4,090 research outputs found
Monte Carlo study of the growth of striped domains
We analyze the dynamical scaling behavior in a two-dimensional spin model
with competing interactions after a quench to a striped phase. We measure the
growth exponents studying the scaling of the interfaces and the scaling of the
shrinking time of a ball of one phase plunged into the sea of another phase.
Our results confirm the predictions found in previous papers. The correlation
functions measured in the direction parallel and transversal to the stripes are
different as suggested by the existence of different interface energies between
the ground states of the model. Our simulations show anisotropic features for
the correlations both in the case of single-spin-flip and spin-exchange
dynamics.Comment: 15 pages, ReVTe
Sum of exit times in series of metastable states in probabilistic cellular automata
Reversible Probabilistic Cellular Automata are a special class
of automata whose stationary behavior is described by Gibbs--like
measures. For those models the dynamics can be trapped for a very
long time in states which are very different from the ones typical
of stationarity.
This phenomenon can be recasted in the framework of metastability
theory which is typical of Statistical Mechanics.
In this paper we consider a model presenting two not degenerate in
energy
metastable states which form a series, in the sense that,
when the dynamics is started at one of them, before reaching
stationarity, the system must necessarily visit the second one.
We discuss a rule for combining the exit times
from each of the metastable states
Persistence exponent in a superantiferromagnetic quenching
We measure the persistence exponent in a phase separating two-dimensional
spin system with non-conserved dynamics quenched in a region with four
coexisting stripe phases. The system is an Ising model with nearest neighbor,
next-to-the-nearest neighbor and plaquette interactions. Due the particular
nature of the ground states, the order parameter is defined in terms of blocks
of spins. Our estimate of the persistence exponent, , differs from
those of the two-dimensional Ising and four state Potts models. Our procedure
allows the study of persistence properties also at finite temperature : our
results are compatible with the hypothesis that does not depend on
below the critical point.Comment: LaTeX file with postscript figure
Correlation functions by Cluster Variation Method for Ising model with NN, NNN and Plaquette interactions
We consider the procedure for calculating the pair correlation function in
the context of the Cluster Variation Methods. As specific cases, we study the
pair correlation function in the paramagnetic phase of the Ising model with
nearest neighbors, next to the nearest neighbors and plaquette interactions in
two and three dimensions. In presence of competing interactions, the so called
disorder line separates in the paramagnetic phase a region where the
correlation function has the usual exponential behavior from a region where the
correlation has an oscillating exponentially damped behavior. In two
dimensions, using the plaquette as the maximal cluster of the CVM
approximation, we calculate the phase diagram and the disorder line for a case
where a comparison is possible with results known in literature for the
eight-vertex model. In three dimensions, in the CVM cube approximation, we
calculate the phase diagram and the disorder line in some cases of particular
interest. The relevance of our results for experimental systems like mixtures
of oil, water and surfactant is also discussed.Comment: 31 pages, LaTeX file, 7 figure
Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
The study of systems with multiple (not necessarily degenerate) metastable
states presents subtle difficulties from the mathematical point of view related
to the variational problem that has to be solved in these cases. We introduce
the notion of relaxation height in a general energy landscape and we prove
sufficient conditions which are valid even in presence of multiple metastable
states. We show how these results can be used to approach the problem of
multiple metastable states via the use of the modern theories of metastability.
We finally apply these general results to the Blume--Capel model for a
particular choice of the parameters ensuring the existence of two multiple, and
not degenerate in energy, metastable states
Three-dimensional Gonihedric Potts model
We study, by the Mean Field and Monte Carlo methods, a generalized q-state
Potts gonihedric model. The phase transition of the model becomes stronger with
increasing The value at which the phase transition becomes
second order, turns out to be an increasing function of Comment: 11 pages, 7 figure
Microwave-induced thermal escape in Josephson junctions
We investigate, by experiments and numerical simulations, thermal activation
processes of Josephson tunnel junctions in the presence of microwave radiation.
When the applied signal resonates with the Josephson plasma frequency
oscillations, the switching current may become multi-valued in a temperature
range far exceeding the classical to quantum crossover temperature. Plots of
the switching currents traced as a function of the applied signal frequency
show very good agreement with the functional forms expected from Josephson
plasma frequency dependencies on the bias current. Throughout, numerical
simulations of the corresponding thermally driven classical Josephson junction
model show very good agreement with the experimental data.Comment: 10 pages and 4 figure
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