968 research outputs found
Nonlinear structures: explosive, soliton and shock in a quantum electron-positron-ion magnetoplasma
Theoretical and numerical studies are performed for the nonlinear structures
(explosive, solitons and shock) in quantum electron-positron-ion
magnetoplasmas. For this purpose, the reductive perturbation method is employed
to the quantum hydrodynamical equations and the Poisson equation, obtaining
extended quantum Zakharov-Kuznetsov equation. The latter has been solved using
the generalized expansion method to obtain a set of analytical solutions, which
reflect the possibility of the propagation of various nonlinear structures. The
relevance of the present investigation to the white dwarfs is highlighted.Comment: 7 figure
Functional Sequential Treatment Allocation
Consider a setting in which a policy maker assigns subjects to treatments,
observing each outcome before the next subject arrives. Initially, it is
unknown which treatment is best, but the sequential nature of the problem
permits learning about the effectiveness of the treatments. While the
multi-armed-bandit literature has shed much light on the situation when the
policy maker compares the effectiveness of the treatments through their mean,
much less is known about other targets. This is restrictive, because a cautious
decision maker may prefer to target a robust location measure such as a
quantile or a trimmed mean. Furthermore, socio-economic decision making often
requires targeting purpose specific characteristics of the outcome
distribution, such as its inherent degree of inequality, welfare or poverty. In
the present paper we introduce and study sequential learning algorithms when
the distributional characteristic of interest is a general functional of the
outcome distribution. Minimax expected regret optimality results are obtained
within the subclass of explore-then-commit policies, and for the unrestricted
class of all policies
Population Monte Carlo algorithms
We give a cross-disciplinary survey on ``population'' Monte Carlo algorithms.
In these algorithms, a set of ``walkers'' or ``particles'' is used as a
representation of a high-dimensional vector. The computation is carried out by
a random walk and split/deletion of these objects. The algorithms are developed
in various fields in physics and statistical sciences and called by lots of
different terms -- ``quantum Monte Carlo'', ``transfer-matrix Monte Carlo'',
``Monte Carlo filter (particle filter)'',``sequential Monte Carlo'' and
``PERM'' etc. Here we discuss them in a coherent framework. We also touch on
related algorithms -- genetic algorithms and annealed importance sampling.Comment: Title is changed (Population-based Monte Carlo -> Population Monte
Carlo). A number of small but important corrections and additions. References
are also added. Original Version is read at 2000 Workshop on
Information-Based Induction Sciences (July 17-18, 2000, Syuzenji, Shizuoka,
Japan). No figure
Kolmogorov-Sinai entropy in field line diffusion by anisotropic magnetic turbulence
The Kolmogorov-Sinai (KS) entropy in turbulent diffusion of magnetic field
lines is analyzed on the basis of a numerical simulation model and theoretical
investigations. In the parameter range of strongly anisotropic magnetic
turbulence the KS entropy is shown to deviate considerably from the earlier
predicted scaling relations [Rev. Mod. Phys. {\bf 64}, 961 (1992)]. In
particular, a slowing down logarithmic behavior versus the so-called Kubo
number (, where is the ratio of the rms magnetic fluctuation field to the magnetic field
strength, and and are the correlation lengths in respective
dimensions) is found instead of a power-law dependence. These discrepancies are
explained from general principles of Hamiltonian dynamics. We discuss the
implication of Hamiltonian properties in governing the paradigmatic
"percolation" transport, characterized by , associating it with the
concept of pseudochaos (random non-chaotic dynamics with zero Lyapunov
exponents). Applications of this study pertain to both fusion and astrophysical
plasma and by mathematical analogy to problems outside the plasma physics.
This research article is dedicated to the memory of Professor George M.
