20,502 research outputs found
Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems
In this note we discuss metastability in a long-but-finite range disordered
model for the glass transition. We show that relaxation is dominated by
configuration belonging to metastable states and associate an in principle
computable free-energy barrier to the equilibrium relaxation time. Adam-Gibbs
like relaxation times appear naturally in this approach.Comment: 4 pages, 2 figures. Typos correcte
Analytic determination of dynamical and mosaic length scales in a Kac glass model
We consider a disordered spin model with multi-spin interactions undergoing a
glass transition. We introduce a dynamic and a static length scales and compute
them in the Kac limit (long--but--finite range interactions). They diverge at
the dynamic and static phase transition with exponents (respectively) -1/4 and
-1. The two length scales are approximately equal well above the mode coupling
transition. Their discrepancy increases rapidly as this transition is
approached. We argue that this signals a crossover from mode coupling to
activated dynamics.Comment: 4 pages, 4 eps figures. New version conform to the published on
Vortex-boson duality in four space-time dimensions
A continuum version of the vortex-boson duality in (3+1) dimensions is
formulated and its implications studied in the context of a pair Wigner crystal
in underdoped cuprate superconductors. The dual theory to a phase fluctuating
superconductor (or superfluid) is shown to be a theory of bosonic strings
interacting through a Kalb-Ramond rank-2 tensorial gauge field. String
condensation produces Higgs mass for the gauge field and the expected Wigner
crystal emerges as an interesting space-time analog of the Abrikosov lattice.Comment: 4 pages REVTeX; for related work and info visit
http://www.physics.ubc.ca/~fran
A note on the Guerra and Talagrand theorems for Mean Field Spin Glasses: the simple case of spherical models
The aim of this paper is to discuss the main ideas of the Talagrand proof of
the Parisi Ansatz for the free-energy of Mean Field Spin Glasses with a
physicist's approach. We consider the case of the spherical -spin model,
which has the following advantages: 1) the Parisi Ansatz takes the simple ``one
step replica symmetry breaking form'', 2) the replica free-energy as a function
of the order parameters is simple enough to allow for numerical maximization
with arbitrary precision. We present the essential ideas of the proof, we
stress its connections with the theory of effective potentials for glassy
systems, and we reduce the technically more difficult part of the Talagrand's
analysis to an explicit evaluation of the solution of a variational problem.Comment: 20 pages, 5 figures. Added references and minor language correction
Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
The correlations of the free-energy landscape of mean-field spin glasses at
different temperatures are investigated, concentrating on models with a first
order freezing transition. Using a ``potential function'' we follow the
metastable states of the model in temperature, and discuss the possibility of
level crossing (which we do not find) and multifurcation (which we find). The
dynamics at a given temperature starting from an equilibrium configuration at a
different temperature is also discussed. In presence of multifurcation, we find
that the equilibrium is never achieved, leading to aging behaviour at slower
energy levels than usual aging. The relevance of the observed mechanisms for
real structural glasses is discussed, and some numerical simulations of a soft
sphere model of glass are presented.Comment: 16 pages, LaTeX, 10 figures (12 postscript files
Series Expansion of the Off-Equilibrium Mode Coupling Equations
We show that computing the coefficients of the Taylor expansion of the
solution of the off-equilibrium dynamical equations characterizing models with
quenched disorder is a very effective way to understand the long time
asymptotic behavior. We study the spherical spin glass model, and we
compute the asymptotic energy (in the critical region and down to ) and
the coefficients of the time decay of the energy.Comment: 9 pages, LaTeX, 3 uuencoded figure
The bees of Greater Puerto Rico (Hymenoptera: Apoidea: Anthophila)
The bee fauna of the Greater Puerto Rico area was studied. A review of the previous relevant studies is presented. An annotated catalog and information about the origin and distributional patterns are also provided. Thirty-nine species of bees occur in Puerto Rico and adjacent islands. This fauna is composed of four elements: exclusive Puerto Rican endemics (26.5%); Antillean endemics occurring on multiple islands (76.5%); continental species that have also colonized the Antilles (23.5%); and species introduced through human activity (12.8%). The bee fauna was both low in its diversity and showed the highest level of disharmony in relation to other faunas of the Greater Antilles. A lectotype is here designated for Agapostemon krugii Wolcott, 1936
Impurity scattering and localization in -wave superconductors
Strong evidence is presented for the localization of low energy quasiparticle
states in disordered -wave superconductors. Within the framework of the
Bogoliubov-de Gennes (BdG) theory applied to the extended Hubbard model with a
finite concentration of non-magnetic impurities, we carry out a fully
self-consistent numerical diagonalization of the BdG equations on finite
clusters containing up to sites. Localized states are identified
by probing their sensitivity to the boundary conditions and by analyzing the
finite size dependence of inverse participation ratios.Comment: 4 pages REVTeX with 2 embedded .ps figures; submitted to PRB as Rapid
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