1,891 research outputs found
Superstatistics from a different perspective
In this paper we elaborate on the recently proposed superstatistics formalism
[C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)], used to interpret
unconventional statistics. Their interpretation is that unconventional
statistics in dynamical systems arise as weighted averages of the ordinary
statistics obeyed by these systems over a statistical distribution of
background configurations due to fluctuations intrinsic to the background. In
this paper we suggest that the same picture can arise because of the intrinsic
dynamics of the system. The dynamics of the system and the background, hence,
concur together to determine the overall final statistics: differently evolving
systems embedded within the same background can yield different statistical
distributions. Some simple examples are provided; among them a toy model able
to yield a power-law distribution. Also, some recent independent results are
quoted, that appear to support this viewpoint.Comment: 10 pages. Final version to appear in Physica
Bayesian approach to superstatistics
The superstatistics approach recently introduced by Beck [C. Beck and E.G.D.
Cohen, Physica A 322, 267 (2003)] is a formalism that aims to deal in a
unifying way with a large variety of complex nonequilibrium systems, for which
spatio-temporal fluctuations of one intensive variable (the "temperature" 1/b)
are supposed to exist. The intuitive explanation provided by Beck for
superstatistics is based on the ansatz that the system under consideration,
during its evolution, travels within its phase space which is partitioned into
cells. Within each cell, the system is described by ordinary Maxwell-Boltzmann
statistical mechanics, i.e., its statistical distribution is the canonical one,
but b varies from cell to cell, with its own probability density f(b). In this
work we first address that the explicit inclusion of the density of states in
this description is essential for its correctness. The correction is not
relevant for developments of the theory, but points to the fact that its
correct starting point, as well its meaning, must be found at a more basic
level: the pure probability product rule involving the intensive variable b and
its conjugate extensive one. The question therefore arises how to assign a
meaning to these probabilities for each specific problem. We will see that it
is easily answered through Bayesian analysis. This way, we are able to provide
an interpretation for f(b), that was not fully elucidated till now.Comment: 13 pages. To be published in The European Physics Journal
Further study of the Over-Barrier Model to compute charge exchange processes
In this paper we study theoretically the process of electron capture between
one-optical-electron atoms (e.g. hydrogenlike or alkali atoms) and ions at
low-to-medium impact velocities () working on a modification
of an already developed classical In this work we present an improvement over
the Over Barrier Model (OBM) described in a recent paper [F. Sattin, Phys. Rev.
A {\bf 62}, 042711 (2000)]. We show that: i) one of the two free parameters
there introduced actually comes out consistently from the starting assumptions
underlying the model; ii) the modified model thus obtained is as much accurate
as the former one. Furthermore, we show that OBMs are able to accurately
predict some recent results of state selective electron capture, at odds with
what previously supposed.Comment: RevTeX, 7 pages, 4 eps figures. To appear in Physical Review A
(2001-september issue
SWKB for the Angular Momentum
In this paper we solve the eigenvalue problem of the angular momentum
operator by using the supersymmetric semiclassical quantum mechanics (SWKB),
and show that it gives the correct quantization already at the leading order.Comment: latex, 9 pages, no figures, to be published in Modern Physics Letters
Chaos in coplanar classical collisions with particles interacting through forces
The scattering among three particles interacting through forces, with
opposite charges and widely different masses, is studied in a coplanar
geometry. The present work shows that at low impact velocities the output of
the collision presents typical fingerprints of chaos. The details of the
process are investigated.Comment: ReVTeX (uses epsf), 8 pages, 5 figs. To be published as a Brief
Report in Phys. Rev.
- âŠ