In this article we investigate the behaviour of the scaling exponentsof KPZ equation through changing three parameters of the equation. Inother words we would like to know how the growth exponent β and theroughness exponent α will change if the surface tension ν , the averagevelocity λ and the noise strength γchange. Using the discrete form of theequation , first we come to the results α = 0.5 ...

The classical Pell equation can be extended to the cubic case considering elements of norm one in , which satisfyThe solution is harder than case, indeed a method for solving it as Diophantine still missing [3]. In this paper, we study over finite fields, extending results that hold one. particular, provide novel counting number solutions all possible cases depending on value r. Moreover, are a...

The electrical conductivity σ has been calculated for p-doped GaAs/Al0.3Ga0.7As and cubic GaN/Al0.3Ga0.7N thin superlattices (SLs). The calculations are done within a self-consistent approach to the k→⋅p→ theory by means of a full six-band Luttinger-Kohn Hamiltonian, together with the Poisson equation in a plane wave representation, including exchange correlation effects within the local densit...

an analytical equation of state by song and mason is developed to calculate the pvt properties ofmercury. the equation of state is based on the statistical-mechanical perturbation theory of hard convexbodies and can be written as a fifth-order polynomial in the density. there exists three temperaturedependentparameters in the equation of state; the second virial coefficient, an effective molecu...