1,372 research outputs found
Density Scaling and Dynamic Correlations in Viscous Liquids
We use a recently proposed method [Berthier L.; Biroli G.; Bouchaud J.P.;
Cipelletti L.; El Masri D.; L'Hote D.; Ladieu F.; Pierno M. Science 2005, 310,
1797.] to obtain an approximation to the 4-point dynamic correlation function
from derivatives of the linear dielectric response function. For four liquids
over a range of pressures, we find that the number of dynamically correlated
molecules, Nc, depends only on the magnitude of the relaxation time,
independently of temperature and pressure. This result is consistent with the
invariance of the shape of the relaxation dispersion at constant relaxation
time and the density scaling property of the relaxation times, and implies that
Nc also conforms to the same scaling behavior. For propylene carbonate and
salol Nc becomes constant with approach to the Arrhenius regime, consistent
with the value of unity expected for intermolecularly non-cooperative
relaxation.Comment: revisio
Comment on "Constant stress and pressure rheology of colloidal suspensions"
This is a comment on the recent letter by Wang and Brady on "Constant stress
and pressure rheology of colloidal suspensions", Phys. Rev. Lett. 115, 158301
(2015).Comment: 1 page; under review -> v2: publishe
Can the jamming transition be described using equilibrium statistical mechanics?
When materials such as foams or emulsions are compressed, they display solid
behaviour above the so-called `jamming' transition. Because compression is done
out-of-equilibrium in the absence of thermal fluctuations, jamming appears as a
new kind of a nonequilibrium phase transition. In this proceeding paper, we
suggest that tools from equilibrium statistical mechanics can in fact be used
to describe many specific features of the jamming transition. Our strategy is
to introduce thermal fluctuations and use statistical mechanics to describe the
complex phase behaviour of systems of soft repulsive particles, before sending
temperature to zero at the end of the calculation. We show that currently
available implementations of standard tools such as integral equations,
mode-coupling theory, or replica calculations all break down at low temperature
and large density, but we suggest that new analytical schemes can be developed
to provide a fully microscopic, quantitative description of the jamming
transition.Comment: 8 pages, 6 figs. Talk presented at Statphys24 (July 2010, Cairns,
Australia
Nonlinear rheology of colloidal dispersions
Colloidal dispersions are commonly encountered in everyday life and represent
an important class of complex fluid. Of particular significance for many
commercial products and industrial processes is the ability to control and
manipulate the macroscopic flow response of a dispersion by tuning the
microscopic interactions between the constituents. An important step towards
attaining this goal is the development of robust theoretical methods for
predicting from first-principles the rheology and nonequilibrium microstructure
of well defined model systems subject to external flow. In this review we give
an overview of some promising theoretical approaches and the phenomena they
seek to describe, focusing, for simplicity, on systems for which the colloidal
particles interact via strongly repulsive, spherically symmetric interactions.
In presenting the various theories, we will consider first low volume fraction
systems, for which a number of exact results may be derived, before moving on
to consider the intermediate and high volume fraction states which present both
the most interesting physics and the most demanding technical challenges. In
the high volume fraction regime particular emphasis will be given to the
rheology of dynamically arrested states.Comment: Review articl
Heterogeneities in systems with quenched disorder
We study the strong role played by structural (quenched) heterogeneities on
static and dynamic properties of the Frustrated Ising Lattice Gas in two
dimensions, already in the liquid phase. Differently from the dynamical
heterogeneities observed in other glass models in this case they may have
infinite lifetime and be spatially pinned by the quenched disorder. We consider
a measure of local frustration, show how it induces the appearance of spatial
heterogeneities and how this reflects in the observed behavior of equilibrium
density distributions and dynamic correlation functions.Comment: 8 page
Spatial fluctuations in transient creep deformation
We study the spatial fluctuations of transient creep deformation of materials
as a function of time, both by Digital Image Correlation (DIC) measurements of
paper samples and by numerical simulations of a crystal plasticity or discrete
dislocation dynamics model. This model has a jamming or yielding phase
transition, around which power-law or Andrade creep is found. During primary
creep, the relative strength of the strain rate fluctuations increases with
time in both cases - the spatially averaged creep rate obeys the Andrade law
, while the time dependence of the spatial
fluctuations of the local creep rates is given by . A similar scaling for the fluctuations is found in the logarithmic
creep regime that is typically observed for lower applied stresses. We review
briefly some classical theories of Andrade creep from the point of view of such
spatial fluctuations. We consider these phenomenological, time-dependent creep
laws in terms of a description based on a non-equilibrium phase transition
separating evolving and frozen states of the system when the externally applied
load is varied. Such an interpretation is discussed further by the data
collapse of the local deformations in the spirit of absorbing state/depinning
phase transitions, as well as deformation-deformation correlations and the
width of the cumulative strain distributions. The results are also compared
with the order parameter fluctuations observed close to the depinning
transition of the 2 Linear Interface Model or the quenched Edwards-Wilkinson
equation.Comment: 27 pages, 18 figure
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
Kovacs effect and fluctuation-dissipation relations in 1D kinetically constrained models
Strong and fragile glass relaxation behaviours are obtained simply changing
the constraints of the kinetically constrained Ising chain from symmetric to
purely asymmetric. We study the out-of-equilibrium dynamics of those two models
focusing on the Kovacs effect and the fluctuation--dissipation relations. The
Kovacs or memory effect, commonly observed in structural glasses, is present
for both constraints but enhanced with the asymmetric ones. Most surprisingly,
the related fluctuation-dissipation (FD) relations satisfy the FD theorem in
both cases. This result strongly differs from the simple quenching procedure
where the asymmetric model presents strong deviations from the FD theorem.Comment: 13 pages and 7 figures. To be published in J. Phys.
Crystallization in suspensions of hard spheres: A Monte Carlo and Molecular Dynamics simulation study
The crystallization of a metastable melt is one of the most important non
equilibrium phenomena in condensed matter physics, and hard sphere colloidal
model systems have been used for several decades to investigate this process by
experimental observation and computer simulation. Nevertheless, there is still
an unexplained discrepancy between simulation data and experimental nucleation
rate densities. In this paper we examine the nucleation process in hard spheres
using molecular dynamics and Monte Carlo simulation. We show that the
crystallization process is mediated by precursors of low orientational
bond-order and that our simulation data fairly match the experimental data
sets
- …