49,871 research outputs found

### On a Periodic Soliton Cellular Automaton

We propose a box and ball system with a periodic boundary condition (pBBS).
The time evolution rule of the pBBS is represented as a Boolean recurrence
formula, an inverse ultradiscretization of which is shown to be equivalent with
the algorithm of the calculus for the 2Nth root. The relations to the pBBS of
the combinatorial R matrix of ${U'}_q(A_N^{(1)})$ are also discussed.Comment: 17 pages, 5 figure

### Monotone methods for equilibrium selection under perfect foresight dynamics

This paper studies equilibrium selection in supermodular games
based on perfect foresight dynamics. A normal form game is played
repeatedly in a large society of rational agents. There are frictions:
opportunities to revise actions follow independent Poisson processes.
Each agent forms his belief about the future evolution of action distribution
in the society to take an action that maximizes his expected
discounted payo�. A perfect foresight path is de�ned to be a feasible
path of the action distribution along which every agent with a revision
opportunity takes a best response to this path itself. A Nash
equilibrium is said to be absorbing if there exists no perfect foresight
path escaping from a neighborhood of this equilibrium; a Nash equilibrium
is said to be globally accessible if for each initial distribution,
there exists a perfect foresight path converging to this equilibrium.
By exploiting the monotone structure of the dynamics, a unique Nash
equilibrium that is absorbing and globally accessible for any small degree
of friction is identi�ed for certain classes of supermodular games.
For games with monotone potentials, the selection of the monotone
potential maximizer is obtained. Complete characterizations of absorbing
equilibrium and globally accessible equilibrium are given for
binary supermodular games. An example demonstrates that unanimity
games may have multiple globally accessible equilibria for a small
friction

### Analysis of a particle antiparticle description of a soliton cellular automaton

We present a derivation of a formula that gives dynamics of an integrable
cellular automaton associated with crystal bases. This automaton is related to
type D affine Lie algebra and contains usual box-ball systems as a special
case. The dynamics is described by means of such objects as carriers,
particles, and antiparticles. We derive it from an analysis of a recently
obtained formula of the combinatorial R (an intertwiner between tensor products
of crystals) that was found in a study of geometric crystals.Comment: LaTeX, 21 pages, 2 figure

### Modified Spin Wave Analysis of Low Temperature Properties of Spin-1/2 Frustrated Ferromagnetic Ladder

Low temperature properties of the spin-1/2 frustrated ladder with
ferromagnetic rungs and legs, and two different antiferromagnetic next nearest
neighbor interaction are investigated using the modified spin wave
approximation in the region with ferromagnetic ground state. The temperature
dependence of the magnetic susceptibility and magnetic structure factors is
calculated. The results are consistent with the numerical exact diagonalization
results in the intermediate temperature range. Below this temperature range,
the finite size effect is significant in the numerical diagonalization results,
while the modified spin wave approximation gives more reliable results. The low
temperature properties near the limit of the stability of the ferromagnetic
ground state are also discussed.Comment: 9 pages, 8 figure

### PROMIS series. Volume 7: GOES 5 and GOES 6 geosynchronous magnetic field data for March - June 1986

This is the seventh in a series of volumes pertaining to the Polar Region Outer Magnetosphere International Study (PROMIS). This volume contains 24 hour plots of approximately 1-minute average magnetic fields from the GOES 5 and GOES 6 spacecraft for the period March 10 through June 16, 1986. Data are displayed in a VDH coordinate system based on a centered dipole with northern hemisphere geographic coordinates of the pole at 78.80 deg latitude and 289.24 deg longitude

### Detection of extrasolar planets by the large deployable reflector

The best wavelength for observing Jupiter-size planetary companions to stars other than the Sun is one at which a planet's thermal emission is strongest; typically this would occur in the far-infrared region. It is assumed that the orbiting infrared telescope used is diffraction-limited so that the resolution of the planet from the central star is accomplished in the wings of the star's Airy pattern. Proxima Centauri, Barnard's Star, Wolf 359, and Epsilon Eridani are just a few of the many nearest main-sequence stars that could be studied with the large deployable relfector (LDR). The detectability of a planet improves for warmer planets and less luminous stars; therefore, planets around white dwarfs and those young planets which have sufficient internal gravitational energy release so as to cause a significant increase in their temperatures are considered. If white dwarfs are as old as they are usually assumed to be (5-10 billion yr), then only the nearest white dwarf (Sirius B) is within the range of LDR. The Ursa Major cluster and Perseu cluster are within LDR's detection range mainly because of their proximity and young age, respectively

### The 1983 tail-era data series. Volume 4: GOES 5 and GOES 6 geosynchronous magnetic field data

Twenty-four hour plots are presented of approximately 1-min average magnetic fields from the GOES 5 and GOES 6 spacecraft for the period January 1 to September 4, 1983, with the exception that GOES 6 was not available for the first five months of 1983. Data are displayed in a VDH coordinate system based on a centered dipole with Northern Hemisphere geographic coordinates of the pole at 78.80 deg latitude and 289.24 deg longitude. Magnetic local times are shown along the upper horizontal axis and universal time and dipole tilt angles along the bottom horizontal axis

### Monte Carlo Simulations of Globular Cluster Evolution - II. Mass Spectra, Stellar Evolution and Lifetimes in the Galaxy

We study the dynamical evolution of globular clusters using our new 2-D Monte
Carlo code, and we calculate the lifetimes of clusters in the Galactic
environment. We include the effects of a mass spectrum, mass loss in the
Galactic tidal field, and stellar evolution. We consider initial King models
containing N = 10^5 - 3x10^5 stars, and follow the evolution up to core
collapse, or disruption, whichever occurs first. We find that the lifetimes of
our models are significantly longer than those obtained using 1-D Fokker-Planck
(F-P) methods. We also find that our results are in very good agreement with
recent 2-D F-P calculations, for a wide range of initial conditions. Our
results show that the direct mass loss due to stellar evolution can
significantly accelerate the mass loss through the tidal boundary, causing most
clusters with a low initial central concentration (Wo <~ 3) to disrupt quickly
in the Galactic tidal field. Only clusters born with high initial central
concentrations (Wo >~ 7) or steep initial mass functions are likely to survive
to the present and undergo core collapse. We also study the orbital
characteristics of escaping stars, and find that the velocity distribution of
escaping stars in collapsing clusters looks significantly different from the
distribution in disrupting clusters. We calculate the lifetime of a cluster on
an eccentric orbit in the Galaxy, such that it fills its Roche lobe only at
perigalacticon. We find that such an orbit can extend the lifetime by at most a
factor of a few compared to a circular orbit in which the cluster fills its
Roche lobe at all times.Comment: 32 pages, including 10 figures, to appear in ApJ, minor corrections
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