15,476 research outputs found
Arbitrary distribution and nonlinear modal interaction in coupled nanomechanical resonators
We propose a general one-dimensional {\em continuous} formulation to analyze
the vibrational modes of antenna-like nanomechanical resonators consisting of
two symmetric arrays of cantilevers affixed to a central nano-beam. The
cantilever arrays can have arbitrary density and length profile along the beam.
We obtain the secular equation that allows for the determination of their
frequency spectrum and illustrate the results on the particular examples of
structures with constant or alternating cantilever length profiles. We show
that our analytical results capture the vibration spectrum of such resonators
and elucidate key relationships that could prove advantageous for experimental
device performance. Furthermore, using a perturbative approach to treat the
nonlinear and dissipative dynamics of driven structures, we analyze the
anharmonic coupling between two specific widely spaced modes of the
coupled-element device, with direct application to experiments.Comment: 8 pages, 5 figures, additional info can be found at
http://nano.bu.ed
Multiplicity fluctuations in heavy-ion collisions using canonical and grand-canonical ensemble
We report the higher order cumulants and their ratios for baryon, charge and
strangeness multiplicity in canonical and grand-canonical ensembles in ideal
thermal model including all the resonances. When the number of conserved quanta
is small, an explicit treatment of these conserved charges is required, which
leads to a canonical description of the system and the fluctuations are
significantly different from the grand canonical ensemble. Cumulant ratios of
total charge and net-charge multiplicity as a function of collision energies
are also compared in grand canonical ensemble.Comment: 7 pages, 5 Figs, Published versio
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