13,306 research outputs found
Canonical partition function for anomalous systems described by the -entropy
Starting from the -distribution function, obtained by applying the
maximal entropy principle to the -entropy [G. Kaniadakis, Phys. Rev. E
66 (2002), 056125], we derive the expression of the canonical
-partition function and discuss its main properties. It is shown that
all important macroscopical quantities of the system can be expressed employing
only the -partition function. The relationship between the associated
-free energy and the -entropy is also discussed.Comment: 8 pages, no figures. Work presented at the International conference
Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa
Institute for Theoretical Physics - (14-18 March 2005) Kyoto, Japa
Composition law of -entropy for statistically independent systems
The intriguing and still open question concerning the composition law of
-entropy with and is here
reconsidered and solved. It is shown that, for a statistical system described
by the probability distribution , made up of two statistically
independent subsystems, described through the probability distributions and , respectively, with , the joint entropy
can be obtained starting from the and
entropies, and additionally from the entropic functionals
and , being
the -Napier number. The composition law of the -entropy is
given in closed form, and emerges as a one-parameter generalization of the
ordinary additivity law of Boltzmann-Shannon entropy recovered in the limit.Comment: 14 page
A suggested standardized format for cosmic ray ground-level event data
A standardized format is suggested for the archival storage and exchange of neutron monitor data obtained during solar flare initiated ground level cosmic ray events. Using the data for the 7 May 1978 ground level event, a format has been developed that incorporates hourly data preceding and following the event and small time interval data immediately before and during the event. Provision has been made for the inclusion of uncorrected and corrected data as well as the atmospheric pressure. The cosmic ray intensity data are then reduced to a standard counting rate of counts per second facilitating the graphing and comparison of these data for various analyses
Time-resolved infrared emission from radiation-driven central obscuring structures in Active Galactic Nuclei
The central engines of Seyfert galaxies are thought to be enshrouded by
geometrically thick gas and dust structures. In this article, we derive
observable properties for a self-consistent model of such toroidal gas and dust
distributions, where the geometrical thickness is achieved and maintained with
the help of X-ray heating and radiation pressure due to the central engine.
Spectral energy distributions (SEDs) and images are obtained with the help of
dust continuum radiative transfer calculations with RADMC-3D. For the first
time, we are able to present time-resolved SEDs and images for a physical model
of the central obscurer. Temporal changes are mostly visible at shorter
wavelengths, close to the combined peak of the dust opacity as well as the
central source spectrum and are caused by variations in the column densities of
the generated outflow. Due to the three-component morphology of the
hydrodynamical models -- a thin disc with high density filaments, a surrounding
fluffy component (the obscurer) and a low density outflow along the rotation
axis -- we find dramatic differences depending on wavelength: whereas the
mid-infrared images are dominated by the elongated appearance of the outflow
cone, the long wavelength emission is mainly given by the cold and dense disc
component. Overall, we find good agreement with observed characteristics,
especially for those models, which show clear outflow cones in combination with
a geometrically thick distribution of gas and dust, as well as a geometrically
thin, but high column density disc in the equatorial plane.Comment: 16 pages, 12 figures, accepted for publication in MNRA
Discrete elastic model for stretching-induced flagellar polymorphs
Force-induced reversible transformations between coiled and normal polymorphs
of bacterial flagella have been observed in recent optical-tweezer experiment.
We introduce a discrete elastic rod model with two competing helical states
governed by a fluctuating spin-like variable that represents the underlying
conformational states of flagellin monomers. Using hybrid Brownian dynamics
Monte-Carlo simulations, we show that a helix undergoes shape transitions
dominated by domain wall nucleation and motion in response to externally
applied uniaxial tension. A scaling argument for the critical force is
presented in good agreement with experimental and simulation results.
Stretching rate-dependent elasticity including a buckling instability are
found, also consistent with the experiment
A non self-referential expression of Tsallis' probability distribution function
The canonical probability distribution function (pdf) obtained by optimizing
the Tsallis entropy under the linear mean energy constraint (first formalism)
or the escort mean energy constraint (third formalism) suffer
self-referentiality. In a recent paper [Phys. Lett. A {\bf335} (2005) 351-362]
the authors have shown that the pdfs obtained in the two formalisms are
equivalent to the pdf in non self-referential form. Based on this result we
derive an alternative expression, which is non self-referential, for the
Tsallis distributions in both first and third formalisms.Comment: 3 page
Altitude variations of cosmic-ray soft and hard components observed by airborne detectors
The altitude variations of cosmic-ray total and hard components were measured up to 12,000 m on board a jet liner over Japan island on December, 1981. Observed results together with soft component are presented comparing with the model calculations through the atmosphere by applying the hadronic cascade
The life cycle of starbursting circumnuclear gas discs
High-resolution observations from the sub-mm to the optical wavelength regime
resolve the central few 100pc region of nearby galaxies in great detail. They
reveal a large diversity of features: thick gas and stellar discs, nuclear
starbursts, in- and outflows, central activity, jet interaction, etc.
Concentrating on the role circumnuclear discs play in the life cycles of
galactic nuclei, we employ 3D adaptive mesh refinement hydrodynamical
simulations with the RAMSES code to self-consistently trace the evolution from
a quasi-stable gas disc, undergoing gravitational (Toomre) instability, the
formation of clumps and stars and the disc's subsequent, partial dispersal via
stellar feedback. Our approach builds upon the observational finding that many
nearby Seyfert galaxies have undergone intense nuclear starbursts in their
recent past and in many nearby sources star formation is concentrated in a
handful of clumps on a few 100pc distant from the galactic centre. We show that
such observations can be understood as the result of gravitational
instabilities in dense circumnuclear discs. By comparing these simulations to
available integral field unit observations of a sample of nearby galactic
nuclei, we find consistent gas and stellar masses, kinematics, star formation
and outflow properties. Important ingredients in the simulations are the
self-consistent treatment of star formation and the dynamical evolution of the
stellar distribution as well as the modelling of a delay time distribution for
the supernova feedback. The knowledge of the resulting simulated density
structure and kinematics on pc scale is vital for understanding inflow and
feedback processes towards galactic scales.Comment: accepted by MNRA
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