33,111 research outputs found

### State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy

We consider a connection-level model of Internet congestion control,
introduced by Massouli\'{e} and Roberts [Telecommunication Systems 15 (2000)
185--201], that represents the randomly varying number of flows present in a
network. Here, bandwidth is shared fairly among elastic document transfers
according to a weighted $\alpha$-fair bandwidth sharing policy introduced by Mo
and Walrand [IEEE/ACM Transactions on Networking 8 (2000) 556--567] [$\alpha\in
(0,\infty)$]. Assuming Poisson arrivals and exponentially distributed document
sizes, we focus on the heavy traffic regime in which the average load placed on
each resource is approximately equal to its capacity. A fluid model (or
functional law of large numbers approximation) for this stochastic model was
derived and analyzed in a prior work [Ann. Appl. Probab. 14 (2004) 1055--1083]
by two of the authors. Here, we use the long-time behavior of the solutions of
the fluid model established in that paper to derive a property called
multiplicative state space collapse, which, loosely speaking, shows that in
diffusion scale, the flow count process for the stochastic model can be
approximately recovered as a continuous lifting of the workload process.Comment: Published in at http://dx.doi.org/10.1214/08-AAP591 the Annals of
Applied Probability (http://www.imstat.org/aap/) by the Institute of
Mathematical Statistics (http://www.imstat.org

### Modulation of the Curie Temperature in Ferromagnetic/Ferroelectric Hybrid Double Quantum Wells

We propose a ferromagnetic/ferroelectric hybrid double quantum well
structure, and present an investigation of the Curie temperature (Tc)
modulation in this quantum structure. The combined effects of applied electric
fields and spontaneous electric polarization are considered for a system that
consists of a Mn \delta-doped well, a barrier, and a p-type ferroelectric well.
We calculate the change in the envelope functions of carriers at the lowest
energy sub-band, resulting from applied electric fields and switching the
dipole polarization. By reversing the depolarizing field, we can achieve two
different ferromagnetic transition temperatures of the ferromagnetic quantum
well in a fixed applied electric field. The Curie temperature strongly depends
on the position of the Mn \delta-doped layer and the polarization strength of
the ferroelectric well.Comment: 9 pages, 5 figures, to be published in Phys. Rev. B (2006) minor
revision: One of the line types is changed in Fig.

### Triple sign reversal of Hall effect in HgBa_{2}CaCu_{2}O_{6} thin films after heavy-ion irradiations

Triple sign reversal in the mixed-state Hall effect has been observed for the
first time in ion-irradiated HgBa_{2}CaCu_{2}O_{6} thin films. The negative dip
at the third sign reversal is more pronounced for higher fields, which is
opposite to the case of the first sign reversal near T_c in most high-T_c
superconductors. These observations can be explained by a recent prediction in
which the third sign reversal is attributed to the energy derivative of the
density of states and to a temperature-dependent function related to the
superconducting energy gap. These contributions prominently appear in cases
where the mean free path is significantly decreased, such as our case of
ion-irradiated thin films.Comment: 4 pages, 3 eps figures, submitted Phys. Rev. Let

### Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

We report on the cascade of quantum phase transitions exhibited by
tunnel-coupled edge states across a quantum Hall line junction. We identify a
series of quantum critical points between successive strong and weak tunneling
regimes in the zero-bias conductance. Scaling analysis shows that the
conductance near the critical magnetic fields $B_{c}$ is a function of a single
scaling argument $|B-B_{c}|T^{-\kappa}$, where the exponent $\kappa = 0.42$.
This puzzling resemblance to a quantum Hall-insulator transition points to
importance of interedge correlation between the coupled edge states.Comment: 4 pages, 3 figure

### Flux Noise in MgB2 Thin Films

We have performed flux noise and AC-susceptibility measurements on two 400 nm
thick MgB$_2$ films. Both measurement techniques give information about the
vortex dynamics in the sample, and hence the superconducting transition, and
can be linked to each other through the fluctuation-dissipation-theorem. The
transition widths for the two films are 0.3 and 0.8 K, respectively, and the
transitions show a multi step-like behavior in the AC-susceptibility
measurements. The same phenomenon is observed in the flux noise measurements
through a change in the frequency dependence of the spectral density at each
step in the transition. The results are discussed and interpreted in terms of
vortices carrying an arbitrary fraction of a flux quantum as well as in terms
of different macroscopic regions in the films having slightly different
compositions, and hence, different critical temperatures.Comment: 8 pages, 4 figures, conference contribution to "Fluctuations and
Noise", Santa Fe, New mexico 1-4 june 200

### Zero-Bias Anomalies in Narrow Tunnel Junctions in the Quantum Hall Regime

We report on the study of cleaved-edge-overgrown line junctions with a
serendipitously created narrow opening in an otherwise thin, precise line
barrier. Two sets of zero-bias anomalies are observed with an enhanced
conductance for filling factors $\nu > 1$ and a strongly suppressed conductance
for $\nu < 1$. A transition between the two behaviors is found near $\nu
\approx 1$. The zero-bias anomaly (ZBA) line shapes find explanation in
Luttinger liquid models of tunneling between quantum Hall edge states. The ZBA
for $\nu < 1$ occurs from strong backscattering induced by suppression of
quasiparticle tunneling between the edge channels for the $n = 0$ Landau
levels. The ZBA for $\nu > 1$ arises from weak tunneling of quasiparticles
between the $n = 1$ edge channels.Comment: version with edits for clarit

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