6,258 research outputs found
Stochastic Resonance: influence of a noise spectrum
Here, in order to study \textit{stochastic resonance} (SR) in a double-well
potential when the noise source has a spectral density of the form
with varying , we have extended a procedure, introduced
by Kaulakys et al (Phys. Rev. E \textbf{70}, 020101 (2004)). In order to have
an analytical understanding of the results, we have obtained an effective
Markovian approximation, that allows us to make a systematic study of the
effect of such kind of noises on the SR phenomenon. The comparison of numerical
and analytical results shows an excellent qualitative agreement indicating that
the effective Markovian approximation is able to correctly describe the general
trends.Comment: 11 pages, 6 figures, submitted to Euro.Phys.J.
Control of quantum interference in molecular junctions: Understanding the origin of Fano and anti- resonances
We investigate within a coarse-grained model the conditions leading to the
appearance of Fano resonances or anti-resonances in the conductance spectrum of
a generic molecular junction with a side group (T-junction). By introducing a
simple graphical representation (parabolic diagram), we can easily visualize
the relation between the different electronic parameters determining the
regimes where Fano resonances or anti-resonances in the low-energy conductance
spectrum can be expected. The results obtained within the coarse-grained model
are validated using density-functional based quantum transport calculations in
realistic T-shaped molecular junctions.Comment: 5 pages, 5 figure
Renormalization group approach to vibrational energy transfer in protein
Renormalization group method is applied to the study of vibrational energy
transfer in protein molecule. An effective Lagrangian and associated equations
of motion to describe the resonant energy transfer are analyzed in terms of the
first-order perturbative renormalization group theory that has been developed
as a unified tool for global asymptotic analysis. After the elimination of
singular terms associated with the Fermi resonance, amplitude equations to
describe the slow dynamics of vibrational energy transfer are derived, which
recover the result obtained by a technique developed in nonlinear optics [S.J.
Lade, Y.S. Kivshar, Phys. Lett. A 372 (2008) 1077].Comment: 11 page
RF amplification property of the MgO-based magnetic tunnel junction using field-induced ferromagnetic resonance
The radio-frequency (RF) voltage amplification property of a tunnel
magnetoresistance device driven by an RF external-magnetic-field-induced
ferromagnetic resonance was studied. The proposed device consists of a magnetic
tunnel junction (MTJ) and an electrically isolated coplanar waveguide. The
input RF voltage applied to the waveguide can excite the resonant dynamics in
the free layer magnetization, leading to the generation of an output RF voltage
under a DC bias current. The dependences of the RF voltage gain on the static
external magnetic field strength and angle were systematically investigated.
The design principles for the enhancement of the gain factor are also
discussed.Comment: 12 pages, 3 figure
Derivation of Amplitude Equations by Renormalization Group Method
A proper formulation in the perturbative renormalization group method is
presented to deduce amplitude equations. The formulation makes it possible not
only avoiding a serious difficulty in the previous reduction to amplitude
equations by eliminating all of the secular terms but also consistent
derivation of higher-order correction to amplitude equations.Comment: 6 page, revte
Remarks on separating words
The separating words problem asks for the size of the smallest DFA needed to
distinguish between two words of length <= n (by accepting one and rejecting
the other). In this paper we survey what is known and unknown about the
problem, consider some variations, and prove several new results
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