3,365 research outputs found
Regularity of the speed of biased random walk in a one-dimensional percolation model
We consider biased random walks on the infinite cluster of a conditional bond
percolation model on the infinite ladder graph. Axelsson-Fisk and H\"aggstr\"om
established for this model a phase transition for the asymptotic linear speed
of the walk. Namely, there exists some critical value
such that if and if
.
We show that the speed is continuous in on
the interval and differentiable on
. Moreover, we characterize the derivative as a
covariance. For the proof of the differentiability of
on , we require and prove a central limit theorem
for the biased random walk. Additionally, we prove that the central limit
theorem fails to hold for
Sublimation Temperature of Circumstellar Dust Particles and Its Importance for Dust Ring Formation
Dust particles in orbit around a star drift toward the central star by the
Poynting-Robertson effect and pile up by sublimation. We analytically derive
the pile-up magnitude, adopting a simple model for optical cross sections. As a
result, we find that the sublimation temperature of drifting dust particles
plays the most important role in the pile-up rather than their optical property
does. Dust particles with high sublimation temperature form a significant dust
ring, which could be found in the vicinity of the sun through in-situ
spacecraft measurements. While the existence of such a ring in a debris disk
could not be identified in the spectral energy distribution (SED), the size of
a dust-free zone shapes the SED. Since we analytically obtain the location and
temperature of sublimation, these analytical formulae are useful to find such
sublimation evidences.Comment: 9 pages, 5 figures, to be published in Earth Planets Spac
Turbulent spectra in real-time gauge field evolution
We investigate ultraviolet fixed points in the real-time evolution of
non-Abelian gauge fields. Classical-statistical lattice simulations reveal
equal-time correlation functions with a spectral index 3/2. Analytical
understanding of this result is achieved by employing a 2PI- loop expansion for
the quantum theory.Comment: 4 pages, 2 figures. Talk presented at SEWM 2008, August 26-29,
Amsterda
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