite element method. The procedure involves generating a finite element model by solving equations that identify tooth surface coordinates. Coordinate transformations are used to orientate the gear and pinion for gear meshing. Contact boundary conditions are simulated with gap elements. A solution technique for correct orientation of the gap elements is given. Example models and results are presented
On some singularities of the correlation functions that determine neutrino opacities
Certain perturbation graphs in the calculation of the effects of the medium
on neutrino scattering in supernova matter have a nonintegrable singularity in
a physical region. A number of papers have addressed the apparent pathology
through an ansatz that invokes higher order (rescattering) effects. Taking the
Gamow-Teller terms as an example, we display an expression for the spin-spin
correlation function that determines the cross-sections. It is clear from the
form that there are no pathologies in the order by order perturbation
expansion. Explicit formulae are given for a simple case, leading to an answer
that is very different from one given by other authors.Comment: 8 page
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