Two techniques for computing black hole entropy in generally covariant gravity theories including arbitrary higher derivative interactions are studied. The techniques are Wald’s Noether charge approach introduced recently, and a field redefinition method developed in this paper. Wald’s results are extended by establishing that his local geometric expression for the black hole entropy gives the ...

We demonstrate that in the mass-independent renormalization scheme, group equations associated with unphysical parameters characterize scheme and mass scale leads to summation results a cancellation between implicit explicit dependence on these parameters. The resulting perturbative expansion is consequently independent of arbitrary illustrate this by considering R, cross section for e + – → ha...

Following Sanchez’s approach we investigate the effect of scalar mass in the absorption and emission problems of 4d Schwarzschild black hole. The absorption cross sections for arbitrary angular momentum of the scalar field are computed numerically in the full range of energy by making use of the analytic near-horizon and asymptotic solutions and their analytic continuations. The scalar mass mak...

We study theoretically the light scattering from metal wires of arbitrary cross section, with emphasis on the occurrence of plasmon resonances. We make use of the rigorous formulation of the Green's theorem surface integral equations of the electromagnetic wave scattering, written for an arbitrary number of scatterers described in parametric form. We have investigated the scattering cross secti...

We consider Taylor-Aris dispersion in columns of nearly rectangular cross section of large aspect ratio. We generalize the results of [1] and [2] who showed that the effective diffusion rate for perfectly rectangular cross sections is remarkably different than the diffusion rate between two parallel plates – as the aspect ratio goes to infinity, the effective diffusion rate does not approach th...

We study the effect of nonlocal optical response on the optical properties of metallic nanowires, by numerically implementing the hydrodynamical Drude model for arbitrary nanowire geometries. We first demonstrate the accuracy of our frequency-domain finite-element implementation by benchmarking it in a wide frequency range against analytical results for the extinction cross section of a cylindr...

An analytical solution of the impulsive impact a cylindrical body submerged below calm water surface is obtained by solving free boundary problem. The shape cross section arbitrary. integral hodograph method applied to derive complex velocity potential defined in parameter plane. boundary-value problem reduced Fredholm equation first kind magnitude on surface. field, pressure surface, and added...

We present a framework for knitwear modeling and rendering that accounts for characteristics that are particular to knitted fabrics. We first describe a model for animation that considers knitwear features and their effects on knitwear shape and interaction. With the computed free-form knitwear configurations, we present an efficient procedure for realistic synthesis based on the observation th...

In this paper a Semi-Analytical Finite Element (SAFE) method for modeling wave propagation in waveguides of arbitrary cross-section is discussed. The method requires the finite element discretization of the cross-section of the waveguide by assuming harmonic motion along the wave propagation direction. The general SAFE technique is extended to account for viscoelastic material damping by allowi...

We discuss corrections from the elastic limit (partonic threshold) in hadronic hard-scattering cross sections. We show why these corrections can be large at all orders in perturbation theory, and describe their resummation to arbitrary logarithmic accuracy. In particular, we discuss the role of color exchange in the hard scattering. This enables us to generalize the resummation of the Drell-Yan...