935 research outputs found
On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes
We analyze the influence of reflective boundary conditions on the statistics
of Poisson-Kac diffusion processes, and specifically how they modify the
Poissonian switching-time statistics. After addressing simple cases such as
diffusion in a channel, and the switching statistics in the presence of a
polarization potential, we thoroughly study Poisson-Kac diffusion in fractal
domains. Diffusion in fractal spaces highlights neatly how the modification in
the switching-time statistics associated with reflections against a complex and
fractal boundary induces new emergent features of Poisson-Kac diffusion leading
to a transition from a regular behavior at shorter timescales to emerging
anomalous diffusion properties controlled by walk dimensionality of the fractal
set
Markovian nature, completeness, regularity and correlation properties of Generalized Poisson-Kac processes
We analyze some basic issues associated with Generalized Poisson-Kac (GPK)
stochastic processes, starting from the extended notion of the Markovian
condition. The extended Markovian nature of GPK processes is established, and
the implications of this property derived: the associated adjoint formalism for
GPK processes is developed essentially in an analogous way as for the
Fokker-Planck operator associated with Langevin equations driven by Wiener
processes. Subsequently, the regularity of trajectories is addressed: the
occurrence of fractality in the realizations of GPK is a long-term emergent
property, and its implication in thermodynamics is discussed. The concept of
completeness in the stochastic description of GPK is also introduced. Finally,
some observations on the role of correlation properties of noise sources and
their influence on the dynamic properties of transport phenomena are addressed,
using a Wiener model for comparison
Stochastic foundations of undulatory transport phenomena: Generalized Poisson-Kac processes - Part II Irreversibility, Norms and Entropies
In this second part, we analyze the dissipation properties of Generalized
Poisson-Kac (GPK) processes, considering the decay of suitable -norms and
the definition of entropy functions. In both cases, consistent energy
dissipation and entropy functions depend on the whole system of primitive
statistical variables, the partial probability density functions , while the corresponding energy
dissipation and entropy functions based on the overall probability density
do not satisfy monotonicity requirements as a function of time.
Examples from chaotic advection (standard map coupled to stochastic GPK
processes) illustrate this phenomenon. Some complementary physical issues are
also addressed: the ergodicity breaking in the presence of attractive
potentials, and the use of GPK perturbations to mollify stochastic field
equations
Stochastic foundations of undulatory transport phenomena: Generalized Poisson-Kac processes - Part I Basic theory
This article introduces the notion of Generalized Poisson-Kac (GPK) processes
which generalize the class of "telegrapher's noise dynamics" introduced by Marc
Kac in 1974, usingPoissonian stochastic perturbations. In GPK processes the
stochastic perturbation acts as a switching amongst a set of stochastic
velocity vectors controlled by a Markov-chain dynamics. GPK processes possess
trajectory regularity (almost everywhere) and asymptotic Kac limit, namely the
convergence towards Brownian motion (and to stochastic dynamics driven by
Wiener perturbations), which characterizes also the long-term/long-distance
properties of these processes. In this article we introduce the structural
properties of GPK processes, leaving all the physical implications to part II
and part III
Extracellular vesicles: development of isolation methods and analysis in erythroid ribosomal stress
Coronal mass ejections from the same active region cluster: Two different perspectives
The cluster formed by active regions (ARs) NOAA 11121 and 11123,
approximately located on the solar central meridian on 11 November 2010, is of
great scientific interest. This complex was the site of violent flux emergence
and the source of a series of Earth-directed events on the same day. The onset
of the events was nearly simultaneously observed by the Atmospheric Imaging
Assembly (AIA) telescope aboard the Solar Dynamics Observatory (SDO) and the
Extreme-Ultraviolet Imagers (EUVI) on the Sun-Earth Connection Coronal and
Heliospheric Investigation (SECCHI) suite of telescopes onboard the
Solar-Terrestrial Relations Observatory (STEREO) twin spacecraft. The
progression of these events in the low corona was tracked by the Large Angle
Spectroscopic Coronagraphs (LASCO) onboard the Solar and Heliospheric
Observatory (SOHO) and the SECCHI/COR coronagraphs on STEREO. SDO and SOHO
imagers provided data from the Earth's perspective, whilst the STEREO twin
instruments procured images from the orthogonal directions. This spatial
configuration of spacecraft allowed optimum simultaneous observations of the AR
cluster and the coronal mass ejections that originated in it. Quadrature
coronal observations provided by STEREO revealed a notably large amount of
ejective events compared to those detected from Earth's perspective.
Furthermore, joint observations by SDO/AIA and STEREO/SECCHI EUVI of the source
region indicate that all events classified by GOES as X-ray flares had an
ejective coronal counterpart in quadrature observations. These results have
direct impact on current space weather forecasting because of the probable
missing alarms when there is a lack of solar observations in a view direction
perpendicular to the Sun-Earth line.Comment: Solar Physics - Accepted for publication 2015-Apr-25 v2: Corrected
metadat
Brand Equity Evolution: a System Dynamics Model
One of the greatest challenges in brand management lies in monitoring brand equity over time. This paper aimsto present a simulation model able to represent this evolution. The model was drawn on brand equity concepts developed by Aaker and Joachimsthaler (2000), using the system dynamics methodology. The use ofcomputational dynamic models aims to create new sources of information able to sensitize academics and managers alike to the dynamic implications of their brand management. As a result, an easily implementable model was generated, capable of executing continuous scenario simulations by surveying casual relations among the variables that explain brand equity. Moreover, the existence of a number of system modeling tools will allow extensive application of the concepts used in this study in practical situations, both in professional and educational setting
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