Recent progresses in the study of jet modification in hot medium and their consequences in high-energy heavy-ion collisions are reviewed. In particular, I will discuss energy loss for propagating heavy quarks and the resulting modified fragmentation function. Medium modification of the parton fragmentation function due to quark recombination are formulated within finite temperature field theory...

This paper presents a general and systematic analysis of the problem of electromagnetic scattering by an arbitrary finite fixed object embedded in an absorbing, homogeneous, isotropic, and unbounded medium. The volume integral equation is used to derive generalized formulas of the far-field approximation. The latter serve to introduce direct optical observables such as the phase and extinction ...

We consider a generalized switch model, which includes as special cases the model of multiuser data scheduling over a wireless medium [5, 1], the input-queued cross-bar switch model [3], and a discrete time version of a parallel server queueing system [2, 6]. Input flows, , are served in discrete time by a switch. Switch state follows a finite discrete time Markov chain. In each state , the swi...

A formalism to study light fermions at non-zero chemical potential in the instanton medium is presented. It is then applied to investigate chiral symmetry restoration and diquark condensation at finite baryon density.

We exhibit a target signature obtainable from the electromagnetic far field pattern at fixed frequency that allows one to distinguish a perfect conductor from an anisotropic medium of finite conductivity. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.

This note is concerned with proving the finite speed of propagation for some non-local porous medium equation by adapting arguments developed by Caffarelli and Vázquez (2010). AMS Classification: 35K55, 35B30

We consider the imposition of Dirichlet boundary conditions in the finite element modelling of moving boundary problems in one and two dimensions for which the total mass is prescribed. A modification of the standard linear finite element test space allows the boundary conditions to be imposed strongly whilst simultaneously conserving a discrete mass. The validity of the technique is assessed f...

A Dirichlet problem is considered for the eikonal equation in an anisotropic medium. The nonlinear boundary value problem (BVP) formulated in the present work is the limit of the diffusion–reaction problem with a diffusion parameter tending to zero. To solve numerically the singularly perturbed diffusion– reaction problem, monotone approximations are employed. Numerical examples are presented f...

We present a method for performing time domain simulations of a microphotonic system containing a four level gain medium based on the finite element method. This method includes an approximation that involves expanding the pump and probe electromagnetic fields around their respective carrier frequencies, providing a dramatic speedup of the time evolution. Finally, we present a two dimensional e...

Consider a time-harmonic electromagnetic plane wave incident on a biperiodic structure in R. The periodic structure separates two homogeneous regions. The medium inside the structure is chiral and nonhomogeneous. In this paper, variational formulations coupling finite element methods in the chiral medium with a method of integral equations on the periodic interfaces are studied. The well-posedn...