432 research outputs found
Slow Quenches Produce Fuzzy, Transient Vortices
We examine the Zurek scenario for the production of vortices in quenches of
liquid in the light of recent experiments. Extending our previous
results to later times, we argue that short wavelength thermal fluctuations
make vortices poorly defined until after the transition has occurred. Further,
if and when vortices appear, it is plausible that that they will decay faster
than anticipated from turbulence experiments, irrespective of quench rates.Comment: 4 pages, Revtex file, no figures Apart from a more appropriate title,
this paper differs from its predecessor by including temperature, as well as
pressure, quenche
A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity
In this paper, we apply the thermodynamic framework recently put into place
by Rajagopal and co-workers, to develop rate-type models for viscoelastic
fluids which do not possess instantaneous elasticity. To illustrate the
capabilities of such models we make a specific choice for the specific
Helmholtz potential and the rate of dissipation and consider the creep and
stress relaxation response associated with the model. Given specific forms for
the Helmholtz potential and the rate of dissipation, the rate of dissipation is
maximized with the constraint that the difference between the stress power and
the rate of change of Helmholtz potential is equal to the rate of dissipation
and any other constraint that may be applicable such as incompressibility. We
show that the model that is developed exhibits fluid-like characteristics and
is incapable of instantaneous elastic response. It also includes Maxwell-like
and Kelvin-Voigt-like viscoelastic materials (when certain material moduli take
special values).Comment: 18 pages, 5 figure
Electromagnetic response of a static vortex line in a type-II superconductor : a microscopic study
The electromagnetic response of a pinned Abrikosov fluxoid is examined in the
framework of the Bogoliubov-de Gennes formalism. The matrix elements and the
selection rules for both the single photon (emission - absorption) and two
photon (Raman scattering) processes are obtained. The results reveal striking
asymmetries: light absorption by quasiparticle pair creation or single
quasiparticle scattering can occur only if the handedness of the incident
radiation is opposite to that of the vortex core states. We show how these
effects will lead to nonreciprocal circular birefringence, and also predict
structure in the frequency dependence of conductivity and in the differential
cross section of the Raman scattering.Comment: 14 pages (RevTex
Modelling of street canyon geometries in CFD - A comparison with experimental results
Street canyon design lias a large effect on the microclimate conditions at street level. Yet modeling the outdoor urban environment is a significant challenge and validation with experimental flows is crucial to these efforts. A CFD model was constructed to simulate flow passing several street canyon geometries and the results were compared with those obtained from a laboratory study. The turbulence model chosen was the Re-Normalization Group (RNG) k-s model which we had found to be a suitable steady state turbulence model for this application. Different inlet boundary conditions were applied and made a comparison between a uniform velocity profile, a velocity profile characterized by a mathematic function and a velocity profile by importing measured velocities directly. The velocity profile characterized by a mathematic function was found to be slightly superior to the other two choices. The velocity fields and turbulence information of the CFD model were compared qualitatively and quantitatively with experimental results. The laboratory7 experiments were carried out in a water channel and measurements of velocity field within and above models of street canyons were obtamed through Particle Image Velocimetry (PIV). Velocity contours were found to be quite consistent inside the street canyon except the near wall regions. Turbulent level predicted by CFD was less reliable than velocity, but it was still qualitatively consistent in most regions inside street canyon. However, the turbulent level is predicted inaccurately at roof level
Density of kinks just after a quench in an overdamped system
A quench in an overdamped one dimensional model is studied by
analytical and numerical methods. For an infinite system or a finite system
with free boundary conditions, the density of kinks after the transition is
proportional to the eighth root of the rate of the quench. For a system with
periodic boundary conditions, it is proportional to the fourth root of the
rate. The critical exponent predicted in Zurek scenario is put in question.Comment: 4 pages in RevTex + 1 .ps fil
Dynamics of defect formation
A dynamic symmetry-breaking transition with noise and inertia is analyzed.
Exact solution of the linearized equation that describes the critical region
allows precise calculation (exponent and prefactor) of the number of defects
produced as a function of the rate of increase of the critical parameter. The
procedure is valid in both the overdamped and underdamped limits. In one space
dimension, we perform quantitative comparison with numerical simulations of the
nonlinear nonautonomous stochastic partial differential equation and report on
signatures of underdamped dynamics.Comment: 4 pages, LaTeX, 4 figures. Submitted to Physical Revie
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