45,580 research outputs found
Towards the Final Fate of an Unstable Black String
Black strings, one class of higher dimensional analogues of black holes, were
shown to be unstable to long wavelength perturbations by Gregory and Laflamme
in 1992, via a linear analysis. We revisit the problem through numerical
solution of the full equations of motion, and focus on trying to determine the
end-state of a perturbed, unstable black string. Our preliminary results show
that such a spacetime tends towards a solution resembling a sequence of
spherical black holes connected by thin black strings, at least at intermediate
times. However, our code fails then, primarily due to large gradients that
develop in metric functions, as the coordinate system we use is not well
adapted to the nature of the unfolding solution. We are thus unable to
determine how close the solution we see is to the final end-state, though we do
observe rich dynamical behavior of the system in the intermediate stages.Comment: 17 pages, 7 figure
A Class of Nonperturbative Configurations in Abelian-Higgs Models: Complexity from Dynamical Symmetry Breaking
We present a numerical investigation of the dynamics of symmetry breaking in
both Abelian and non-Abelian Higgs models in three spatial
dimensions. We find a class of time-dependent, long-lived nonperturbative field
configurations within the range of parameters corresponding to type-1
superconductors, that is, with vector masses () larger than scalar masses
(). We argue that these emergent nontopological configurations are related
to oscillons found previously in other contexts. For the Abelian-Higgs model,
our lattice implementation allows us to map the range of parameter space -- the
values of -- where such configurations exist and to
follow them for times t \sim \O(10^5) m^{-1}. An investigation of their
properties for -symmetric models reveals an enormously rich structure
of resonances and mode-mode oscillations reminiscent of excited atomic states.
For the SU(2) case, we present preliminary results indicating the presence of
similar oscillonic configurations.Comment: 21 pages, 19 figures, prd, revte
Graph isomorphism and genotypical houses
This paper will introduce a new method, known as small graph matching, anddemonstrate how it may be used to determine the genotype signature of a sample ofbuildings. First, the origins of the method and its relationship to other ?similarity? testingtechniques will be discussed. Then the range of possible actions and transformations willbe established through the creation of a set of rules. Next, in order to fully explain thismethod, a technique of normalizing the similarity measure is presented in order to permitthe comparison of graphs of differing magnitude. The last stage of this method ispresented, this being the comparison of all possible graph-pairs within a given sampleand the mean-distance calculated for all individual graphs. This results in theidentification of a genotype signature. Finally, this paper presents an empiricalapplication of this method and shows how effective it is, not only for the identification ofa building genotype, but also for assessing the homogeneity of a sample or sub-samples
- …