14,065 research outputs found
Statistical Laws and Mechanics of Voronoi Random Lattices
We investigate random lattices where the connectivities are determined by the
Voronoi construction, while the location of the points are the dynamic degrees
of freedom. The Voronoi random lattices with an associated energy are immersed
in a heat bath and investigated using a Monte Carlo simulation algorithm. In
thermodynamic equilibrium we measure coordination number distributions and test
the Aboav-Weaire and Lewis laws.Comment: 14 pages (figures not included), LaTeX, HLRZ-26/9
Discrete Fracture Model with Anisotropic Load Sharing
A two-dimensional fracture model where the interaction among elements is
modeled by an anisotropic stress-transfer function is presented. The influence
of anisotropy on the macroscopic properties of the samples is clarified, by
interpolating between several limiting cases of load sharing. Furthermore, the
critical stress and the distribution of failure avalanches are obtained
numerically for different values of the anisotropy parameter and as a
function of the interaction exponent . From numerical results, one can
certainly conclude that the anisotropy does not change the crossover point
in 2D. Hence, in the limit of infinite system size, the crossover
value between local and global load sharing is the same as the one
obtained in the isotropic case. In the case of finite systems, however, for
, the global load sharing behavior is approached very slowly
SUSY-QCD corrections to stop annihilation into electroweak final states including Coulomb enhancement effects
We present the full supersymmetric QCD corrections
for stop-anti-stop annihilation into electroweak final states within the
Minimal Supersymmetric Standard Model (MSSM). We also incorporate Coulomb
corrections due to gluon exchange between the incoming stops. Numerical results
for the annihilation cross sections and the predicted neutralino relic density
are presented. We show that the impact of the radiative corrections on the
cosmologically preferred region of the parameter space can become larger than
the current experimental uncertainty, shifting the relic bands within the
considered regions of the parameter space by up to a few tens of GeV.Comment: 20 pages, 13 figures, updated to version published in Phys. Rev.
Break-up of shells under explosion and impact
A theoretical and experimental study of the fragmentation of closed thin
shells made of a disordered brittle material is presented. Experiments were
performed on brown and white hen egg-shells under two different loading
conditions: fragmentation due to an impact with a hard wall and explosion by a
combustion mixture giving rise to power law fragment size distributions. For
the theoretical investigations a three-dimensional discrete element model of
shells is constructed. Molecular dynamics simulations of the two loading cases
resulted in power law fragment mass distributions in satisfactory agreement
with experiments. Based on large scale simulations we give evidence that power
law distributions arise due to an underlying phase transition which proved to
be abrupt and continuous for explosion and impact, respectively. Our results
demonstrate that the fragmentation of closed shells defines a universality
class different from that of two- and three-dimensional bulk systems.Comment: 11 pages, 14 figures in eps forma
Precision predictions for supersymmetric dark matter
The dark matter relic density has been measured by Planck and its
predecessors with an accuracy of about 2%. We present theoretical calculations
with the numerical program DM@NLO in next-to-leading order SUSY QCD and beyond,
which allow to reach this precision for gaugino and squark (co-)annihilations,
and use them to scan the phenomenological MSSM for viable regions, applying
also low-energy, electroweak and hadron collider constraints.Comment: 6 pages, 1 table, 8 figures, proceedings of ICHEP 201
Precise calculation of the threshold of various directed percolation models on a square lattice
Using Monte Carlo simulations on different system sizes we determine with
high precision the critical thresholds of two families of directed percolation
models on a square lattice. The thresholds decrease exponentially with the
degree of connectivity. We conjecture that decays exactly as the
inverse of the coodination number.Comment: 2 pages, 2 figures and 1 tabl
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