2,732,398 research outputs found
Asymptotic statistics of the n-sided planar Voronoi cell: II. Heuristics
We develop a set of heuristic arguments to explain several results on planar
Poisson-Voronoi tessellations that were derived earlier at the cost of
considerable mathematical effort. The results concern Voronoi cells having a
large number n of sides. The arguments start from an entropy balance applied to
the arrangement of n neighbors around a central cell. It is followed by a
simplified evaluation of the phase space integral for the probability p_n that
an arbitrary cell be n-sided. The limitations of the arguments are indicated.
As a new application we calculate the expected number of Gabriel (or full)
neighbors of an n-sided cell in the large-n limit.Comment: 22 pages, 10 figure
Modular Groups of Quantum Fields in Thermal States
For a quantum field in a thermal equilibrium state we discuss the group
generated by time translations and the modular action associated with an
algebra invariant under half-sided translations. The modular flows associated
with the algebras of the forward light cone and a space-like wedge admit a
simple geometric description in two dimensional models that factorize in
light-cone coordinates. At large distances from the domain boundary compared to
the inverse temperature the flow pattern is essentially the same as time
translations, whereas the zero temperature results are approximately reproduced
close to the edge of the wedge and the apex of the cone. Associated with each
domain there is also a one parameter group with a positive generator, for which
the thermal state is a ground state. Formally, this may be regarded as a
certain converse of the Unruh-effect.Comment: 28 pages, 4 figure
Stochastic Biasing and Galaxy-Mass Density Relation in the Weakly Non-linear Regime
It is believed that the biasing of the galaxies plays an important role for
understanding the large-scale structure of the universe. In general, the
biasing of galaxy formation could be stochastic. Furthermore, the future galaxy
survey might allow us to explore the time evolution of the galaxy distribution.
In this paper, the analytic study of the galaxy-mass density relation and its
time evolution is presented within the framework of the stochastic biasing. In
the weakly non-linear regime, we derive a general formula for the galaxy-mass
density relation as a conditional mean using the Edgeworth expansion. The
resulting expression contains the joint moments of the total mass and galaxy
distributions. Using the perturbation theory, we investigate the time evolution
of the joint moments and examine the influence of the initial stochasticity on
the galaxy-mass density relation. The analysis shows that the galaxy-mass
density relation could be well-approximated by the linear relation. Compared
with the skewness of the galaxy distribution, we find that the estimation of
the higher order moments using the conditional mean could be affected by the
stochasticity. Therefore, the galaxy-mass density relation as a conditional
mean should be used with a caution as a tool for estimating the skewness and
the kurtosis.Comment: 22 pages, 7 Encapusulated Postscript Figures, aastex, The title and
the structure of the paper has been changed, Results and conclusions
unchanged, Accepted for publication in Ap
RG flow of the Polyakov-loop potential: First status report
We study SU(2) Yang-Mills theory at finite temperature in the framework of
the functional renormalization group. We concentrate on the effective potential
for the Polyakov loop which serves as an order parameter for confinement. In
this first status report, we focus on the behaviour of the effective
Polyakov-loop potential at high temperatures. In addition to the standard
perturbative result, our findings provide information about the ``RG improved''
backreactions of Polyakov-loop fluctuations on the potential. We demonstrate
that these fluctuations establish the convexity of the effective potential.Comment: 10 pages, 2 figure
Effect of Diethylenetriamine and Triethylamine sensitization on the critical diameter of Nitromethane
In this work, the critical diameter for detonation was measured for Nitromethane (NM) sensitized with two different amines: Diethylenetriamine (DETA) and Triethylamine (TEA). The critical diameter in glass and polyvinylchloride tubes is found to decrease rapidly as the amount of sensitizer is increased, then increase past a critical amount of sensitizer. Thus the critical diameter reaches a minimum at a critical concentration of sensitizer. It was also found that the critical diameter is lower with DETA than with TEA
Obtaining Au thin films in atmosphere of reactive nitrogen through magnetron sputtering
4d and 5d series of the transition metals are used to the obtaining nitrides metallic, due to the synthesis of PtN, AgN and AuN in the last years. Different nitrides are obtained in the Plasma Assisted Physics Vapour Deposition system, due to its ionization energy which is necessary for their formation. In this paper a Magnetron Sputtering system was used to obtain Au thin films on Si wafers in Nitrogen atmosphere. The substrate temperature was varied between 500 to 950°C. The samples obtained at high temperatures (>500°C) show Au, Si and N elements, as it is corroborated in the narrow spectrum obtained for X-Ray Photoelectron Spectroscopy; besides the competition of orientation crystallographic texture between (111) and (311) directions was present in the X-Ray Diffraction analysis to the sample heated at 950°C
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