Metallic nanoparticles can exhibit very large optical extinction in the visible spectrum due to localized surface plasmon resonance. Spherical plasmonic nanoparticles have been the subject of numerous studies in recent years due to the fact that the scattering response of spheres can be analytically evaluated using Mie theory. However a major disadvantage of metallic spherical nanoparticles is ...

We discuss the influence of the cosmological background density field on the spherical infall model. The spherical infall model has been used in the Press-Schechter formalism to evaluate the number abundance of clusters of galaxies, as well as to determine the density parameter of the universe from the infalling flow. Therefore, the understanding of collapse dynamics play a key role for extract...

Abstract. We consider polynomial approximation on the unit sphere S = {(x, y, z) ∈ R : x + y + z = 1} by a class of regularized discrete least squares methods, with novel choices for the regularization operator and the point sets of the discretization. We allow different kinds of rotationally invariant regularization operators, including the zero operator (in which case the approximation includ...

Structure and thermodynamics in restricted primitive model electrolytes are examined using three recently developed versions of a linear form the modified Poisson-Boltzmann equation. Analytical expressions for osmotic coefficient electrical part mean activity obtained results coefficients compared with that from more established spherical approximation, symmetric Poisson-Boltzmann, theories, av...

Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems confined in a finite domain consisting of either point masses or rotating mass shells of different dimension. We establish a direct connection between the spher...

For the purpose of fitting nuclear mean-field models, we search for those spherical nuclei which are well reproduced by a mean-field description. To that end, we investigate the correlation energies for isotopic and isotonic chains of semi-magic nuclei. We find that isotonic chains provide the best pool of data. Motivation Self-consistent nuclear mean-field models are a widely used tool for a h...

Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical result allows for an exact discussion of the loci of the Fisher zeros of the canonical partition function. The microcanonical entropy is found to be nonanaly...

This work presents a new adaptive multilevel approximation of the gradient operator on a recursively refined spherical geodesic grid. The multilevel structure provides a simple way to adapt the computation to the local structure of the gradient operator so that high resolution computations are performed only in regions where singularities or sharp transitions occur. This multilevel approximatio...

We describe the liquid-gas transition in the hard sphere system with Yukawa tail interactions in the mean spherical approximation. The dependence of critical temperature and density on the range of the interaction is shown and the spinodal curve for a short-ranged potential and a long-ranged potential is presented. The compressibility, energy and virial pressures are presented for a long-ranged...