1,410 research outputs found
Cluster growth in far-from-equilibrium particle models with diffusion, detachment, reattachment and deposition
Monolayer cluster growth in far-from-equilibrium systems is investigated by
applying simulation and analytic techniques to minimal hard core particle
(exclusion) models. The first model (I), for post-deposition coarsening
dynamics, contains mechanisms of diffusion, attachment, and slow activated
detachment (at rate epsilon<<1) of particles on a line. Simulation shows three
successive regimes of cluster growth: fast attachment of isolated particles;
detachment allowing further (epsilon t)^(1/3) coarsening of average cluster
size; and t^(-1/2) approach to a saturation size going like epsilon^(-1/2).
Model II generalizes the first one in having an additional mechanism of
particle deposition into cluster gaps, suppressed for the smallest gaps. This
model exhibits early rapid filling, leading to slowing deposition due to the
increasing scarcity of deposition sites, and then continued power law (epsilon
t)^(1/2) cluster size coarsening through the redistribution allowed by slow
detachment. The basic (epsilon t)^(1/3) domain growth laws and epsilon^(-1/2)
saturation in model I are explained by a simple scaling picture. A second,
fuller approach is presented which employs a mapping of cluster configurations
to a column picture and an approximate factorization of the cluster
configuration probability within the resulting master equation. This allows
quantitative results for the saturation of model I in excellent agreement with
the simulation results. For model II, it provides a one-variable scaling
function solution for the coarsening probability distribution, and in
particular quantitative agreement with the cluster length scaling and its
amplitude.Comment: Accepted in Phys. Rev. E; 9 pages with figure
Fluctuation-dissipation relation and the Edwards entropy for a glassy granular compaction model
We analytically study a one dimensional compaction model in the glassy
regime. Both correlation and response functions are calculated exactly in the
evolving dense and low tapping strength limit, where the density relaxes in a
fashion. The response and correlation functions turn out to be
connected through a non-equilibrium generalisation of the
fluctuation-dissipation theorem. The initial response in the average density to
an increase in the tapping strength is shown to be negative, while on longer
timescales it is shown to be positive. On short time scales the
fluctuation-dissipation theorem governs the relation between correlation and
response, and we show that such a relationship also exists for the slow degrees
of freedom, albeit with a different temperature. The model is further studied
within the statistical theory proposed by Edwards and co-workers, and the
Edwards entropy is calculated in the large system limit. The fluctuations
described by this approach turn out to match the fluctuations as calculated
through the dynamical consideration. We believe this to be the first time these
ideas have been analytically confirmed in a non-mean-field model.Comment: 4 pages, 3 figure
Non-universal coarsening and universal distributions in far-from equilibrium systems
Anomalous coarsening in far-from equilibrium one-dimensional systems is
investigated by simulation and analytic techniques. The minimal hard core
particle (exclusion) models contain mechanisms of aggregated particle
diffusion, with rates epsilon<<1, particle deposition into cluster gaps, but
suppressed for the smallest gaps, and breakup of clusters which are adjacent to
large gaps. Cluster breakup rates vary with the cluster length x as kx^alpha.
The domain growth law x ~ (epsilon t)^z, with z=1/(2+alpha) for alpha>0, is
explained by a scaling picture, as well as the scaling of the density of double
vacancies (at which deposition and cluster breakup are allowed) as 1/[t(epsilon
t)^z]. Numerical simulations for several values of alpha and epsilon confirm
these results. An approximate factorization of the cluster configuration
probability is performed within the master equation resulting from the mapping
to a column picture. The equation for a one-variable scaling function explains
the above results. The probability distributions of cluster lengths scale as
P(x)= 1/(epsilon t)^z g(y), with y=x/(epsilon t)^z. However, those
distributions show a universal tail with the form g(y) ~ exp(-y^{3/2}), which
disagrees with the prediction of the independent cluster approximation. This
result is explained by the connection of the vacancy dynamics with the problem
of particle trapping in an infinite sea of traps and is confirmed by
simulation.Comment: 30 pages (10 figures included), to appear in Phys. Rev.
Modeling one-dimensional island growth with mass-dependent detachment rates
We study one-dimensional models of particle diffusion and
attachment/detachment from islands where the detachment rates gamma(m) of
particles at the cluster edges increase with cluster mass m. They are expected
to mimic the effects of lattice mismatch with the substrate and/or long-range
repulsive interactions that work against the formation of long islands.
Short-range attraction is represented by an overall factor epsilon<<1 in the
detachment rates relatively to isolated particle hopping rates [epsilon ~
exp(-E/T), with binding energy E and temperature T]. We consider various
gamma(m), from rapidly increasing forms such as gamma(m) ~ m to slowly
increasing ones, such as gamma(m) ~ [m/(m+1)]^b. A mapping onto a column
problem shows that these systems are zero-range processes, whose steady states
properties are exactly calculated under the assumption of independent column
heights in the Master equation. Simulation provides island size distributions
which confirm analytic reductions and are useful whenever the analytical tools
cannot provide results in closed form. The shape of island size distributions
can be changed from monomodal to monotonically decreasing by tuning the
temperature or changing the particle density rho. Small values of the scaling
variable X=epsilon^{-1}rho/(1-rho) favour the monotonically decreasing ones.
