We study the ?-vacuum of QCD using two-flavor chiral perturbation theory (?PT) in presence a uniform, background magnetic field calculating field-dependent free energy density, topological susceptibility and fourth cumulant at one-loop order. find that is enhanced by while diminished weak fields larger when ?=0. However, vacuum with ??0, can be either monotonically or relative to their values. ...

We study the topological susceptibility and fourth cumulant of QCD vacuum in presence a uniform, background magnetic field two-and-three flavor finding novel, model-independent sum rules relating shift due to quark condensates, shifts condensates susceptibilities.

In this paper a closed form solution for one-dimensional magnetothermoelastic problem in a functionally graded material (FGM) hollow sphere placed in a uniform magnetic field and temperature field subjected to an internal pressure is obtained using the theory of magnetothermoelasticity. Hyper-geometric functions are employed to solve the governing equation. The material properties through the g...

In this paper, we discuss similarity reductions for problems of radiative and magnetic field effects on free-convection and mass-transfer flow past a semi-infinite vertical flat plate. Two cases are considered: Lie group analysis applied to uniform magnetic fields, and Scaling transformations applied to non-uniform magnetic fields. In particular, we determine new similarity reductions and find ...

In this paper, a semi-analytical solution for magneto-thermo-elastic problem in an axisymmetric functionally graded (FG) hollow rotating disk with constant thickness placed in uniform magnetic and thermal fields with heat convection from disk’s surfaces is presented. Solution for stresses and perturbation of magnetic field vector in a thin FG rotating disk is determined using infinitesimal theo...