176 research outputs found
Phase diagram of a probabilistic cellular automaton with three-site interactions
We study a (1+1) dimensional probabilistic cellular automaton that is closely
related to the Domany-Kinzel (DKCA), but in which the update of a given site
depends on the state of {\it three} sites at the previous time step. Thus,
compared with the DKCA, there is an additional parameter, , representing
the probability for a site to be active at time , given that its nearest
neighbors and itself were active at time . We study phase transitions and
critical behavior for the activity {\it and} for damage spreading, using one-
and two-site mean-field approximations, and simulations, for and
. We find evidence for a line of tricritical points in the () parameter space, obtained using a mean-field approximation at pair level.
To construct the phase diagram in simulations we employ the growth-exponent
method in an interface representation. For , the phase diagram is
similar to the DKCA, but the damage spreading transition exhibits a reentrant
phase. For , the growth-exponent method reproduces the two absorbing
states, first and second-order phase transitions, bicritical point, and damage
spreading transition recently identified by Bagnoli {\it et al.} [Phys. Rev.
E{\bf 63}, 046116 (2001)].Comment: 15 pages, 7 figures, submited to PR
Large-scale structure of a nation-wide production network
Production in an economy is a set of firms' activities as suppliers and
customers; a firm buys goods from other firms, puts value added and sells
products to others in a giant network of production. Empirical study is lacking
despite the fact that the structure of the production network is important to
understand and make models for many aspects of dynamics in economy. We study a
nation-wide production network comprising a million firms and millions of
supplier-customer links by using recent statistical methods developed in
physics. We show in the empirical analysis scale-free degree distribution,
disassortativity, correlation of degree to firm-size, and community structure
having sectoral and regional modules. Since suppliers usually provide credit to
their customers, who supply it to theirs in turn, each link is actually a
creditor-debtor relationship. We also study chains of failures or bankruptcies
that take place along those links in the network, and corresponding
avalanche-size distribution.Comment: 17 pages with 8 figures; revised section VI and references adde
Toward an internally consistent astronomical distance scale
Accurate astronomical distance determination is crucial for all fields in
astrophysics, from Galactic to cosmological scales. Despite, or perhaps because
of, significant efforts to determine accurate distances, using a wide range of
methods, tracers, and techniques, an internally consistent astronomical
distance framework has not yet been established. We review current efforts to
homogenize the Local Group's distance framework, with particular emphasis on
the potential of RR Lyrae stars as distance indicators, and attempt to extend
this in an internally consistent manner to cosmological distances. Calibration
based on Type Ia supernovae and distance determinations based on gravitational
lensing represent particularly promising approaches. We provide a positive
outlook to improvements to the status quo expected from future surveys,
missions, and facilities. Astronomical distance determination has clearly
reached maturity and near-consistency.Comment: Review article, 59 pages (4 figures); Space Science Reviews, in press
(chapter 8 of a special collection resulting from the May 2016 ISSI-BJ
workshop on Astronomical Distance Determination in the Space Age
Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
In this paper we study the effects of Lorentz Symmetry Breaking on
thermodynamics properties of ideal gases. Inspired in the dispersion relation
came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and
CPT violation term, we compute the thermodynamics quantities for a Boltzmann,
Fermi-Dirac and Bose-Einstein distributions. Two regimes are analyzed: the non-
relativistic and the relativistic one. In the first case we show that the
topological mass induced by the Chern-Simons term behaves as a chemical
potential. For the Bose-Einstein gases it could be found a condensation in both
regimes, being the appearance of a condensate in the relativistic regime, the
main contribution of this work.Comment: 22 pages, 3 figure
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