However, for large X, rapidly increasing gamma(m) lead to distributions with
peaks very close to and rapidly decreasing tails, while slowly increasing
gamma(m) provide peaks close to /2$ and fat right tails.Comment: 16 pages, 6 figure
A family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice
A two-parameter family of discrete-time exactly-solvable exclusion processes
on a one-dimensional lattice is introduced, which contains the asymmetric
simple exclusion process and the drop-push model as particular cases. The
process is rewritten in terms of boundary conditions, and the conditional
probabilities are calculated using the Bethe-ansatz. This is the discrete-time
version of the continuous-time processes already investigated in [1-3]. The
drift- and diffusion-rates of the particles are also calculated for the
two-particle sector.Comment: 10 page
The Tails of the Crossing Probability
The scaling of the tails of the probability of a system to percolate only in
the horizontal direction was investigated numerically for correlated
site-bond percolation model for .We have to demonstrate that the
tails of the crossing probability far from the critical point have shape
where is the correlation
length index, is the probability of a bond to be closed. At
criticality we observe crossover to another scaling . Here is a scaling index describing the
central part of the crossing probability.Comment: 20 pages, 7 figures, v3:one fitting procedure is changed, grammatical
change
Genética de la conservación para la recuperación de especies animales en peligro de extinción: revisión de los planes de recuperación de especies en peligro de extinción de Estados Unidos (1977–1998)
The utility of genetic data in conservation efforts, particularly in comparison to demographic information, is the subject of ongoing debate. Using a database of information surveyed from 181 US endangered and threatened species recovery plans, we addressed the following questions concerning the use of genetic information in animal recovery plans: I. What is the relative prominence of genetic vs. demographic data in recovery plan development? and, II. When are genetic factors viewed as a threat, and how do plans respond to genetic threats? In general, genetics appear to play a minor and relatively ill–defined part in the recovery planning process; demographic data are both more abundant and more requested in recovery plans, and tasks are more frequently assigned to the collection / monitoring of demographic rather than genetic information. Nonetheless, genetic threats to species persistence and recovery are identified in a substantial minority (22 %) of recovery plans, although there is little uniform response to these perceived threats in the form of specific proposed recovery or management tasks. Results indicate that better guidelines are needed to identify how and when genetic information is most useful for species recovery; we highlight specific contexts in which genetics may provide unique management information, beyond that provided by other kinds of data.La utilidad de los datos genéticos en los esfuerzos conservacionistas, en particular en comparación con la información demográfica, es objeto de un continuo debate. Utilizando una base de datos con información sobre los 181 planes de recuperación de especies amenazadas y en peligro de extinción de Estados Unidos, hemos estudiado las siguientes cuestiones referentes al uso de la información genética en los planes de recuperación de especies animales: I ¿Cuál es la importancia relativa de los datos genéticos en comparación con los demográficos en el desarrollo de los planes de recuperación? y II ¿Cuándo se considera que los factores genéticos constituyen una amenaza, y cómo responden los planes a esas amenazas genéticas? En general, parece que la genética sólo desempeña un papel menor y relativamente mal definido en el proceso de planificación de la recuperación de especies; los datos demográficos son más abundantes y más solicitados para la elaboración de planes de recuperación, y las acciones que se llevan a cabo con frecuencia se enfocan más a las recopilación/observación de los datos demográficos que a la obtención de información genética. No obstante, las amenazas genéticas para la supervivencia y recuperación de especies se indican como un importante factor minoritario (22 %) en los planes de recuperación, si bien la respuesta a esas amenazas mediante medidas de gestión o recuperación específicas es poco uniforme. Los resultados apuntan a que se necesitan unas directrices más claras para determinar cómo y cuándo resulta más útil la información genética para la recuperación de especies; hemos resaltado contextos concretos en los que la genética puede proporcionar una valiosísima fuente de información para la gestión de esas cuestiones, superior a la que se pueda obtener a partir de otros datos
Exactly solvable interacting vertex models
We introduce and solvev a special family of integrable interacting vertex
models that generalizes the well known six-vertex model. In addition to the
usual nearest-neighbor interactions among the vertices, there exist extra
hard-core interactions among pair of vertices at larger distances.The
associated row-to-row transfer matrices are diagonalized by using the recently
introduced matrix product {\it ansatz}. Similarly as the relation of the
six-vertex model with the XXZ quantum chain, the row-to-row transfer matrices
of these new models are also the generating functions of an infinite set of
commuting conserved charges. Among these charges we identify the integrable
generalization of the XXZ chain that contains hard-core exclusion interactions
among the spins. These quantum chains already appeared in the literature. The
present paper explains their integrability.Comment: 20 pages, 3 figure
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