arXiv subjects

Adel Kassaian

Publications and source records attributed to Adel Kassaian.

3 recordsLinked to original sources

arXiv2026

Magnetic susceptibility of diluted magnetic semiconductors at low carrier densities

We calculate the static longitudinal and the transverse dynamic magnetic susceptibilities of (III,Mn)V diluted magnetic semiconductors, using the random phase approximation, for a simple impurity band model appropriate for the low charge carrier concentration regime. The magnetic susceptibilities are shown to depend sensitively on the amount of positional disorder of the Mn impurities. The results we obtain are consistent with previous studies of the spin wave spectrum and of the spatially inhomogeneous ferromagnetic state of these materials.

cond-mat.mtrl-sci↗

arXiv2019

Analytic solution for one dimensional inverse heat conduction problem of semi-infinite bar

We present analytical formula along with its existence theorem for solution of inverse heat conduction problem of semi-infinite bar, equivalent to a Volterra integral equation of first kind, as an infinite series of fractional derivatives. The mathematical method is based on some properties of function space M[0, T] (proved here) with respect to fractional integration and derivatives.

math.CA↗

arXiv2013

Green's Function For Linear Differential Operators In One Variable

General formula for causal Green's function of linear differential operator of given degree in one variable is given according to coefficient functions of differential operator as a series of integrals. The solution also provides analytic formula for fundamental solutions of corresponding homogenous linear differential equation as series of integrals. Furthermore, multiplicative property of causal Green's functions is shown and by which explicit formulas for causal Green's functions of some classes of decomposable linear differential operators are given. A method to find Green's function of general linear differential operator of given degree in one variable with arbitrary boundary condition according to coefficient functions of differential operator is demonstrated.

math.CA↗