29,243 research outputs found
Self-similar solutions for a superdiffusive heat equation with gradient nonlinearity
This paper is devoted to global well-posedness, self-similarity and
symmetries of solutions for a superdiffusive heat equation with superlinear and
gradient nonlinear terms with initial data in new homogeneous Besov-Morrey type
spaces. Unlike the heat equation, we need to develop an appropriate
decomposition of the two-parametric Mittag-Leffler function in order to obtain
Mikhlin-type estimates get our well-posedness theorem. To the best of our
knowledge, the present work is the first one concerned with a well-posedness
theory for a time-fractional partial differential equations of order
with non null initial velocity
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams
In this paper, we proposed a stochastic model which describes two species of
particles moving in counterflow. The model generalizes the theoretical
framework describing the transport in random systems since particles can work
as mobile obstacles, whereas particles of one species move in opposite
direction to the particles of the other species, or they can work as fixed
obstacles remaining in their places during the time evolution. We conducted a
detailed study about the statistics concerning the crossing time of particles,
as well as the effects of the lateral transitions on the time required to the
system reaches a state of complete geographic separation of species. The
spatial effects of jamming were also studied by looking into the deformation of
the concentration of particles in the two-dimensional corridor. Finally, we
observed in our study the formation of patterns of lanes which reach the steady
state regardless the initial conditions used for the evolution. A similar
result is also observed in real experiments involving charged colloids motion
and simulations of pedestrian dynamics based on Langevin equations, when
periodic boundary conditions are considered (particles counterflow in a ring
symmetry). The results obtained through Monte Carlo numerical simulations and
numerical integrations are in good agreement with each other. However,
differently from previous studies, the dynamics considered in this work is not
Newton-based, and therefore, even artificial situations of self-propelled
objects should be studied in this first-principle modeling.Comment: 27 pages, 13 figure
Equality of symmetrized tensors and the coordinate ring of the flag variety
In this note we give a transparent proof of a result of da Cruz and Dias da
Silva on the equality of symmetrized decomposable tensors. This will be done by
explaining that their result follows from the fact that the coordinate ring of
a flag variety is a unique factorization domain.Comment: 5 page
The extended minimal geometric deformation of SU() dark glueball condensates
The extended minimal geometric deformation (EMGD) procedure, in the
holographic membrane paradigm, is employed to model stellar distributions that
arise upon self-interacting scalar glueball dark matter condensation. Such
scalar glueballs are SU() Yang-Mills hidden sectors beyond the Standard
Model. Then, corrections to the gravitational wave radiation, emitted by
SU() EMGD dark glueball stars mergers, are derived, and their respective
spectra are studied in the EMGD framework, due to a phenomenological brane
tension with finite value. The bulk Weyl fluid that drives the EMGD is then
proposed to be experimentally detected by enhanced windows at the eLISA and
LIGO.Comment: 9 pages, 7 figure
Extended quantum portrait of MGD black holes and information entropy
The extended minimal geometric deformation (EMGD) is employed on the fluid
membrane paradigm, to describe compact stellar objects as Bose--Einstein
condensates (BEC) consisting of gravitons. The black hole quantum portrait,
besides deriving a preciser phenomenological bound for the fluid brane tension,
is then scrutinized from the point of view of the configurational entropy. It
yields a range for the critical density of the EMGD BEC, whose configurational
entropy has global minima suggesting the configurational stability of the EMGD
BEC.Comment: 9 pages, 7 figures, matches the published versio
A comparative study of the dynamic critical behavior of the four-state Potts like models
We investigate the short-time critical dynamics of the Baxter-Wu (BW) and
Turban (3TU) models to estimate their global persistence exponent . We conclude that this new dynamical exponent can be useful in detecting
differences between the critical behavior of these models which are very
difficult to obtain in usual simulations. In addition, we estimate again the
dynamical exponents of the four-state Potts (FSP) model in order to compare
them with results previously obtained for the BW and 3TU models and to decide
between two sets of estimates presented in the current literature. We also
revisit the short-time dynamics of the 3TU model in order to check if, as
already found for the FSP model, the anomalous dimension of the initial
magnetization could be equal to zero
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