573 research outputs found
Scaling properties in off equilibrium dynamical processes
In the present paper, we analyze the consequences of scaling hypotheses on
dynamic functions, as two times correlations . We show, under general
conditions, that must obey the following scaling behavior , where the scaling variable is
and , two
undetermined functions. The presence of a non constant exponent
signals the appearance of multiscaling properties in the dynamics.Comment: 6 pages, no figure
Localization properties of the anomalous diffusion phase in the directed trap model and in the Sinai diffusion with bias
We study the anomalous diffusion phase with which
exists both in the Sinai diffusion at small bias, and in the related directed
trap model presenting a large distribution of trapping time . Our starting point is the Real Space Renormalization method in
which the whole thermal packet is considered to be in the same renormalized
valley at large time : this assumption is exact only in the limit
and corresponds to the Golosov localization. For finite , we thus
generalize the usual RSRG method to allow for the spreading of the thermal
packet over many renormalized valleys. Our construction allows to compute exact
series expansions in of all observables : at order , it is
sufficient to consider a spreading of the thermal packet onto at most
traps in each sample, and to average with the appropriate measure over the
samples. For the directed trap model, we show explicitly up to order
how to recover the diffusion front, the thermal width, and the localization
parameter . We moreover compute the localization parameters for
arbitrary
, the correlation function of two particles, and the generating function
of thermal cumulants. We then explain how these results apply to the Sinai
diffusion with bias, by deriving the quantitative mapping between the
large-scale renormalized descriptions of the two models.Comment: 33 pages, 3 eps figure
Aging dynamics of heterogeneous spin models
We investigate numerically the dynamics of three different spin models in the
aging regime. Each of these models is meant to be representative of a distinct
class of aging behavior: coarsening systems, discontinuous spin glasses, and
continuous spin glasses. In order to study dynamic heterogeneities induced by
quenched disorder, we consider single-spin observables for a given disorder
realization. In some simple cases we are able to provide analytical predictions
for single-spin response and correlation functions.
The results strongly depend upon the model considered. It turns out that, by
comparing the slow evolution of a few different degrees of freedom, one can
distinguish between different dynamic classes. As a conclusion we present the
general properties which can be induced from our results, and discuss their
relation with thermometric arguments.Comment: 39 pages, 36 figure
Can we Determine Electric Fields and Poynting Fluxes from Vector Magnetograms and Doppler Measurements?
The availability of vector magnetogram sequences with sufficient accuracy and
cadence to estimate the time derivative of the magnetic field allows us to use
Faraday's law to find an approximate solution for the electric field in the
photosphere, using a Poloidal-Toroidal Decomposition (PTD) of the magnetic
field and its partial time derivative. Without additional information, however,
the electric field found from this technique is under-determined -- Faraday's
law provides no information about the electric field that can be derived the
gradient of a scalar potential. Here, we show how additional information in the
form of line-of-sight Doppler flow measurements, and motions transverse to the
line-of-sight determined with ad-hoc methods such as local correlation
tracking, can be combined with the PTD solutions to provide much more accurate
solutions for the solar electric field, and therefore the Poynting flux of
electromagnetic energy in the solar photosphere. Reliable, accurate maps of the
Poynting flux are essential for quantitative studies of the buildup of magnetic
energy before flares and coronal mass ejections.Comment: Solar Physics, in press. 14 pages, 3 figure
Crossover from two- to three-dimensional critical behavior for nearly antiferromagnetic itinerant electrons
The crossover from two- to three-dimensional critical behavior of nearly
antiferromagnetic itinerant electrons is studied in a regime where the
inter-plane single-particle motion of electrons is quantum-mechanically
incoherent because of thermal fluctuations. This is a relevant regime for very
anisotropic materials like the cuprates. The problem is studied within the
Two-Particle Self-Consistent approach (TPSC), that has been previously shown to
give a quantitative description of Monte Carlo data for the Hubbard model. It
is shown that TPSC belongs to the limit of the universality class. However, contrary to the usual approaches,
cutoffs appear naturally in the microscopic TPSC theory so that parameter-free
calculations can be done for Hubbard models with arbitrary band structure. A
general discussion of universality in the renormalized-classical crossover from
to is also given.Comment: Revtex, 23 pages + 6 postcript figures (with epsfile
Effects of Pore Walls and Randomness on Phase Transitions in Porous Media
We study spin models within the mean field approximation to elucidate the
topology of the phase diagrams of systems modeling the liquid-vapor transition
and the separation of He--He mixtures in periodic porous media. These
topologies are found to be identical to those of the corresponding random field
and random anisotropy spin systems with a bimodal distribution of the
randomness. Our results suggest that the presence of walls (periodic or
otherwise) are a key factor determining the nature of the phase diagram in
porous media.Comment: REVTeX, 11 eps figures, to appear in Phys. Rev.