ZaslavskyComment: 15 pages, 2 figures. Accepted for publication on Plasma Physics and
Controlled Fusio
Beat-wave generation of plasmons in semiconductor plasmas
It is shown that in semiconductor plasmas, it is possible to generate large
amplitude plasma waves by the beating of two laser beams with frequency
difference close to the plasma frequency. For narrow gap semiconductors (for
example n-type InSb), the system can simulate the physics underlying beat wave
generation in relativistic gaseous plasmas.Comment: 11 pages, LaTex, no figures, no macro
Possible Method for Measuring the Proton Form Factors in Processes with and without Proton Spin Flip
The ratio of the squares of the electric and magnetic proton form factors is
shown to be proportional to the ratio of the cross sections for the elastic
scattering of an unpolarized electron on a partially polarized proton with and
without proton spin flip. The initial proton at rest should be polarized along
the direction of the motion of the final proton. Similar results are valid for
both radiative scattering and the photoproduction of pairs on a proton in
the Bethe--Heitler kinematics. When the initial proton is fully polarized in
the direction of the motion of the final proton, the cross section for the process, as well as for the and processes, without (with) proton spin flip is expressed only in terms of
the square of the electric (magnetic) proton form factor. Such an experiment on
the measurement of the cross sections without and with proton spin flip would
make it possible to acquire new independent data on the behavior of
and , which are necessary for resolving the
contradictions appearing after the experiment of the JLab collaboration on the
measurement of the proton form factors with the method of polarization transfer
from the initial electron to the final proton.Comment: 7 pages, revtex
Transport coefficients and ladder summation in hot gauge theories
We show how to compute transport coefficients in gauge theories by
considering the expansion of the Kubo formulas in terms of ladder diagrams in
the imaginary time formalism. All summations over Matsubara frequencies are
performed and the analytical continuation to get the retarded correlators is
done. As an illustration of the procedure, we present a derivation of the
transport equation for the shear viscosity in the scalar theory. Assuming the
Hard Thermal Loop approximation for the screening of distant collisions of the
hard particles in the plasma, we derive a couple of integral equations for the
effective vertices which, to logarithmic accuracy, are shown to be identical to
the linearized Boltzmann equations previously found by Arnold, Moore and Yaffe.Comment: 34 pages, 7 figures v2. Added discussion on box topologies for the
ladder rungs. Version to appear in Phys. Rev.
Scaling of Self-Avoiding Walks in High Dimensions
We examine self-avoiding walks in dimensions 4 to 8 using high-precision
Monte-Carlo simulations up to length N=16384, providing the first such results
in dimensions on which we concentrate our analysis. We analyse the
scaling behaviour of the partition function and the statistics of
nearest-neighbour contacts, as well as the average geometric size of the walks,
and compare our results to -expansions and to excellent rigorous bounds
that exist. In particular, we obtain precise values for the connective
constants, , , ,
and give a revised estimate of . All of
these are by at least one order of magnitude more accurate than those
previously given (from other approaches in and all approaches in ).
Our results are consistent with most theoretical predictions, though in
we find clear evidence of anomalous -corrections for the scaling of
the geometric size of the walks, which we understand as a non-analytic
correction to scaling of the general form (not present in pure
Gaussian random walks).Comment: 14 pages, 2 figure
Tagged-photon events in polarized DIS process
Deep-inelastic events for the scattering of the longitudinally polarized
electron by polarized proton with tagged collinear photon radiated from
initial-state electron are considered. The corresponding cross-section is
derived in the Born approximation. The model-independent radiative corrections
to the Born cross-section are also calculated. Obtained result is applied to
the case of elastic scattering.Comment: 14 pages, 2 figures, submitted to JET
On radiative corrections for unpolarized electron proton elastic scattering
A statistical analysis of the elastic unpolarized electron proton scattering
data shows that, at large momentum transfer, the size and the
dependence of the radiative corrections, as traditionally calculated and
applied, may induce large correlations of the parameters of the Rosenbluth fit,
which prevent a correct extraction of the electric proton form factor. Using
the electron QED structure (radiation) function approach the cross section of
elastic electron-proton scattering in leading and next-to leading
approximations is calculated and expressed as a correction to the Born cross
section, which is different for the electric and the magnetic contribution.
When properly applied to the data, it may give the solution to the problem of
the discrepancy of the polarized and unpolarized results on electron proton
scattering.Comment: 11 pagex, 5 figure
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