199 research outputs found
An intermediate state between the kagome-ice and the fully polarized state in DyTiO
DyTiO is at present the cleanest example of a spin-ice material.
Previous theoretical and experimental work on the first-order transition
between the kagome-ice and the fully polarized state has been taken as a
validation for the dipolar spin-ice model. Here we investigate in further depth
this phase transition using ac-susceptibility and dc-magnetization, and compare
this results with Monte-Carlo simulations and previous magnetization and
specific heat measurements. We find signatures of an intermediate state between
the kagome-ice and full polarization. This signatures are absent in current
theoretical models used to describe spin-ice materials.Comment: 7 pages, 4 figure
A phase-separation perspective on dynamic heterogeneities in glass-forming liquids
We study dynamic heterogeneities in a model glass-former whose overlap with a
reference configuration is constrained to a fixed value. The system
phase-separates into regions of small and large overlap, so that dynamical
correlations remain strong even for asymptotic times. We calculate an
appropriate thermodynamic potential and find evidence of a Maxwell's
construction consistent with a spinodal decomposition of two phases. Our
results suggest that dynamic heterogeneities are the expression of an ephemeral
phase-separating regime ruled by a finite surface tension
Vibrations in glasses and Euclidean Random Matrix theory
We study numerically and analytically a simple off-lattice model of scalar
harmonic vibrations by means of Euclidean random matrix theory. Since the
spectrum of this model shares the most puzzling spectral features with the
high-frequency domain of glasses (non-Rayleigh broadening of the Brillouin
peak, boson peak and secondary peak), the Euclidean random matrix theory
provide a single and fairly simple theoretical framework to their explanation.Comment: 11 pages, 7 postscript figures, Proceedings of Statphys 2
The Boson peak and the phonons in glasses
Despite the presence of topological disorder, phonons seem to exist also in
glasses at very high frequencies (THz) and they remarkably persist into the
supercooled liquid. A universal feature of such a systems is the Boson peak, an
excess of states over the standard Debye contribution at the vibrational
density of states. Exploiting the euclidean random matrix theory of vibrations
in amorphous systems we show that this peak is the signature of a phase
transition in the space of the stationary points of the energy, from a
minima-dominated phase (with phonons) at low energy to a saddle-point dominated
phase (without phonons). The theoretical predictions are checked by means of
numeric simulations.Comment: to appear in the proceedings of the conference "Slow dynamics in
complex sistems", Sendai (Japan) 200
Vibrational spectra in glasses
The findings of X-ray and neutron scattering experiments on amorphous systems
are interpreted within the framework of the theory of Euclidean random
matrices. This allows to take into account the topological nature of the
disorder, a key ingredient which strongly affects the vibrational spectra of
those systems. We present a resummation scheme for a perturbative expansion in
the inverse particle density, allowing an accurate analytical computation of
the dynamical structure factor within the range of densities encountered in
real systems.Comment: Talk given at the '8th International Workshop on Disordered Systems'
Andalo, Trento, 12-15 March 200
Static correlations functions and domain walls in glass-forming liquids: the case of a sandwich geometry
The problem of measuring nontrivial static correlations in deeply supercooled
liquids made recently some progress thanks to the introduction of amorphous
boundary conditions, in which a set of free particles is subject to the effect
of a different set of particles frozen into their (low temperature) equilibrium
positions. In this way, one can study the crossover from nonergodic to ergodic
phase, as the size of the free region grows and the effect of the confinement
fades. Such crossover defines the so-called point-to-set correlation length,
which has been measured in a spherical geometry, or cavity. Here, we make
further progress in the study ofcorrelations under amorphous boundary
conditions by analyzing the equilibrium properties of a glass-forming liquid,
confined in a planar ("sandwich") geometry. The mobile particles are subject to
amorphous boundary conditions with the particles in the surrounding walls
frozen into their low temperature equilibrium configurations. Compared to the
cavity, the sandwich geometry has three main advantages: i) the width of the
sandwich is decoupled from its longitudinal size, making the thermodynamic
limit possible; ii) for very large width, the behaviour off a single wall can
be studied; iii) we can use "anti-parallel" boundary conditions to force a
domain wall and measure its excess energy. Our results confirm that amorphous
boundary conditions are indeed a very useful new tool inthe study of static
properties of glass-forming liquids, but also raise some warning about the fact
that not all correlation functions that can be calculated in this framework
give the same qualitative results.Comment: Submited to JCP special issue on the glass transisio
Numerical simulations of liquids with amorphous boundary conditions
It has recently become clear that simulations under amorphpous boundary
conditions (ABCs) can provide valuable information on the dynamics and
thermodynamics of disordered systems with no obvious ordered parameter. In
particular, they allow to detect a correlation length that is not measurable
with standard correlation functions. Here we explain what exactly is meant by
ABCs, discuss their relation with point-to-set correlations and briefly
describe some recent results obtained with this technique.Comment: Presented at STATPHYS 2
Glassy dynamics, metastability limit and crystal growth in a lattice spin model
We introduce a lattice spin model where frustration is due to multibody
interactions rather than quenched disorder in the Hamiltonian. The system has a
crystalline ground state and below the melting temperature displays a dynamic
behaviour typical of fragile glasses. However, the supercooled phase loses
stability at an effective spinodal temperature, and thanks to this the Kauzmann
paradox is resolved. Below the spinodal the system enters an off-equilibrium
regime corresponding to fast crystal nucleation followed by slow activated
crystal growth. In this phase and in a time region which is longer the lower
the temperature we observe a violation of the fluctuation-dissipation theorem
analogous to structural glasses. Moreover, we show that in this system there is
no qualitative difference between a locally stable glassy configuration and a
highly disordered polycrystal
Surface tension fluctuations and a new spinodal point in glass-forming liquids
The dramatic slowdown of glass-forming liquids has been variously linked to
increasing dynamic and static correlation lengths. Yet, empirical evidence is
insufficient to decide among competing theories. The random first order theory
(RFOT) links the dynamic slowdown to the growth of amorphous static order,
whose range depends on a balance between configurational entropy and surface
tension. This last quantity is expected to vanish when the temperature
surpasses a spinodal point beyond which there are no metastable states. Here we
measure for the first time the surface tension in a model glass-former, and
find that it vanishes at the energy separating minima from saddles,
demonstrating the existence of a spinodal point for amorphous metastable order.
Moreover, the fluctuations of surface tension become smaller for lower
temperatures, in quantitative agreement with recent theoretical speculation
that spatial correlations in glassy systems relax nonexponentially because of
the narrowing of the surface tension distribution.Comment: 6 pages, 5 figure
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