439 research outputs found
Quarkonium production via recombination
The contrast between model predictions for the transverse momentum spectra of
J/Psi observed in Au-Au collisions at RHIC is extended to include effects of
nuclear absorption. We find that the difference between initial production and
recombination is enhanced in the most central collisions. Models utilizing a
combination of these sources may eventually be able to place constraints on
their relative magnitudes.Comment: Based on invited plenary talk at the 2nd International Conference on
Hard and Electromagnetic Probes of High-Energy Nuclear Collisions, Asilomar,
CA, June 9-16, 2006, to be published in Nucl. Phys.
Method of constructing exactly solvable chaos
We present a new systematic method of constructing rational mappings as
ergordic transformations with nonuniform invariant measures on the unit
interval [0,1]. As a result, we obtain a two-parameter family of rational
mappings that have a special property in that their invariant measures can be
explicitly written in terms of algebraic functions of parameters and a
dynamical variable. Furthermore, it is shown here that this family is the most
generalized class of rational mappings possessing the property of exactly
solvable chaos on the unit interval, including the Ulam=Neumann map y=4x(1-x).
Based on the present method, we can produce a series of rational mappings
resembling the asymmetric shape of the experimentally obtained first return
maps of the Beloussof-Zhabotinski chemical reaction, and we can match some
rational functions with other experimentally obtained first return maps in a
systematic manner.Comment: 12 pages, 2 figures, REVTEX. Title was changed. Generalized Chebyshev
maps including the precise form of two-parameter generalized cubic maps were
added. Accepted for publication in Phys. Rev. E(1997
Integration and Conventional Systems at STAR
At the beginning of the design and construction of the STAR Detector, the
collaboration assigned a team of physicists and engineers the responsibility of
coordinating the construction of the detector. This group managed the general
space assignments for each sub-system and coordinated the assembly and planning
for the detector. Furthermore, as this group was the only STAR group with the
responsibility of looking at the system as a whole, the collaboration assigned
it several tasks that spanned the different sub-detectors. These items included
grounding, rack layout, cable distribution, electrical, power and water, and
safety systems. This paper describes these systems and their performance.Comment: 17 pages, 6 figures, Contribution to a NIM Volume Dedicated to the
Detectors and the Accelerator at RHI
Geometry of fully coordinated, two-dimensional percolation
We study the geometry of the critical clusters in fully coordinated
percolation on the square lattice. By Monte Carlo simulations (static
exponents) and normal mode analysis (dynamic exponents), we find that this
problem is in the same universality class with ordinary percolation statically
but not so dynamically. We show that there are large differences in the number
and distribution of the interior sites between the two problems which may
account for the different dynamic nature.Comment: ReVTeX, 5 pages, 6 figure
Entropy and the variational principle for actions of sofic groups
Recently Lewis Bowen introduced a notion of entropy for measure-preserving
actions of a countable sofic group on a standard probability space admitting a
generating partition with finite entropy. By applying an operator algebra
perspective we develop a more general approach to sofic entropy which produces
both measure and topological dynamical invariants, and we establish the
variational principle in this context. In the case of residually finite groups
we use the variational principle to compute the topological entropy of
principal algebraic actions whose defining group ring element is invertible in
the full group C*-algebra.Comment: 44 pages; minor changes; to appear in Invent. Mat
Topological entropy and secondary folding
A convenient measure of a map or flow's chaotic action is the topological
entropy. In many cases, the entropy has a homological origin: it is forced by
the topology of the space. For example, in simple toral maps, the topological
entropy is exactly equal to the growth induced by the map on the fundamental
group of the torus. However, in many situations the numerically-computed
topological entropy is greater than the bound implied by this action. We
associate this gap between the bound and the true entropy with 'secondary
folding': material lines undergo folding which is not homologically forced. We
examine this phenomenon both for physical rod-stirring devices and toral linked
twist maps, and show rigorously that for the latter secondary folds occur.Comment: 13 pages, 8 figures. pdfLaTeX with RevTeX4 macro
A Topological Study of Chaotic Iterations. Application to Hash Functions
International audienceChaotic iterations, a tool formerly used in distributed computing, has recently revealed various interesting properties of disorder leading to its use in the computer science security field. In this paper, a comprehensive study of its topological behavior is proposed. It is stated that, in addition to being chaotic as defined in the Devaney's formulation, this tool possesses the property of topological mixing. Additionally, its level of sensibility, expansivity, and topological entropy are evaluated. All of these properties lead to a complete unpredictable behavior for the chaotic iterations. As it only manipulates binary digits or integers, we show that it is possible to use it to produce truly chaotic computer programs. As an application example, a truly chaotic hash function is proposed in two versions. In the second version, an artificial neural network is used, which can be stated as chaotic according to Devaney
Slowly synchronizing automata and digraphs
We present several infinite series of synchronizing automata for which the
minimum length of reset words is close to the square of the number of states.
These automata are closely related to primitive digraphs with large exponent.Comment: 13 pages, 5 figure
Gauge symmetry and the EMC spin effect
We emphasise the EMC spin effect as a problem of symmetry and discuss the
renormalisation of the axial tensor operators. This involves the
generalisation of the Adler-Bell-Jackiw anomaly to each of these operators. We
find that the contribution of the axial anomaly to the spin dependent structure
function scales at . This means that the anomaly
can be a large effect in . Finally we discuss the jet signature of the
anomaly.Comment: 17 pages, Latex, Cavendish preprint HEP 93/
Parity Doubling Among the Baryons
We study the evidence for and possible origins of parity doubling among the
baryons. First we explore the experimental evidence, finding a significant
signal for parity doubling in the non-strange baryons, but little evidence
among strange baryons. Next we discuss potential explanations for this
phenomenon. Possibilities include suppression of the violation of the flavor
singlet axial symmetry () of QCD, which is broken by the triangle
anomaly and by quark masses. A conventional Wigner-Weyl realization of the
chiral symmetry would also result in parity
doubling. However this requires the suppression of families of \emph{chirally
invariant} operators by some other dynamical mechanism. In this scenario the
parity doubled states should decouple from pions. We discuss other explanations
including connections to chiral invariant short distance physics motivated by
large arguments as suggested by Shifman and others, and intrinsic
deformation of relatively rigid highly excited hadrons, leading to parity
doubling on the leading Regge trajectory. Finally we review the spectroscopic
consequences of chiral symmetry using a formalism introduced by Weinberg, and
use it to describe two baryons of opposite parity.Comment: 32 pages, 8 figures; v2 revised and expanded; submitted to Phys. Re
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