5,924 research outputs found
The Generation of Fullerenes
We describe an efficient new algorithm for the generation of fullerenes. Our
implementation of this algorithm is more than 3.5 times faster than the
previously fastest generator for fullerenes -- fullgen -- and the first program
since fullgen to be useful for more than 100 vertices. We also note a
programming error in fullgen that caused problems for 136 or more vertices. We
tabulate the numbers of fullerenes and IPR fullerenes up to 400 vertices. We
also check up to 316 vertices a conjecture of Barnette that cubic planar graphs
with maximum face size 6 are hamiltonian and verify that the smallest
counterexample to the spiral conjecture has 380 vertices.Comment: 21 pages; added a not
Arrest stress of uniformly sheared wet granular matter
We conduct extensive independent numerical experiments considering
frictionless disks without internal degrees of freedom (rotation etc.) in two
dimensions. We report here that for a large range of the packing fractions
below random-close packing, all components of the stress tensor of wet granular
materials remain finite in the limit of zero shear rate. This is direct
evidence for a fluid-to-solid arrest transition. The offset value of the shear
stress characterizes plastic deformation of the arrested state {which
corresponds to {\em dynamic yield stress} of the system}. {Based on an
analytical line of argument, we propose that the mean number of capillary
bridges per particle, , follows a non-trivial dependence on the packing
fraction, , and the capillary energy, \vareps. Most noticeably, we show
that is a generic and universal quantity which does not depend on the
driving protocol.} Using this universal quantity, we calculate the arrest
stress, , analytically based on a balance of the energy injection
rate due to the external force driving the flow and the dissipation rate
accounting for the rupture of capillary bridges. The resulting prediction of
is a non-linear function of the packing fraction , and the
capillary energy \vareps. This formula provides an excellent, parameter-free
prediction of the numerical data. Corrections to the theory for small and large
packing fractions are connected to the emergence of shear bands and of
contributions to the stress from repulsive particle interactions, respectively.Comment: 7 pages, g figure
Type III Einstein-Yang-Mills solutions
We construct two distinct classes of exact type III solutions of the D=4
Einstein-Yang-Mills system. The solutions are embeddings of the non-abelian
plane waves in spacetimes in Kundt's class. Reduction of the solutions to type
N leads to generalized and Kundt waves. The geodesic equations are briefly
discussed.Comment: revtex, 4 pages, minor changes, some factors and references
corrected, footnote adde
Genomic features of the Helicobacter pylori strain PMSS1 and its virulence attributes as deduced from its in vivo colonisation patterns
The size distribution of galaxies in the Sloan Digital Sky Survey
abridged: We use a complete sample of about 140,000 galaxies from the Sloan
Digital Sky Survey (SDSS) to study the size distribution of galaxies and its
dependence on their luminosity, stellar mass, and morphological type. The large
SDSS database provides statistics of unprecedented accuracy. For each type of
galaxy, the size distribution at given luminosity (or stellar mass) is well
described by a log-normal function, characterized by its median and
dispersion . For late-type galaxies, there is a characteristic
luminosity at (assuming ) corresponding to a stellar
mass M_0\sim 10^{10.6}\Msun. Galaxies more massive than have
and , while less massive
galaxies have and . For
early-type galaxies, the - relation is significantly steeper,
, but the - relation is similar
to that of late-type galaxies. Faint red galaxies have sizes quite independent
of their luminosities.Comment: 42 pages, 18 figures, 2 tables; replaced with the version accepted by
MNRA
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