990 research outputs found
Complex lithium ion dynamics in simulated LiPO3 glass studied by means of multi-time correlation functions
Molecular dynamics simulations are performed to study the lithium jumps in
LiPO3 glass. In particular, we calculate higher-order correlation functions
that probe the positions of single lithium ions at several times. Three-time
correlation functions show that the non-exponential relaxation of the lithium
ions results from both correlated back-and-forth jumps and the existence of
dynamical heterogeneities, i.e., the presence of a broad distribution of jump
rates. A quantitative analysis yields that the contribution of the dynamical
heterogeneities to the non-exponential depopulation of the lithium sites
increases upon cooling. Further, correlated back-and-forth jumps between
neighboring sites are observed for the fast ions of the distribution, but not
for the slow ions and, hence, the back-jump probability depends on the
dynamical state. Four-time correlation functions indicate that an exchange
between fast and slow ions takes place on the timescale of the jumps
themselves, i.e., the dynamical heterogeneities are short-lived. Hence, sites
featuring fast and slow lithium dynamics, respectively, are intimately mixed.
In addition, a backward correlation beyond the first neighbor shell for highly
mobile ions and the presence of long-range dynamical heterogeneities suggest
that fast ion migration occurs along preferential pathways in the glassy
matrix. In the melt, we find no evidence for correlated back-and-forth motions
and dynamical heterogeneities on the length scale of the next-neighbor
distance.Comment: 12 pages, 13 figure
Colloids in light fields: particle dynamics in random and periodic energy landscapes
The dynamics of colloidal particles in potential energy landscapes have
mainly been investigated theoretically. In contrast, here we discuss the
experimental realization of potential energy landscapes with the help of light
fields and the observation of the particle dynamics by video microscopy. The
experimentally observed dynamics in periodic and random potentials are compared
to simulation and theoretical results in terms of, e.g. the mean-squared
displacement, the time-dependent diffusion coefficient or the non-Gaussian
parameter. The dynamics are initially diffusive followed by intermediate
subdiffusive behaviour which again becomes diffusive at long times. How
pronounced and extended the different regimes are, depends on the specific
conditions, in particular the shape of the potential as well as its roughness
or amplitude but also the particle concentration. Here we focus on dilute
systems, but the dynamics of interacting systems in external potentials, and
thus the interplay between particle-particle and particle-potential
interactions, is also mentioned briefly. Furthermore, the observed dynamics of
dilute systems resemble the dynamics of concentrated systems close to their
glass transition, with which it is compared. The effect of certain potential
energy landscapes on the dynamics of individual particles appears similar to
the effect of interparticle interactions in the absence of an external
potential
Griffiths singularities in the two dimensional diluted Ising model
We study numerically the probability distribution of the Yang-Lee zeroes
inside the Griffiths phase for the two dimensional site diluted Ising model and
we check that the shape of this distribution is that predicted in previous
analytical works. By studying the finite size scaling of the averaged smallest
zero at the phase transition we extract, for two values of the dilution, the
anomalous dimension, , which agrees very well with the previous estimated
values.Comment: 11 pages and 4 figures, some minor changes in Fig. 4, available at
http://chimera.roma1.infn.it/index_papers_complex.htm
Monte Carlo Simulation of Universal Short-Time Behavior in Critical Relaxation
The time evolution of the three-dimensional critical Ising model relaxing
from a nonequilibrium initial state is studied by means of Monte Carlo
simulation. We observe the characteristic initial increase of the (spatially)
averaged magnetization predicted by Janssen et al. The exponent theta' that
governs the initial behavior is determined, and the dependence of the long-time
linear decay on the initial magnetization analyzed. Our simulation corroborates
earlier results derived from continuum models.Comment: 9 pages, 4 figures, uuencoded postscript file, Si-94-1
Transition from a maternal to external nitrogen source in maize seedlings
Maximizing NO3− uptake during seedling development is important as it has a major influence on plant growth and yield. However, little is known about the processes leading to, and involved in, the initiation of root NO3− uptake capacity in developing seedlings. This study examines the physiological processes involved in root NO3− uptake and metabolism, to gain an understanding of how the NO3− uptake system responds to meet demand as maize seedlings transition from seed N use to external N capture. The concentrations of seed‐derived free amino acids within root and shoot tissues are initially high, but decrease rapidly until stabilizing eight days after imbibition (DAI). Similarly, shoot N% decreases, but does not stabilize until 12–13 DAI. Following the decrease in free amino acid concentrations, root NO3− uptake capacity increases until shoot N% stabilizes. The increase in root NO3− uptake capacity corresponds with a rapid rise in transcript levels of putative NO3− transporters, ZmNRT2.1 and ZmNRT2.2 . The processes underlying the increase in root NO3− uptake capacity to meet N demand provide an insight into the processes controlling N uptake
