30 research outputs found
Low-coverage heteroepitaxial growth with interfacial mixing
We investigate the influence of intermixing on heteroepitaxial growth
dynamics, using a two-dimensional point island model, expected to be a good
approximation in the early stages of epitaxy. In this model, which we explore
both analytically and numerically, every deposited B atom diffuses on the
surface with diffusion constant , and can exchange with any A atom
of the substrate at constant rate. There is no exchange back, and emerging
atoms diffuse on the surface with diffusion constant . When any two
diffusing atoms meet, they nucleate a point island. The islands neither diffuse
nor break, and grow by capturing other diffusing atoms. The model leads to an
island density governed by the diffusion of one of the species at low
temperature, and by the diffusion of the other at high temperature. We show
that these limit behaviors, as well as intermediate ones, all belong to the
same universality class, described by a scaling law. We also show that the
island-size distribution is self-similarly described by a dynamic scaling law
in the limits where only one diffusion constant is relevant to the dynamics,
and that this law is affected when both and play a
role.Comment: 16 pages, 6 figure
Intermediate Range Structure in Ion-Conducting Tellurite Glasses
We present ac conductivity spectra of tellurite glasses at several
temperatures. For the first time, we report oscillatory modulations at
frequencies around MHz. This effect is more pronounced the lower the
temperature, and washes out when approaching the glass transition temperature
. We show, by using a minimal model, how this modulation may be attributed
to the fractal structure of the glass at intermediate mesoscopic length scales
Single-file diffusion on self-similar substrates
We study the single file diffusion problem on a one-dimensional lattice with
a self-similar distribution of hopping rates. We find that the time dependence
of the mean-square displacement of both a tagged particle and the center of
mass of the system present anomalous power laws modulated by logarithmic
periodic oscillations. The anomalous exponent of a tagged particle is one half
of the exponent of the center of mass, and always smaller than 1/4. Using
heuristic arguments, the exponents and the periods of oscillation are
analytically obtained and confirmed by Monte Carlo simulations.Comment: 12 pages, 6 figure
Anisotropic anomalous diffusion modulated by log-periodic oscillations
We introduce finite ramified self-affine substrates in two dimensions with a
set of appropriate hopping rates between nearest-neighbor sites, where the
diffusion of a single random walk presents an anomalous {\it anisotropic}
behavior modulated by log-periodic oscillations. The anisotropy is revealed by
two different random walk exponents, and , in the {\it x} and
{\it y} direction, respectively. The values of these exponents, as well as the
period of the oscillation, are analytically obtained and confirmed by Monte
Carlo simulations.Comment: 7 pages, 7 figure
Putting hydrodynamic interactions to work: tagged particle separation
Separation of magnetically tagged cells is performed by attaching markers to
a subset of cells in suspension and applying fields to pull from them in a
variety of ways. The magnetic force is proportional to the field gradient, and
the hydrodynamic interactions play only a passive, adverse role. Here we
propose using a homogeneous rotating magnetic field only to make tagged
particles rotate, and then performing the actual separation by means of
hydrodynamic interactions, which thus play an active role. The method, which we
explore here theoretically and by means of numerical simulations, lends itself
naturally to sorting on large scales.Comment: Version accepted for publication - Europhysics Letter
Log-periodic modulation in one-dimensional random walks
We have studied the diffusion of a single particle on a one-dimensional
lattice. It is shown that, for a self-similar distribution of hopping rates,
the time dependence of the mean-square displacement follows an anomalous power
law modulated by logarithmic periodic oscillations. The origin of this
modulation is traced to the dependence on the length of the diffusion
coefficient. Both the random walk exponent and the period of the modulation are
analytically calculated and confirmed by Monte Carlo simulations.Comment: 6 pages, 7 figure
Dynamic fluctuations of elastic lines in random environments
We study the fluctuations of the two-time dependent global roughness of
finite size elastic lines in a quenched random environment. We propose a
scaling form for the roughness distribution function that accounts for the
two-time, temperature, and size dependence. At high temperature and in the
final stationary regime before saturation the fluctuations are as the ones of
the Edwards-Wilkinson interface evolving from typical initial conditions. We
analyze the variation of the scaling function within the aging regime and with
the distance from saturation. We speculate on the relevance of our results to
describe the fluctuations of other non-equilibrium systems such as models at
criticality.Comment: 7 pages, 3 figure