Finite Number and Finite Size Effects in Relativistic Bose-Einstein Condensation
Bose-Einstein condensation of a relativistic ideal Bose gas in a rectangular
cavity is studied. Finite size corrections to the critical temperature are
obtained by the heat kernel method. Using zeta-function regularization of
one-loop effective potential, lower dimensional critical temperatures are
calculated. In the presence of strong anisotropy, the condensation is shown to
occur in multisteps. The criteria of this behavior is that critical
temperatures corresponding to lower dimensional systems are smaller than the
three dimensional critical temperature.Comment: 18 pages, 9 figures, Fig.3 replaced, to appear in Physical Review
Depinning of semiflexible polymers in (1+1) dimensions
We present a theoretical analysis of a simple model of the depinning of an
anchored semiflexible polymer from a fixed planar substrate in (1+1)
dimensions. We consider a polymer with a discrete sequence of pinning sites
along its contour. Using the scaling properties of the conformational
distribution function in the stiff limit and applying the necklace model of
phase transitions in quasi-one-dimensional systems, we obtain a melting
criterion in terms of the persistence length, the spacing between pinning
sites, a microscopic effective length which characterizes a bond, and the bond
energy. The limitations of this and other similar approaches are also
discussed. In the case of force-induced unbinding, it is shown that the bending
rigidity favors the unbinding through a ``lever-arm effect''
A white humpback whale (Megaptera novaeangliae) in the Atlantic Ocean, Svalbard, Norway, August 2012
A white humpback whale (Megaptera novaeangliae) was observed on several occasions off Svalbard, Norway, during August 2012. The animal was completely white, except for a few small dark patches on the ventral side of its fluke. The baleen plates were light-coloured, but the animal's eyes had normal (dark) colouration. This latter characteristic indicates that the animal was not an albino; it was a leucistic individual. The animal was a full-sized adult and was engaged in “bubble-feeding”, together with 15–20 other humpback whales, each time it was seen. Subsequent to these sightings, polling of the marine mammal science community has resulted in the discovery of two other observations of white humpback whales in the Barents Sea area, one in 2004 and another in 2006; in both cases the observed individuals were adult animals. It is likely that all of these sightings are of the same individual, but there is no genetic or photographic evidence to confirm this suggestion. The rarity of observations of such white individuals suggests that they are born at very low frequencies or that the ontogenetic survival rates of the colour morph are low
Escaping from cycles through a glass transition
A random walk is performed over a disordered media composed of sites
random and uniformly distributed inside a -dimensional hypercube. The walker
cannot remain in the same site and hops to one of its neighboring sites
with a transition probability that depends on the distance between sites
according to a cost function . The stochasticity level is parametrized by
a formal temperature . In the case , the walk is deterministic and
ergodicity is broken: the phase space is divided in a number of
attractor basins of two-cycles that trap the walker. For , analytic
results indicate the existence of a glass transition at as . Below , the average trapping time in two-cycles diverges and
out-of-equilibrium behavior appears. Similar glass transitions occur in higher
dimensions choosing a proper cost function. We also present some results for
the statistics of distances for Poisson spatial point processes.Comment: 11 pages, 4 figure
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