33,078 research outputs found
Inclusive and effective bulk viscosities in the hadron gas
We estimate the temperature dependence of the bulk viscosity in a
relativistic hadron gas. Employing the Green-Kubo formalism in the SMASH
(Simulating Many Accelerated Strongly-interacting Hadrons) transport approach,
we study different hadronic systems in increasing order of complexity. We
analyze the (in)validity of the single exponential relaxation ansatz for the
bulk-channel correlation function and the strong influence of the resonances
and their lifetimes. We discuss the difference between the inclusive bulk
viscosity of an equilibrated, long-lived system, and the effective bulk
viscosity of a short-lived mixture like the hadronic phase of relativistic
heavy-ion collisions, where the processes whose inverse relaxation rate are
larger than the fireball duration are excluded from the analysis. This
clarifies the differences between previous approaches which computed the bulk
viscosity including/excluding the very slow processes in the hadron gas. We
compare our final results with previous hadron gas calculations and confirm a
decreasing trend of the inclusive bulk viscosity over entropy density as
temperature increases, whereas the effective bulk viscosity to entropy ratio,
while being lower than the inclusive one, shows no strong dependence to
temperature.Comment: 23 pages, 13 figure
Finite size scaling of the bayesian perceptron
We study numerically the properties of the bayesian perceptron through a
gradient descent on the optimal cost function. The theoretical distribution of
stabilities is deduced. It predicts that the optimal generalizer lies close to
the boundary of the space of (error-free) solutions. The numerical simulations
are in good agreement with the theoretical distribution. The extrapolation of
the generalization error to infinite input space size agrees with the
theoretical results. Finite size corrections are negative and exhibit two
different scaling regimes, depending on the training set size. The variance of
the generalization error vanishes for confirming the
property of self-averaging.Comment: RevTeX, 7 pages, 7 figures, submitted to Phys. Rev.
Decoherence at constant excitation
We present a simple exactly solvable extension of of the Jaynes-Cummings
model by adding dissipation. This is done such that the total number of
excitations is conserved. The Liouville operator in the resulting master
equation can be reduced to blocks of matrices
On the relation of the gravitino mass and the GUT parameters
In this article we consider the local supersymmetry breaking and the broken
SU(5) symmetry permisible by dilaton vacuum configuration in supergravity
theories. We establish the parameter relation of spontaneuos breaking of
supersymmetry and of the GUT theory.Comment: 12 pages, file written in Revtex forma
Report of IAU Commission 30 on Radial Velocities (2006-2009)
Brief summaries are given on the following subjects: Radial velocities and
exoplanets (Toward Earth-mass planets; Retired A stars and their planets;
Current status and prospects); Toward higher radial velocity precision; Radial
velocities and asteroseismology; Radial velocities in Galactic and
extragalactic clusters; Radial velocities for field giants; Galactic structure
-- Large surveys (The Geneva-Copenhagen Survey; Sloan Digital Sky Survey;
RAVE); Working groups (WG on radial velocity standards; WG on stellar radial
velocity bibliography; WG on the catalogue of orbital elements of spectroscopic
binaries [SB9]).Comment: 11 pages, to appear in the IAU Transactions Vol. XXVIIA, Reports on
Astronomy 2006-2009, ed. Karel van der Hucht. Editor: G. Torre
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