We have shown here that when 2D electron gas is taken to reside on the surface of 3D sphere with a monopole at the centre we can study quantum Hall skyrmions in terms of the 3+1 dimensional nonlinear sigma model. We have shown that the addition of the Skyrme term in the Lagrangian, for stability of skyrmion, helps us to determine the size of it. We have computed the energy of skyrmions in this ...

We study the Ginzburg-Landau energy of superconductors submitted to a possibly non-uniform magnetic eld, in the limit of a large Ginzburg-Landau parameter. We prove that the induced magnetic elds associated to minimizers of the energy-functional converge as ! +1 to the solution of a free-boundary problem. This free boundary-problem has a nontrivial solution only when the applied magnetic eld is...

Water quality and metal contents of sediments were measured in Zayandeh-Rood River. Zayandeh-Rood is one of the most important rivers of Iran. The river water is used for drinking, industrial and agricultural purposes. The anthropogenic impact on the river over the last three decade has proven to be extremely negative due to the quick development of industry. Physico-chemical parameters of wate...

It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D − 2 in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in th...

We study the space complexity of implementing long-lived and one-shot adaptive renaming from multi-reader multi-writer registers, in an asynchronous distributed system with n processes. As a result of an f -adaptive renaming algorithm each participating process gets a distinct name in the range {1, . . . , f (k)} provided k processes participate. Let f : {1, . . . ,n}→N be a non-decreasing func...

This research proposal is being submitted to the Department of Energy for continuation of grant no. DOE DE-FG03-96ER40965. Support is requested for myself and one graduate student for the purpose of carrying out fundamental research in theoretical nuclear physics. The main areas where I have achieved signiicant progress during the last year are: 1 Light-Front quantization and the transverse lat...

0006-3207/$ see front matter 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.biocon.2013.06.014 ⇑ Corresponding author at: School of Natural Resources and Environment, University of Michigan, Ann Arbor, MI, United States. Tel.: +1 (734) 764 9542. E-mail addresses: [email protected] (J.S. Brandt), [email protected] (E.M. Wood), [email protected] (A.M. Pidgeon), lianxian.han@gma...

In this paper we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some polynomial function, the scheme yields the same polynomial in the limit. This property is desirable because the reproduction of polynomials up to some degree d implies that a scheme has approximation order d +1. We first show that any conve...