In this paper we report on numerical studies of formation of singularities for the semilinear wave equations with a focusing power nonlinearity utt−∆u = u in three space dimensions. We show that for generic large initial data that lead to singularities, the spatial pattern of blowup can be described in terms of linearized perturbations about the fundamental selfsimilar (homogeneous in space) so...

Abstract The trans-Neptunian scattered disk exhibits unexpected dynamical structure, ranging from an extended dispersion of perihelion distance to a clustered distribution in orbital angles. Self-gravitational modulation the has been suggested literature as alternative mechanism Planet 9 for sculpting architecture region. numerics this hypothesis have hitherto limited N < O(103) super-pa...

Using the coupled-cluster method for infinite lattices and the exact diagonalization method for finite lattices, we study the influence of an exchange anisotropy ∆ on the groundstate phase diagram of the spin-1/2 frustrated J1–J2 XXZ antiferromagnet on the square lattice. We find that increasing ∆ > 1 (i.e. an Ising type easy-axis anisotropy) as well as decreasing ∆ < 1 (i.e. an XY type easy-pl...

Abstract Fresh-market tomato is one of the most important vegetables in United States (US), and novel, cost-effective labor solutions are an issue current fresh-market production. The shortened stem driven by brachytic ( br ) jointless pedicel jointless2 j2 two traits that would contribute to knowledge-based breeding; based on these traits, appropriate plant architecture can be designed for gro...

Nematode-suppressive soils are characterized by the ability of soil microbial communities to reduce populations plant-parasitic nematodes (PPN) either directly or inducing systemic resistance in plants. Various microorganisms have been recognized as antagonists PPN suppressive using culture-dependent and culture-independent methods. However, associations that form with nematode-conducive poorly...

We study the power-law tails in the evolution of massless fields around a fixed background geometry corresponding to a black hole. We give analytical arguments for their existence at scri+, at the future horizon and at future timelike infinity. We confirm their existence with numerical integrations of the curved spacetime wave equation on the background of a Schwarzschild and a Reissner-Nordstr...

Ground- and excited-state quantum fidelities in combination with generalized quantum fidelity susceptibilites, obtained from exact diagonalizations, are used to explore the phase diagram of the anisotropic next-nearest-neighbour triangular Heisenberg model. Specifically, the J'-J2 plane of this model, which connects the J1-J2 chain and the anisotropic triangular lattice Heisenberg model, is exp...

ü Define the geometry of the system and assign an index number to each cell. Specify the topology by listing the neighbours of each cell. latticevector1 = N@8Sqrt@3D, 0<D;H* for hexagonal lattice *L latticevector2 = N@8Sqrt@3D ê 2, 3 ê 2<D; H* for hexagonal lattice *L addresses = Flatten@Table@8ja, jb<, 8ja, 0, n1 1<, 8jb, 0, n2 1<D, 1D; H* list of lattice addresses of the cells in the patch *L...

We used a Monte Carlo simulation to analize the magnetic behavior of Ising model of mixed spins S i = ±3/2,±1/2 and σ j = ±5/2,±3/2,±1/2, on a square lattice. Were studied the possible critical phenomena that may emerge in the region around the multiphase point (D/|J1| = −3, J2/|J1| = 1) and the dependence of the phase diagrams with the intensities of the anisotropy field of single ion (D/|J1|)...

Objectives Drawing on new (2011-12) and previous (1993-5, 2000-1 and 2007-8) data on suicidal behaviour reported by the Belgian Network of Sentinel General Practices (SGP), we describe trends in the key characteristics of suicidal events. We also examine patient age-related trends in the on-site attendance of sentinel general practitioners (GPs) as first professional caregivers following suicid...