22,777 research outputs found
Wide-band current preamplifier for conductance measurements with large input capacitance
A wide-band current preamplifier based on a composite operational amplifier
is proposed. It has been shown that the bandwidth of the preamplifier can be
significantly increased by enhancing the effective open-loop gain of the
composite preamplifier. The described preamplifier with current gain 10 V/A
showed the bandwidth of about 100 kHz with 1 nF input shunt capacitance. The
current noise of the amplifier was measured to be about 46 fA/
at 1 kHz, close to the design noise minimum. The voltage noise was found to be
about 2.9 nV/ at 1 kHz, which is in a good agreement with the
value expected for the operational amplifier used in the input stage. By
analysing the total noise produced by the preamplifier we found the optimal
frequency range suitable for the fast lock-in measurements to be from 1 kHz to
2 kHz. To get the same signal-to-noise ratio, the reported preamplifier
requires roughly 10% of the integration time used in measurements made with a
conventional preamplifier.Comment: 5 pages, 4 figure
Enhanced thermoelectric figure of merit in vertical graphene junctions
In this work, we investigate thermoelectric properties of junctions
consisting of two partially overlapped graphene sheets coupled to each other in
the cross-plane direction. It is shown that because of the weak van-der Waals
interactions between graphene layers, the phonon conductance in these junctions
is strongly reduced, compared to that of single graphene layer structures,
while their electrical performance is weakly affected. By exploiting this
effect, we demonstrate that the thermoelectric figure of merit can reach values
higher than 1 at room temperature in junctions made of gapped graphene
materials, for instance, graphene nanoribbons and graphene nanomeshes. The
dependence of thermoelectric properties on the junction length is also
discussed. This theoretical study hence suggests an efficient way to enhance
thermoelectric efficiency of graphene devices.Comment: 6 pages, 4 figures, submitte
On a problem of Erd\H{o}s and Rothschild on edges in triangles
Erd\H{o}s and Rothschild asked to estimate the maximum number, denoted by
H(N,C), such that every N-vertex graph with at least CN^2 edges, each of which
is contained in at least one triangle, must contain an edge that is in at least
H(N,C) triangles. In particular, Erd\H{o}s asked in 1987 to determine whether
for every C>0 there is \epsilon >0 such that H(N,C) > N^\epsilon, for all
sufficiently large N. We prove that H(N,C) = N^{O(1/log log N)} for every fixed
C < 1/4. This gives a negative answer to the question of Erd\H{o}s, and is best
possible in terms of the range for C, as it is known that every N-vertex graph
with more than (N^2)/4 edges contains an edge that is in at least N/6
triangles.Comment: 8 page
Strong Collapse Turbulence in Quintic Nonlinear Schr\"odinger Equation
We consider the quintic one dimensional nonlinear Schr\"odinger equation with
forcing and both linear and nonlinear dissipation. Quintic nonlinearity results
in multiple collapse events randomly distributed in space and time forming
forced turbulence. Without dissipation each of these collapses produces finite
time singularity but dissipative terms prevents actual formation of
singularity. In statistical steady state of the developed turbulence the
spatial correlation function has a universal form with the correlation length
determined by the modulational instability scale. The amplitude fluctuations at
that scale are nearly-Gaussian while the large amplitude tail of probability
density function (PDF) is strongly non-Gaussian with power-like behavior. The
small amplitude nearly-Gaussian fluctuations seed formation of large collapse
events. The universal spatio-temporal form of these events together with the
PDF for their maximum amplitudes define the power-like tail of PDF for large
amplitude fluctuations, i.e., the intermittency of strong turbulence.Comment: 14 pages, 17 figure
Lorentz invariance violation in top-down scenarios of ultrahigh energy cosmic ray creation
The violation of Lorentz invariance (LI) has been invoked in a number of ways
to explain issues dealing with ultrahigh energy cosmic ray (UHECR) production
and propagation. These treatments, however, have mostly been limited to
examples in the proton-neutron system and photon-electron system. In this paper
we show how a broader violation of Lorentz invariance would allow for a series
of previously forbidden decays to occur, and how that could lead to UHECR
primaries being heavy baryonic states or Higgs bosons.Comment: Replaced with heavily revised (see new Abstract) version accepted by
Phys. Rev. D. 6 page
Monte Carlo simulations of pulse propagation in massive multichannel optical fiber communication systems
We study the combined effect of delayed Raman response and bit pattern
randomness on pulse propagation in massive multichannel optical fiber
communication systems. The propagation is described by a perturbed stochastic
nonlinear Schr\"odinger equation, which takes into account changes in pulse
amplitude and frequency as well as emission of continuous radiation. We perform
extensive numerical simulations with the model, and analyze the dynamics of the
frequency moments, the bit-error-rate, and the mutual distribution of amplitude
and position. The results of our numerical simulations are in good agreement
with theoretical predictions based on the adiabatic perturbation approach.Comment: Submitted to Physical Review E. 8 pages, 5 figure
Numerical study on diverging probability density function of flat-top solitons in an extended Korteweg-de Vries equation
We consider an extended Korteweg-de Vries (eKdV) equation, the usual
Korteweg-de Vries equation with inclusion of an additional cubic nonlinearity.
We investigate the statistical behaviour of flat-top solitary waves described
by an eKdV equation in the presence of weak dissipative disorder in the linear
growth/damping term. With the weak disorder in the system, the amplitude of
solitary wave randomly fluctuates during evolution. We demonstrate numerically
that the probability density function of a solitary wave parameter
which characterizes the soliton amplitude exhibits loglognormal divergence near
the maximum possible value.Comment: 8 pages, 4 figure
transition form factor within Light Front Quark Model
We study the transition form factor of as a
function of the momentum transfer within the light-front quark model
(LFQM). We compare our result with the experimental data by BaBar as well as
other calculations based on the LFQM in the literature. We show that our
predicted form factor fits well with the experimental data, particularly those
at the large region.Comment: 11 pages, 4 figures, accepted for publication in PR
Quantum pump driven fermionic Mach-Zehnder interferometer
We have investigated the characteristics of the currents in a pump-driven
fermionic Mach-Zehnder interferometer. The system is implemented in a conductor
in the quantum Hall regime, with the two interferometer arms enclosing an
Aharonov-Bohm flux . Two quantum point contacts with transparency
modulated periodically in time drive the current and act as beam-splitters. The
current has a flux dependent part as well as a flux independent
part . Both current parts show oscillations as a function of frequency
on the two scales determined by the lengths of the interferometer arms. In the
non-adiabatic, high frequency regime oscillates with a constant
amplitude while the amplitude of the oscillations of increases
linearly with frequency. The flux independent part is insensitive to
temperature while the flux dependent part is exponentially
suppressed with increasing temperature. We also find that for low amplitude,
adiabatic pumping rectification effects are absent for semitransparent
beam-splitters. Inelastic dephasing is introduced by coupling one of the
interferometer arms to a voltage probe. For a long charge relaxation time of
the voltage probe, giving a constant probe potential, and the part
of flowing in the arm connected to the probe are suppressed with
increased coupling to the probe. For a short relaxation time, with the
potential of the probe adjusting instantaneously to give zero time dependent
current at the probe, only is suppressed by the coupling to the
probe.Comment: 10 pages, 4 figure
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