The tangential equilibria are characterized by a bulk plasma velocity and a magnetic field that are perpendicular to the gradient direction. Such equilibria can be spatially periodic (like waves), or they can separate two regions with asymptotic uniform conditions (like MHD tangential discontinuities). It is possible to compute the velocity moments of the particle distribution function. Even in...

Properties of the neutron rich 11Li nucleus are calculated in the framework of the cluster model 9Li +n + n. The formalism of the harmonic oscillator representation is used for the description of bound and continuum spectrum states in the three-bodydemocratic-decay approximation. It is shown that this approach allows one to take into account adequately the long asymptotic tail of the 11Li wave ...

The accretion of dark matter around the primordial black holes (PBHs) could lead to formation surrounding minihalos, whose mass can be several orders magnitude higher than central PBH mass. gravitational microlensing produced by such dressed PBHs quite different from that bare PBHs, which may significantly affect constraints on abundance. In this paper, we study in detail. We find all effects h...

It is shown that particles undergoing discrete-time jumps in three dimensions, starting at a distance r(0) from the center of an adsorbing sphere of radius R, are captured with probability (R-c sigma)/r(0) for r(0)>>R, where c is related to the Fourier transform of the scaled jump distribution and sigma is the distribution's root-mean square jump length. For particles starting on the surface of...

Dynamic fracture in a wide class of materials reveals a "fracture energy" Gamma much larger than the expected nominal surface energy due to the formation of two fresh surfaces. Moreover, the fracture energy depends on the crack velocity, Gamma=Gamma(upsilon). We show that a simple dynamical theory of viscoplasticity coupled to asymptotic pure linear elasticity provides a possible explanation to...

We use the Bohr-Sommerfeld quantization approach in the context of constituent quark models. This method provides, for the Cornell potential, analytical formulas for the energy spectra which closely approximate numerical exact calculations performed with the Schrödinger or the spinless Salpeter equations. The Bohr-Sommerfeld quantization procedure can also be used to calculate other observables...

We study an Eulerian walker on a square lattice, starting from an initial randomly oriented background using Monte Carlo simulations. We present evidence that, for large number of steps N , the asymptotic shape of the set of sites visited by the walker is a perfect circle. The radius of the circle increases as N, for large N , and the width of the boundary region grows as N, with α = 0.40 ± .06...

We discuss the quantization of a scalar field in three-dimensional asymptotic de Sitter space. We obtain explicit expressions for the Noether currents generating the isometry group in terms of the modes of the scalar field and the Liouville gravitational field. We extend the SL(2, C) algebra of the Noether charges to a full Virasoro algebra by introducing non-local conserved charges. The Viraso...

In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrixM = mI, m ≥ 2, and present a general approach for checking their convergence and for determining their Hölder regularity. The combination of the concepts of asymptotic similarity and approximate sum rules allows us to link stationary and nonstationary settings and to employ recent advances...

Abstract. We are concerned about the coarse and precise aspects of a priori estimates for Green’s function of a regular domain for the Laplacian-Betrami operator on any 3 ≤ n-dimensional complete non-compact boundary-free Riemannian manifold through the square Sobolev/Nash/logarithmic-Sobolev inequalities plus the rough and sharp Euclidean isoperimetric inequalities. Consequently, we are led to...