6,508 research outputs found
The Glassy Potts Model
We introduce a Potts model with quenched, frustrated disorder, that enjoys of
a gauge symmetry that forbids spontaneous magnetization, and allows the glassy
phase to extend from down to T=0. We study numerical the 4 dimensional
model with states. We show the existence of a glassy phase, and we
characterize it by studying the probability distributions of an order
parameter, the binder cumulant and the divergence of the overlap
susceptibility. We show that the dynamical behavior of the system is
characterized by aging.Comment: 4 pages including 4 (color) ps figures (all on page 4
Sequential evacuation strategy for multiple rooms toward the same means of egress
This paper examines different evacuation strategies for systems where several
rooms evacuate trough the same means of egress, using microscopic pedestrian
simulation.As a case study, a medium-rise office building is considered. It was
found that the standard strategy, whereby the simultaneous evacuation of all
levels is performed, can be improved by a sequential evacuation, beginning with
the lowest floor and continuing successively with each one of the upper floors
after a certain delay. The importance of the present research is that it
provides the basis for the design and implementation of new evacuation
strategies and alarm systems that could significantly improve the evacuation of
multiple rooms trough a common means of escape.Comment: 8 pages, 4 figure
A variational approach to Ising spin glasses in finite dimensions
We introduce a hierarchical class of approximations of the random Ising spin
glass in dimensions. The attention is focused on finite clusters of spins
where the action of the rest of the system is properly taken into account. At
the lower level (cluster of a single spin) our approximation coincides with the
SK model while at the highest level it coincides with the true -dimensional
system. The method is variational and it uses the replica approach to spin
glasses and the Parisi ansatz for the order parameter. As a result we have
rigorous bounds for the quenched free energy which become more and more precise
when larger and larger clusters are considered.Comment: 16 pages, Plain TeX, uses Harvmac.tex, 4 ps figures, submitted to J.
Phys. A: Math. Ge
-dimensional Arrays of Josephson Junctions, Spin Glasses and -deformed Harmonic Oscillators
We study the statistical mechanics of a -dimensional array of Josephson
junctions in presence of a magnetic field. In the high temperature region the
thermodynamical properties can be computed in the limit , where
the problem is simplified; this limit is taken in the framework of the mean
field approximation. Close to the transition point the system behaves very
similar to a particular form of spin glasses, i.e. to gauge glasses. We have
noticed that in this limit the evaluation of the coefficients of the high
temperature expansion may be mapped onto the computation of some matrix
elements for the -deformed harmonic oscillator
On the high density behavior of Hamming codes with fixed minimum distance
We discuss the high density behavior of a system of hard spheres of diameter
d on the hypercubic lattice of dimension n, in the limit n -> oo, d -> oo,
d/n=delta. The problem is relevant for coding theory. We find a solution to the
equations describing the liquid up to very large values of the density, but we
show that this solution gives a negative entropy for the liquid phase when the
density is large enough. We then conjecture that a phase transition towards a
different phase might take place, and we discuss possible scenarios for this
transition. Finally we discuss the relation between our results and known
rigorous bounds on the maximal density of the system.Comment: 15 pages, 6 figure
Holographic dark energy described at the Hubble length
We consider holographic cosmological models of dark energy in which the
infrared cutoff is set by the Hubble's radius. We show that any interacting
dark energy model with a matter like term able to alleviate the coincidence
problem (i.e., with a positive interaction term, regardless of its detailed
form) can be recast as a noninteracting model in which the holographic
parameter evolves slowly with time. Two specific cases are analyzed. First, the
interacting model presented in [1] is considered, and its corresponding
noninteracting version found. Then, a new noninteracting model, with a specific
expression of the time-dependent holographic parameter, is proposed and
analyzed along with its corresponding interacting version. We constrain the
parameters of both models using observational data, and show that they can be
told apart at the perturbative level.Comment: 15 pages, 6 figure
Replica Symmetry Breaking in the Random Replicant Model
We study the statistical mechanics of a model describing the coevolution of
species interacting in a random way. We find that at high competition replica
symmetry is broken. We solve the model in the approximation of one step replica
symmetry breaking and we compare our findings with accurate numerical
simulations.Comment: 12 pages, TeX, 5 postscript figures are avalaible upon request,
submitted to Journal of Physics A: Mathematical and Genera
Slow Dynamics in Glasses
We will review some of the theoretical progresses that have been recently
done in the study of slow dynamics of glassy systems: the general techniques
used for studying the dynamics in the mean field approximation and the
emergence of a pure dynamical transition in some of these systems. We show how
the results obtained for a random Hamiltonian may be also applied to a given
Hamiltonian. These two results open the way to a better understanding of the
glassy transition in real systems
- …