999 research outputs found
Faraday instability in a two-component Bose Einstein condensate
Motivated by recent experiments on Faraday waves in Bose Einstein condensates
(BEC) we investigate the dynamics of two component cigar shaped BEC subject to
periodic modulation of the strength of the transverse confinement. It is shown
that two coupled Mathieu equations govern the dynamics of the system. We found
that the two component BEC in a phase mixed state is relatively more unstable
towards pattern formation than the phase segregated state.Comment: 6 pages, 4 figure
Critical phenomena: 150 years since Cagniard de la Tour
Critical phenomena were discovered by Cagniard de la Tour in 1822, who died
150 years ago. In order to mark this anniversary, the context and the early
history of his discovery is reviewed. We then follow with a brief sketch of the
history of critical phenomena, indicating the main lines of development until
the present date.
Os fen\'omenos cr\'{\i}ticos foram descobertos pelo Cagniard de la Tour em
Paris em 1822. Para comemorar os 150 anos da sua morte, o contexto e a
hist\'oria initial da sua descoberta \'e contada. Conseguimos com uma
descri\c{c}\~ao breve da hist\'oria dos fen\'emenos cr\'{\i}ticos, indicando as
linhas principais do desenvolvimento at\'e o presente.Comment: Latex2e, 8 pp, 3 eps figures include
A Weakly Nonlinear Analysis of Impulsively-Forced Faraday Waves
Parametrically-excited surface waves, forced by a periodic sequence of
delta-function impulses, are considered within the framework of the
Zhang-Vi\~nals model (J. Fluid Mech. 1997). The exact impulsive-forcing
results, in the linear and weakly nonlinear regimes, are compared with
numerical results for sinusoidal and multifrequency forcing. We find
surprisingly good agreement between impulsive forcing results and those
obtained using a two-term truncated Fourier series representation of the
impulsive forcing function. As noted previously by Bechhoefer and Johnson (Am.
J. Phys. 1996), in the case of two equally-spaced impulses per period there are
only subharmonic modes of instability. The familiar situation of alternating
subharmonic and harmonic resonance tongues emerges for unequally-spaced
impulses. We extend the linear analysis for two impulses per period to the
weakly nonlinear regime for one-dimensional waves. Specifically, we derive an
analytic expression for the cubic Landau coefficient in the bifurcation
equation as a function of the dimensionless fluid parameters and spacing
between the two impulses. As the capillary parameter is varied, one finds a
parameter region of wave amplitude suppression, which is due to a familiar 1:2
spatio-temporal resonance between the subharmonic mode of instability and a
damped harmonic mode. This resonance occurs for impulsive forcing even when
harmonic resonance tongues are absent from the neutral stability curve. The
strength of this resonance feature can be tuned by varying the spacing between
the impulses. This finding is interpreted in terms of a recent symmetry-based
analysis of multifrequency forced Faraday waves by Porter, Topaz and Silber
(Phys. Rev. Lett. 2004, Phys. Rev. E 2004).Comment: 13 pages, 10 figures, submitted to Physical Review
Behavior of self-propelled acetone droplets in a Leidenfrost state on liquid substrates
It is demonstrated that non-coalescent droplets of acetone can be formed on
liquid substrates. The fluid flows around and in an acetone droplet hovering on
water are recorded to shed light on the mechanisms which might lead to
non-coalescence. For sufficiently low impact velocities, droplets undergo a
damped oscillation on the surface of the liquid substrate but at higher
velocities clean bounce-off occurs. Comparisons of experimentally observed
static configurations of floating droplets to predictions from a theoretical
model for a small non-wetting rigid sphere resting on a liquid substrate are
made and a tentative strategy for determining the thickness of the vapor layer
under a small droplet on a liquid is proposed. This strategy is based on the
notion of effective surface tension. The droplets show self-propulsion in
straight line trajectories in a manner which can be ascribed to a Marangoni
effect. Surprisingly, self-propelled droplets can become immersed beneath the
undisturbed water surface. This phenomenon is reasoned to be drag-inducing and
might provide a basis for refining observations in previous work
Ripples in Tapped or Blown Powder
We observe ripples forming on the surface of a granular powder in a container
submitted from below to a series of brief and distinct shocks. After a few
taps, the pattern turns out to be stable against any further shock of the same
amplitude. We find experimentally that the characteristic wavelength of the
pattern is proportional to the amplitude of the shocks. Starting from
consideration involving Darcy's law for air flow through the porous granulate
and avalanche properties, we build up a semi-quantitative model which fits
satisfactorily the set of experimental observations as well as a couple of
additional experiments.Comment: 7 pages, four postscript figures, submitted PRL 11/19/9
Signature of elasticity in the Faraday instability
We investigate the onset of the Faraday instability in a vertically vibrated
wormlike micelle solution. In this strongly viscoelastic fluid, the critical
acceleration and wavenumber are shown to present oscillations as a function of
driving frequency and fluid height. This effect, unseen neither in simple
fluids nor in previous experiments on polymeric fluids, is interpreted in terms
of standing elastic waves between the disturbed surface and the container
bottom. It is shown that the model of S. Kumar [Phys. Rev. E, {\bf 65}, 026305
(2002)] for a viscoelastic fluid accounts qualitatively for our experimental
observations. Explanations for quantitative discrepancies are proposed, such as
the influence of the nonlinear rheological behaviour of this complex fluid.Comment: 4 pages, 4 figure
Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability
Secondary instabilities of Faraday waves show three regimes: (1) As seen
previously, low-viscosity (nu) fluids destabilize first into squares. At higher
driving accelerations a, squares show low-frequency modulations corresponding
to the motion of phase defects, while theory predicts a stationary transverse
amplitude modulation (TAM). (2) High-nu fluids destabilize first to stripes.
Stripes then show an oscillatory TAM whose frequency is incommensurate with the
driving frequency. At higher a, the TAM undergoes a phase instability. At still
higher a, edge dislocations form and fluid droplets are ejected. (3)
Intermediate-nu fluids show a complex coexistence of squares and stripes, as
well as stationary and oscillatory TAM instabilities of the stripes.Comment: REVTEX, with 3 separate uuencoded figures, to appear in Europhys.
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Capillary wave turbulence on a spherical fluid surface in low gravity
We report the observation of capillary wave turbulence on the surface of a
fluid layer in a low-gravity environment. In such conditions, the fluid covers
all the internal surface of the spherical container which is submitted to
random forcing. The surface wave amplitude displays power-law spectrum over two
decades in frequency, corresponding to wavelength from to a few . This
spectrum is found in roughly good agreement with wave turbulence theory. Such a
large scale observation without gravity waves has never been reached during
ground experiments. When the forcing is periodic, two-dimensional spherical
patterns are observed on the fluid surface such as subharmonic stripes or
hexagons with wavelength satisfying the capillary wave dispersion relation
Formation and transportation of sand-heap in an inclined and vertically vibrated container
We report the experimental findings of formation and motion of heap in
granular materials in an inclined and vertically vibrated container. We show
experimentally how the transport velocity of heap up container is related to
the driving acceleration as well as the driving frequency of exciter. An
analogous experiment was performed with a heap-shaped Plexiglas block. We
propose that cohesion force resulted from pressure gradient in ambient gas
plays a crucial role in enhancing and maintaining a heap, and ratchet effect
causes the movement of the heap. An equation which governs the transport
velocity of the heap is presented.Comment: 9 pages, 5 figures, submitted to PR
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