In this paper we introduce a stochastic ansatz which can be used to model surface reaction systems. The systems may include mono- and bimolecular steps (i.e. adsorption, desorption, reaction and diffusion steps). We take advantage of the Markovian behaviour of these systems by using master...

Our previous results [V.N. Kuzovkov, W. von Niessen, V. Kashcheyevs, O. Hein, J. Phys. Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping...

The method proposed by the present authors to deal analytically with the problem of Anderson localization via disorder [J. Phys.: Condens. Matter <Emphasis Type="Bold">14, 13777 (2002)] is generalized for higher spatial dimensions D. In this way the generalized Lyapunov exponents for diagonal correlators of the wave...</emphasis>