81,422 research outputs found
Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise
The Generalized Langevin Equation, in history, arises as a natural fix for
the rather traditional Langevin equation when the random force is no longer
memoryless. It has been proved that with fractional Gaussian noise (fGn) mostly
considered by biologists, the overdamped Generalized Langevin equation
satisfying fluctuation-dissipation theorem can be written as a fractional
stochastic differential equation (FSDE). While the ergodicity is clear for
linear forces, it remains less transparent for nonlinear forces. In this work,
we present both a direct and a fast algorithm respectively to this FSDE model.
The strong orders of convergence are proved for both schemes, where the role of
the memory effects can be clearly observed. We verify the convergence theorems
using linear forces, and then present the ergodicity study of the double well
potentials in both 1D and 2D setups
Massive Quiescent Cores in Orion: VI. The Internal Structures and a Candidate of Transiting Core in NGC 2024 Filament
We present a multi-wavelength observational study of the NGC 2024 filament
using infrared to sub-millimeter continuum and the NH and
inversion transitions centered on FIR-3, the most massive core therein. FIR-3
is found to have no significant infrared point sources in the Spitzer/IRAC
bands. But the NH kinetic temperature map shows a peak value at the core
center with K which is significantly higher than the surrounding
level ( K). Such internal heating signature without an
infrared source suggests an ongoing core collapse possibly at a transition
stage from first hydrostatic core (FHSC) to protostar. The eight dense cores in
the filament have dust temperatures between 17.5 and 22 K. They are much cooler
than the hot ridge ( K) around the central heating star IRS-2b.
Comparison with a dust heating model suggests that the filament should have a
distance of pc from IRS-2b. This value is much larger than the spatial
extent of the hot ridge, suggesting that the filament is spatially separated
from the hot region along the line of sight.Comment: 20 pages, 7 figures, 6 tables. Accepted to Ap
A Survey on Monochromatic Connections of Graphs
The concept of monochromatic connection of graphs was introduced by Caro and
Yuster in 2011. Recently, a lot of results have been published about it. In
this survey, we attempt to bring together all the results that dealt with it.
We begin with an introduction, and then classify the results into the following
categories: monochromatic connection coloring of edge-version, monochromatic
connection coloring of vertex-version, monochromatic index, monochromatic
connection coloring of total-version.Comment: 26 pages, 3 figure
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