92 research outputs found
Slow crack propagation through a disordered medium: Critical transition and dissipation
We show that the intermittent and self-similar fluctuations displayed by a
slow crack during the propagation in a heterogeneous medium can be
quantitatively described by an extension of a classical statistical model for
fracture. The model yields the correct dynamical and morphological scaling, and
allows to demonstrate that the scale invariance originates from the presence of
a non-equilibrium, reversible, critical transition which in the presence of
dissipation gives rise to self organized critical behaviour.Comment: 16 pages, 4 figures, to be published on EPL
(http://epljournal.edpsciences.org/
Dynamic hysteresis in Finemet thin films
We performed a series of dynamic hysteresis measurements on three series of
Finemet films with composition FeCuNbSiB, using
both the longitudinal magneto-optical Kerr effect (MOKE) and the inductive
fluxometric method. The MOKE dynamic hysteresis loops show a more marked
variability with the frequency than the inductive ones, while both measurements
show a similar dependence on the square root of frequency. We analyze these
results in the frame of a simple domain wall depinning model, which accounts
for the general behavior of the data.Comment: 3 pages, 3 figure
Is demagnetization an efficient optimization method?
Demagnetization, commonly employed to study ferromagnets, has been proposed
as the basis for an optimization tool, a method to find the ground state of a
disordered system. Here we present a detailed comparison between the ground
state and the demagnetized state in the random field Ising model, combing exact
results in and numerical solutions in . We show that there are
important differences between the two states that persist in the thermodynamic
limit and thus conclude that AC demagnetization is not an efficient
optimization method.Comment: 2 pages, 1 figur
Investigation of scaling properties of hysteresis in Finemet thin films
We study the behavior of hysteresis loops in Finemet
FeCuNbSiB thin films by using a fluxometric setup
based on a couple of well compensated pickup coils. The presence of scaling
laws of the hysteresis area is investigated as a function of the amplitude and
frequency of the applied field, considering sample thickness from about 20 nm
to 5 m. We do not observe any scaling predicted by theoretical models,
while dynamic loops show a logarithmic dependence on the frequency.Comment: 2 pages, 2 figure
Preferential attachment in the growth of social networks: the case of Wikipedia
We present an analysis of the statistical properties and growth of the free
on-line encyclopedia Wikipedia. By describing topics by vertices and hyperlinks
between them as edges, we can represent this encyclopedia as a directed graph.
The topological properties of this graph are in close analogy with that of the
World Wide Web, despite the very different growth mechanism. In particular we
measure a scale--invariant distribution of the in-- and out-- degree and we are
able to reproduce these features by means of a simple statistical model. As a
major consequence, Wikipedia growth can be described by local rules such as the
preferential attachment mechanism, though users can act globally on the
network.Comment: 4 pages, 4 figures, revte
Solitons in the noisy Burgers equation
We investigate numerically the coupled diffusion-advective type field
equations originating from the canonical phase space approach to the noisy
Burgers equation or the equivalent Kardar-Parisi-Zhang equation in one spatial
dimension. The equations support stable right hand and left hand solitons and
in the low viscosity limit a long-lived soliton pair excitation. We find that
two identical pair excitations scatter transparently subject to a size
dependent phase shift and that identical solitons scatter on a static soliton
transparently without a phase shift. The soliton pair excitation and the
scattering configurations are interpreted in terms of growing step and
nucleation events in the interface growth profile. In the asymmetrical case the
soliton scattering modes are unstable presumably toward multi soliton
production and extended diffusive modes, signalling the general
non-integrability of the coupled field equations. Finally, we have shown that
growing steps perform anomalous random walk with dynamic exponent z=3/2 and
that the nucleation of a tip is stochastically suppressed with respect to
plateau formation.Comment: 11 pages Revtex file, including 15 postscript-figure
Stretched exponential relaxation for growing interfaces in quenched disordered media
We study the relaxation for growing interfaces in quenched disordered media.
We use a directed percolation depinning model introduced by Tang and Leschhorn
for 1+1-dimensions. We define the two-time autocorrelation function of the
interface height C(t',t) and its Fourier transform. These functions depend on
the difference of times t-t' for long enough times, this is the steady-state
regime. We find a two-step relaxation decay in this regime. The long time tail
can be fitted by a stretched exponential relaxation function. The relaxation
time is proportional to the characteristic distance of the clusters of pinning
cells in the direction parallel to the interface and it diverges as a power
law. The two-step relaxation is lost at a given wave length of the Fourier
transform, which is proportional to the characteristic distance of the clusters
of pinning cells in the direction perpendicular to the interface. The stretched
exponential relaxation is caused by the existence of clusters of pinning cells
and it is a direct consequence of the quenched noise.Comment: 4 pages and 5 figures. Submitted (5/2002) to Phys. Rev.
Signature of effective mass in crackling noise asymmetry
Crackling noise is a common feature in many dynamic systems [1-9], the most
familiar instance of which is the sound made by a sheet of paper when crumpled
into a ball. Although seemingly random, this noise contains fundamental
information about the properties of the system in which it occurs. One
potential source of such information lies in the asymmetric shape of noise
pulses emitted by a diverse range of noisy systems [8-12], but the cause of
this asymmetry has lacked explanation [1]. Here we show that the leftward
asymmetry observed in the Barkhausen effect [2] - the noise generated by the
jerky motion of domain walls as they interact with impurities in a soft magnet
- is a direct consequence of a magnetic domain wall's negative effective mass.
As well as providing a means of determining domain wall effective mass from a
magnet's Barkhausen noise our work suggests an inertial explanation for the
origin of avalanche asymmetries in crackling noise phenomena more generally.Comment: 13 pages, 4 figures, to appear in Nature Physic
Barkhausen Noise and Critical Scaling in the Demagnetization Curve
The demagnetization curve, or initial magnetization curve, is studied by
examining the embedded Barkhausen noise using the non-equilibrium, zero
temperature random-field Ising model. The demagnetization curve is found to
reflect the critical point seen as the system's disorder is changed. Critical
scaling is found for avalanche sizes and the size and number of spanning
avalanches. The critical exponents are derived from those related to the
saturation loop and subloops. Finally, the behavior in the presence of long
range demagnetizing fields is discussed. Results are presented for simulations
of up to one million spins.Comment: 4 pages, 4 figures, submitted to Physical Review Letter
Mean-field limit of systems with multiplicative noise
A detailed study of the mean-field solution of Langevin equations with
multiplicative noise is presented. Three different regimes depending on
noise-intensity (weak, intermediate, and strong-noise) are identified by
performing a self-consistent calculation on a fully connected lattice. The most
interesting, strong-noise, regime is shown to be intrinsically unstable with
respect to the inclusion of fluctuations, as a Ginzburg criterion shows. On the
other hand, the self-consistent approach is shown to be valid only in the
thermodynamic limit, while for finite systems the critical behavior is found to
be different. In this last case, the self-consistent field itself is broadly
distributed rather than taking a well defined mean value; its fluctuations,
described by an effective zero-dimensional multiplicative noise equation,
govern the critical properties. These findings are obtained analytically for a
fully connected graph, and verified numerically both on fully connected graphs
and on random regular networks. The results presented here shed some doubt on
what is the validity and meaning of a standard mean-field approach in systems
with multiplicative noise in finite dimensions, where each site does not see an
infinite number of neighbors, but a finite one. The implications of all this on
the existence of a finite upper critical dimension for multiplicative noise and
Kardar-Parisi-Zhang problems are briefly discussed.Comment: 9 Pages, 8 Figure
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