Mode-coupling theory for multiple-time correlation functions of tagged particle densities and dynamical filters designed for glassy systems
The theoretical framework for higher-order correlation functions involving
multiple times and multiple points in a classical, many-body system developed
by Van Zon and Schofield [Phys. Rev. E 65, 011106 (2002)] is extended here to
include tagged particle densities. Such densities have found an intriguing
application as proposed measures of dynamical heterogeneities in structural
glasses. The theoretical formalism is based upon projection operator techniques
which are used to isolate the slow time evolution of dynamical variables by
expanding the slowly-evolving component of arbitrary variables in an infinite
basis composed of the products of slow variables of the system. The resulting
formally exact mode-coupling expressions for multiple-point and multiple-time
correlation functions are made tractable by applying the so-called N-ordering
method. This theory is used to derive for moderate densities the leading mode
coupling expressions for indicators of relaxation type and domain relaxation,
which use dynamical filters that lead to multiple-time correlations of a tagged
particle density. The mode coupling expressions for higher order correlation
functions are also succesfully tested against simulations of a hard sphere
fluid at relatively low density.Comment: 15 pages, 2 figure
A Solvable Model of a Glass
An analytically tractable model is introduced which exhibits both, a
glass--like freezing transition, and a collection of double--well
configurations in its zero--temperature potential energy landscape. The latter
are generally believed to be responsible for the anomalous low--temperature
properties of glass-like and amorphous systems via a tunneling mechanism that
allows particles to move back and forth between adjacent potential energy
minima. Using mean--field and replica methods, we are able to compute the
distribution of asymmetries and barrier--heights of the double--well
configurations {\em analytically}, and thereby check various assumptions of the
standard tunneling model. We find, in particular, strong correlations between
asymmetries and barrier--heights as well as a collection of single--well
configurations in the potential energy landscape of the glass--forming system
--- in contrast to the assumptions of the standard model. Nevertheless, the
specific heat scales linearly with temperature over a wide range of low
temperatures.Comment: 11 pages, latex, including 5 figures, talk presented at the XIV
Sitges Conferenc
Multiple-Point and Multiple-Time Correlations Functions in a Hard-Sphere Fluid
A recent mode coupling theory of higher-order correlation functions is tested
on a simple hard-sphere fluid system at intermediate densities. Multi-point and
multi-time correlation functions of the densities of conserved variables are
calculated in the hydrodynamic limit and compared to results obtained from
event-based molecular dynamics simulations. It is demonstrated that the mode
coupling theory results are in excellent agreement with the simulation results
provided that dissipative couplings are included in the vertices appearing in
the theory. In contrast, simplified mode coupling theories in which the
densities obey Gaussian statistics neglect important contributions to both the
multi-point and multi-time correlation functions on all time scales.Comment: Second one in a sequence of two (in the first, the formalism was
developed). 12 pages REVTeX. 5 figures (eps). Submitted to Phys.Rev.
Bremsstrahlung from a Microscopic Model of Relativistic Heavy Ion Collisions
We compute bremsstrahlung arising from the acceleration of individual charged
baryons and mesons during the time evolution of high-energy Au+Au collisions at
the Relativistic Heavy Ion Collider using a microscopic transport model. We
elucidate the connection between bremsstrahlung and charge stopping by
colliding artificial pure proton on pure neutron nuclei. From the intensity of
low energy bremsstrahlung, the time scale and the degree of stopping could be
accurately extracted without measuring any hadronic observables.Comment: 25 pages using revtex with 9 embedded EPS figures, modified somewhat
the discussion on the method in sect. II B, to appear in Phys. Rev.
Self-averaging of random and thermally disordered diluted Ising systems
Self-averaging of singular thermodynamic quantities at criticality for
randomly and thermally diluted three dimensional Ising systems has been studied
by the Monte Carlo approach. Substantially improved self-averaging is obtained
for critically clustered (critically thermally diluted) vacancy distributions
in comparison with the observed self-averaging for purely random diluted
distributions. Critically thermal dilution, leading to maximum relative
self-averaging, corresponds to the case when the characteristic vacancy
ordering temperature is made equal to the magnetic critical temperature for the
pure 3D Ising systems. For the case of a high ordering temperature, the
self-averaging obtained is comparable to that in a randomly diluted system.Comment: 4 pages, 4figures, RevTe
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