17 research outputs found
Comment on "a Generalized Langevin Equation for 1/Æ Noise"
Wetensch. publicatieFaculteit der Wiskunde en Natuurwetenschappe
Long-Ranged Correlations in Sheared Fluids
The presence of long-ranged correlations in a fluid undergoing uniform shear
flow is investigated. An exact relation between the density autocorrelation
function and the density-mometum correlation function implies that the former
must decay more rapidly than , in contrast to predictions of simple mode
coupling theory. Analytic and numerical evaluation of a non-perturbative
mode-coupling model confirms a crossover from behavior at ''small''
to a stronger asymptotic power-law decay. The characteristic length scale is
where is the sound damping
constant and is the shear rate.Comment: 15 pages, 2 figures. Submitted to PR
Effect of boundaries on the force distributions in granular media
The effect of boundaries on the force distributions in granular media is
illustrated by simulations of 2D packings of frictionless, Hertzian spheres. To
elucidate discrepancies between experimental observations and theoretical
predictions, we distinguish between the weight distribution {\cal P} (w)
measured in experiments and analyzed in the q-model, and the distribution of
interparticle forces P(f). The latter one is robust, while {\cal P}(w) can be
obtained once the local packing geometry and P(f) are known. By manipulating
the (boundary) geometry, we show that {\cal P}(w) can be varied drastically.Comment: 4 pages, 4 figure
Noise sensitivity of sub- and supercritically bifurcating patterns with group velocities close to the convective-absolute instability
The influence of small additive noise on structure formation near a forwards
and near an inverted bifurcation as described by a cubic and quintic Ginzburg
Landau amplitude equation, respectively, is studied numerically for group
velocities in the vicinity of the convective-absolute instability where the
deterministic front dynamics would empty the system.Comment: 16 pages, 7 Postscript figure
Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders
We study multiplicity of the supercritical traveling front solutions for
scalar reaction-diffusion equations in infinite cylinders which invade a
linearly unstable equilibrium. These equations are known to possess traveling
wave solutions connecting an unstable equilibrium to the closest stable
equilibrium for all speeds exceeding a critical value. We show that these are,
in fact, the only traveling front solutions in the considered problems for
sufficiently large speeds. In addition, we show that other traveling fronts
connecting to the unstable equilibrium may exist in a certain range of the wave
speed. These results are obtained with the help of a variational
characterization of such solutions
Non-Linear Hydrodynamic Fluctuation Theory for a Charged Two-Component Fluid in Equilibrium
Non-Linear Hydrodynamic Fluctuation Theory for a Charged Two-Component Fluid in Equilibrium
Wetensch. publicatieFaculteit der Wiskunde en Natuurwetenschappe