308 research outputs found
Magnetic relaxation in hard type-II superconductors
Magnetic relaxation in a type-II superconductor is simulated for a range of
temperatures (T) in a simple model of 2D Josephson junction array (JJA) with
finite screening. The high-T phase, that is characterised by a single time
scale \tau_{\alpha}, crosses over to an intermediate phase at a lower
temperature T_{cr} wherein a second time scale \tau_{\beta}<<\tau_{\alpha}
emerges. The relaxation in the time window set by \tau_{\beta} follows power
law which is attributed to self-organization of the magnetic flux during
relaxation. Consequently, for T<T_{cr}, a transition from super-critical
(current density J>J_{c}) to sub-critical (J<J_{c}) state separated by an
intermediate state with frozen dynamics is observed. Both \tau_{\alpha} and
\tau_{\beta} diverges at T_{sc}<T_{cr}, marking the transition into a state
with true persistent current.Comment: 7 Pages (in Europhys format, .sty included), 5 Figures. To appear in
Europhysics Letter
Dynamical critical exponents for the mean-field Potts glass
In this paper we study the critical behaviour of the fully-connected
p-colours Potts model at the dynamical transition. In the framework of Mode
Coupling Theory (MCT), the time autocorrelation function displays a two step
relaxation, with two exponents governing the approach to the plateau and the
exit from it. Exploiting a relation between statics and equilibrium dynamics
which has been recently introduced, we are able to compute the critical slowing
down exponents at the dynamical transition with arbitrary precision and for any
value of the number of colours p. When available, we compare our exact results
with numerical simulations. In addition, we present a detailed study of the
dynamical transition in the large p limit, showing that the system is not
equivalent to a random energy model.Comment: 10 pages, 3 figure
Relaxation processes and entropic traps in the Backgammon model
We examine the density-density correlation function in a model recently
proposed to study the effect of entropy barriers in glassy dynamics. We find
that the relaxation proceeds in two steps with a fast beta process followed by
alpha relaxation. The results are physically interpreted in the context of an
adiabatic approximation which allows to separate the two processes, and to
define an effective temperature in the off-equilibrium dynamics of the model.
We investigate the behavior of the response function associated to the density,
and find violations of the fluctuation dissipation theorem.Comment: 4 Pages including 3 Figures, Revte
Glass transition in models with controlled frustration
A class of models with self-generated disorder and controlled frustration is
studied. Between the trivial case, where frustration is not present at all, and
the limit case, where frustration is present over every length scale, a region
with local frustration is found where glassy dynamics appears. We suggest that
in this region, the mean field model might undergo a p-spin like transition,
and increasing the range of frustration, a crossover from a 1-step replica
symmetry breaking to a continuous one might be observed.Comment: 4 pages, 6 figure
On the rigidity of a hard sphere glass near random close packing
We study theoretically and numerically the microscopic cause of the
mechanical stability of hard sphere glasses near their maximum packing. We show
that, after coarse-graining over time, the hard sphere interaction can be
described by an effective potential which is exactly logarithmic at the random
close packing . This allows to define normal modes, and to apply recent
results valid for elastic networks: mechanical stability is a non-local
property of the packing geometry, and is characterized by some length scale
which diverges at [1, 2]. We compute the scaling of the bulk and
shear moduli near , and speculate on the possible implications of these
results for the glass transition.Comment: 7 pages, 4 figures. Figure 4 had a wrong unit in abscissa, which was
correcte
Thermodynamic Comparison and the Ideal Glass Transition of A Monatomic Systems Modeled as an Antiferromagnetic Ising Model on Husimi and Cubic Recursive Lattices of the Same Coordination Number
Two kinds of recursive lattices with the same coordination number but
different unit cells (2-D square and 3-D cube) are constructed and the
antiferromagnetic Ising model is solved exactly on them to study the stable and
metastable states. The Ising model with multi-particle interactions is designed
to represent a monatomic system or an alloy. Two solutions of the model exhibit
the crystallization of liquid, and the ideal glass transition of supercooled
liquid respectively. Based on the solutions, the thermodynamics on both
lattices was examined. In particular, the free energy, energy, and entropy of
the ideal glass, supercooled liquid, crystal, and liquid state of the model on
each lattice were calculated and compared with each other. Interactions between
particles farther away than the nearest neighbor distance are taken into
consideration. The two lattices show comparable properties on the transition
temperatures and the thermodynamic behaviors, which proves that both of them
are practical to describe the regular 3-D case, while the different effects of
the unit types are still obvious.Comment: 27 pages, 13 figure
Glassy Mean-Field Dynamics of the Backgammon model
In this paper we present an exact study of the relaxation dynamics of the
backgammon model. This is a model of a gas of particles in a discrete space
which presents glassy phenomena as a result of {\it entropy barriers} in
configuration space. The model is simple enough to allow for a complete
analytical treatment of the dynamics in infinite dimensions. We first derive a
closed equation describing the evolution of the occupation number
probabilities, then we generalize the analysis to the study the autocorrelation
function. We also consider possible variants of the model which allow to study
the effect of energy barriers.Comment: 21 pages, revtex, 4 uuencoded figure
Jamming transition in granular media: A mean field approximation and numerical simulations
In order to study analytically the nature of the jamming transition in
granular material, we have considered a cavity method mean field theory, in the
framework of a statistical mechanics approach, based on Edwards' original idea.
For simplicity we have applied the theory to a lattice model and a transition
with exactly the same nature of the glass transition in mean field models for
usual glass formers is found. The model is also simulated in three dimensions
under tap dynamics and a jamming transition with glassy features is observed.
In particular two step decays appear in the relaxation functions and dynamic
heterogeneities resembling ones usually observed in glassy systems. These
results confirm early speculations about the connection between the jamming
transition in granular media and the glass transition in usual glass formers,
giving moreover a precise interpretation of its nature.Comment: 11 pages, 12 figure
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