5,851 research outputs found
On nonlinear susceptibility in supercooled liquids
In this paper, we discuss theoretically the behavior of the four point
nonlinear susceptibility and its associated correlation length for supercooled
liquids close to the Mode Coupling instability temperature . We work in
the theoretical framework of the glass transition as described by mean field
theory of disordered systems, and the hypernetted chain approximation. Our
results give an interpretation framework for recent numerical findings on
heterogeneities in supercooled liquid dynamics.Comment: Proceedings of the Conference "Unifying Concepts in Glass Physics"
ICTP, Trieste, 15 - 18 September 199
First steps of a nucleation theory in disordered systems
We devise a field theoretical formalism for a microscopic theory of
nucleation processes and phase coexistence in finite dimensional glassy
systems. We study disordered -spin models with large but finite range of
interaction. We work in the framework of glassy effective potential theory
which in mean-field is a non-convex, two minima function of the overlap. We
will associate metastability and phase coexistence with the existence of space
inhomogeneous solution of suitable field equations and we will study the
simplest of such solutions.Comment: 31 pages, 4 figures. Content revised, typos correcte
DYNAMICAL SOLUTION OF A MODEL WITHOUT ENERGY BARRIERS
In this note we study the dynamics of a model recently introduced by one of
us, that displays glassy phenomena in absence of energy barriers. Using an
adiabatic hypothesis we derive an equation for the evolution of the energy as a
function of time that describes extremely well the glassy behaviour observed in
Monte Carlo simulations.Comment: 11 pages, LaTeX, 3 uuencoded figure
Interface energies in Ising spin glasses
The replica method has been used to calculate the interface free energy
associated with the change from periodic to anti-periodic boundary conditions
in finite-dimensional spin glasses. At mean-field level the interface free
energy vanishes but after allowing for fluctuation effects, a non-zero
interface free energy is obtained which is significantly different from
numerical expectations.Comment: 4 pages. Minor changes and clarification
Correlation and response in the Backgammon model: the Ehrenfest legacy
We pursue our investigation of the non-equilibrium dynamics of the Backgammon
model, a dynamical urn model which exhibits aging and glassy behavior at low
temperature. We present an analytical study of the scaling behavior of the
local correlation and response functions of the density fluctuations of the
model, and of the associated fluctuation- dissipation ratios, throughout the
alpha regime of low temperatures and long times. This analysis includes the
aging regime, the convergence to equilibrium, sand the crossover behavior
between them.Comment: 30 pages, 2 figures. To appear in Journal of Physics
Nonequilibrium dynamics of urn models
Dynamical urn models, such as the Ehrenfest model, have played an important
role in the early days of statistical mechanics. Dynamical many-urn models
generalize the former models in two respects: the number of urns is
macroscopic, and thermal effects are included. These many-urn models are
exactly solvable in the mean-field geometry. They allow analytical
investigations of the characteristic features of nonequilibrium dynamics
referred to as aging, including the scaling of correlation and response
functions in the two-time plane and the violation of the
fluctuation-dissipation theorem. This review paper contains a general
presentation of these models, as well as a more detailed description of two
dynamical urn models, the backgammon model and the zeta urn model.Comment: 15 pages. Contribution to the Proceedings of the ESF SPHINX meeting
`Glassy behaviour of kinetically constrained models' (Barcelona, March 22-25,
2001). To appear in a special issue of J. Phys. Cond. Mat
Glass transition and effective potential in the hypernetted chain approximation
We study the glassy transition for simple liquids in the hypernetted chain
(HNC) approximation by means of an effective potential recently introduced.
Integrating the HNC equations for hard spheres, we find a transition scenario
analogous to that of the long range disordered systems with ``one step replica
symmetry breaking''. Our result agree qualitatively with Monte Carlo
simulations of three dimensional hard spheres.Comment: 7 pages, 7 figures, Revtex fil
Theory of vortex lattice effects on STM spectra in d-wave superconductors
Theory of scanning tunneling spectroscopy of low energy quasiparticle (QP)
states in vortex lattices of d-wave superconductors is developed taking account
of the effects caused by an extremely large extension of QP wavefunctions in
the nodal directions and the band structure in the QP spectrum. The oscillatory
structures in STM spectra, which correspond to van Hove singularities are
analysed. Theoretical calculations carried out for finite temperatures and
scattering rates are compared with recent experimental data for high
temperature cuprates.Comment: 4 pages, 3 eps figures, M2S-HTSC-VI conference paper, using Elsevier
style espcrc2.st
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