3,208 research outputs found
Small Window Overlaps Are Effective Probes of Replica Symmetry Breaking in 3D Spin Glasses
We compute numerically small window overlaps in the three dimensional Edwards
Anderson spin glass. We show that they behave in the way implied by the Replica
Symmetry Breaking Ansatz, that they do not qualitatively differ from the full
volume overlap and do not tend to a trivial function when increasing the
lattice volume. On the contrary we show they are affected by small finite
volume effects, and are interesting tools for the study of the features of the
spin glass phase.Comment: 9 pages plus 5 figure
Equilibrium valleys in spin glasses at low temperature
We investigate the 3-dimensional Edwards-Anderson spin glass model at low
temperature on simple cubic lattices of sizes up to L=12. Our findings show a
strong continuity among T>0 physical features and those found previously at
T=0, leading to a scenario with emerging mean field like characteristics that
are enhanced in the large volume limit. For instance, the picture of space
filling sponges seems to survive in the large volume limit at T>0, while
entropic effects play a crucial role in determining the free-energy degeneracy
of our finite volume states. All of our analysis is applied to equilibrium
configurations obtained by a parallel tempering on 512 different disorder
realizations. First, we consider the spatial properties of the sites where
pairs of independent spin configurations differ and we introduce a modified
spin overlap distribution which exhibits a non-trivial limit for large L.
Second, after removing the Z_2 (+-1) symmetry, we cluster spin configurations
into valleys. On average these valleys have free-energy differences of O(1),
but a difference in the (extensive) internal energy that grows significantly
with L; there is thus a large interplay between energy and entropy
fluctuations. We also find that valleys typically differ by sponge-like space
filling clusters, just as found previously for low-energy system-size
excitations above the ground state.Comment: 10 pages, 8 figures, RevTeX format. Clarifications and additional
reference
On the approach to equilibrium of an Hamiltonian chain of anharmonic oscillators
In this note we study the approach to equilibrium of a chain of anharmonic
oscillators. We find indications that a sufficiently large system always
relaxes to the usual equilibrium distribution. There is no sign of an
ergodicity threshold. The time however to arrive to equilibrium diverges when
, being the anharmonicity.Comment: 8 pages, 5 figure
Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
We study the violation of the fluctuation-dissipation theorem in the three
and four dimensional Gaussian Ising spin glasses using on and off equilibrium
simulations. We have characterized numerically the function X(C) that determine
the violation and we have studied its scaling properties. Moreover we have
computed the function x(C) which characterize the breaking of the replica
symmetry directly from equilibrium simulations. The two functions are
numerically equal and in this way we have established that the conjectured
connection between the violation of fluctuation dissipation theorem in the
off-equilibrium dynamics and the replica symmetry breaking at equilibrium holds
for finite dimensional spin glasses. These results point to a spin glass phase
with spontaneously broken replica symmetry in finite dimensional spin glasses.Comment: 13 pages, 4 figures, also available at
http://chimera.roma1.infn.it/index_papers_complex.htm
Comment on "Ising Spin Glasses in a Magnetic Field"
In ref. cond-mat/9811419 Houdayer and Martin analyze the T=0 3d EA spin glass
with a magnetic field . By using a new, powerful method, they determine an
effective critical field as a function of the lattice size . They use
their results to deduce that the model is behaving like in the droplet approach
and not like the mean-field theory. We show here, by using some unpublished
data, that this very interesting method and numerical results are completely
compatible with the behavior implied by the Replica Symmetry Breaking theory.Comment: One page comment about ref. cond-mat/9811419, including two eps
figure
Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
We present a high statistic systematic study of the overlap correlation
function well below the critical temperature in the three dimensional Gaussian
spin glass. The off-equilibrium correlation function has been studied
confirming the power law behavior for the dynamical correlation length. In
particular we have computed the dynamical critical exponent in a wide range
of temperatures, , obtaining a dependence in a
very good agreement with recent experiments. Moreover, we report a study of the
violation of the fluctuation-dissipation theorem for very low temperatures
and . All our numerical results avoid a droplet model
interpretation even when is as low as .Comment: LaTeX, 14 pages and 5 figures. A minor arithmetic error corrected and
references update
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