6,093 research outputs found
Deuterium fractionation on interstellar grains studied with the direct master equation approach
We have studied deuterium fractionation on interstellar grains with the use
of an exact method known as the direct master equation approach. We consider
conditions pertinent to dense clouds at late times when the hydrogen is mostly
in molecular form and a large portion of the gas-phase carbon has already been
converted to carbon monoxide. Hydrogen, oxygen and deuterium atoms, as well as
CO molecules, are allowed to accrete on to dust particles and react there to
produce various stable molecules. The surface abundances, as well as the
abundance ratios between deuterated and normal isotopomers, are compared with
those calculated with the Monte Carlo approach. We find that the agreement
between the Monte Carlo and the direct master equation methods can be made as
close as desired. Compared with previous examples of the use of the direct
master equation approach, our present method is much more efficient. It should
now be possible to run large-scale gas-grain models in which the diffusive dust
chemistry is handled `exactly'.Comment: 7 pages, 3 figure
Absence of Quantum States Corresponding to Unstable Classical Channels
We consider Hamiltonian systems of a certain class with unstable orbits
moving to infinity. We prove a theorem showing that analogous quantum states do
not exist. This theorem is applied to Schrodinger operators with potentials of
degree zero which are Morse when restricted to the unit sphere
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Do large rate coefficients for ion-polar neutral reactions have a serious effect on chemical models of dense clouds?
In order to incorporate large ion-polar neutral rate coefficients into existing gas phase reaction networks, it is necessary to utilize simplified theoretical treatments because of the significant number of rate coefficients needed. The authors have used two simple theoretical treatments: the locked dipole approach of Moran and Hamill for linear polar neutrals and the trajectory scaling approach of Su and Chesnavich for nonlinear polar neutrals. The former approach is suitable for linear species because in the interstellar medium these are rotationally relaxed to a large extent and the incoming charged reactants can lock their dipoles into the lowest energy configuration. The latter approach is a better approximation for nonlinear neutral species, in which rotational relaxation is normally less severe and the incoming charged reactants are not as effective at locking the dipoles. The treatments are in reasonable agreement with more detailed long range theories and predict an inverse square root dependence on kinetic temperature for the rate coefficient. Compared with the locked dipole method, the trajectory scaling approach results in rate coefficients smaller by a factor of approximately 2.5
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Gas-grain chemistry in cold interstellar cloud cores with a microscopic Monte Carlo approach to surface chemistry
AIM: We have recently developed a microscopic Monte Carlo approach to study
surface chemistry on interstellar grains and the morphology of ice mantles. The
method is designed to eliminate the problems inherent in the rate-equation
formalism to surface chemistry. Here we report the first use of this method in
a chemical model of cold interstellar cloud cores that includes both gas-phase
and surface chemistry. The surface chemical network consists of a small number
of diffusive reactions that can produce molecular oxygen, water, carbon
dioxide, formaldehyde, methanol and assorted radicals. METHOD: The simulation
is started by running a gas-phase model including accretion onto grains but no
surface chemistry or evaporation. The starting surface consists of either flat
or rough olivine. We introduce the surface chemistry of the three species H, O
and CO in an iterative manner using our stochastic technique. Under the
conditions of the simulation, only atomic hydrogen can evaporate to a
significant extent. Although it has little effect on other gas-phase species,
the evaporation of atomic hydrogen changes its gas-phase abundance, which in
turn changes the flux of atomic hydrogen onto grains. The effect on the surface
chemistry is treated until convergence occurs. We neglect all non-thermal
desorptive processes. RESULTS: We determine the mantle abundances of assorted
molecules as a function of time through 2x10^5 yr. Our method also allows
determination of the abundance of each molecule in specific monolayers. The
mantle results can be compared with observations of water, carbon dioxide,
carbon monoxide, and methanol ices in the sources W33A and Elias 16. Other than
a slight underproduction of mantle CO, our results are in very good agreement
with observations.Comment: 13 pages, 7 figures, to be published in A. &
A Variational Approach to the Spinless Relativistic Coulomb Problem
By application of a straightforward variational procedure we derive a simple,
analytic upper bound on the ground-state energy eigenvalue of a
semirelativistic Hamiltonian for (one or two) spinless particles which
experience some Coulomb-type interaction.Comment: 7 pages, HEPHY-PUB 606/9
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