16,123 research outputs found
Lyapunov Exponent and the Solid-Fluid Phase Transition
We study changes in the chaotic properties of a many-body system undergoing a
solid-fluid phase transition. To do this, we compute the temperature dependence
of the largest Lyapunov exponents for both two- and
three-dimensional periodic systems of -particles for various densities. The
particles interact through a soft-core potential. The two-dimensional system
exhibits an apparent second-order phase transition as indicated by a
-shaped peak in the specific heat. The first derivative of
with respect to the temperature shows a peak at the same
temperature. The three-dimensional system shows jumps, in both system energy
and , at the same temperature, suggesting a first-order phase
transition. Relaxation phenomena in the phase-transition region are analyzed by
using the local time averages.Comment: 16 pages, REVTeX, 10 eps figures, epsfig.st
Obesity, disability, and the labor force
Men of prime working age have increased their non-employment rates over the past 30 years, and disability rates have also increased. Many have noted that this increase has happened against a backdrop of generally improving health in the U.S. population. However, obesity has increased substantially over this period. The authors find that changes in the characteristics of male workers—including age, race, ethnicity, and obesity levels—can explain a large portion (around 40 percent) of the increase in non-employment.Obesity ; Unemployment
Backfitting and smooth backfitting for additive quantile models
In this paper, we study the ordinary backfitting and smooth backfitting as
methods of fitting additive quantile models. We show that these backfitting
quantile estimators are asymptotically equivalent to the corresponding
backfitting estimators of the additive components in a specially-designed
additive mean regression model. This implies that the theoretical properties of
the backfitting quantile estimators are not unlike those of backfitting mean
regression estimators. We also assess the finite sample properties of the two
backfitting quantile estimators.Comment: Published in at http://dx.doi.org/10.1214/10-AOS808 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org). With Correction
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