Surface diffusion of particles over bivariate trap lattices

نویسندگان

  • Alexander Tarasenko
  • Lubomir Jastrabik
چکیده

We investigate the diffusion of particles on heterogeneous lattices with two kinds of nonequivalent sites. General analytical expressions for the chemical and jump diffusion coefficients have been derived in the case of strong inhomogeneity. We have calculated coverage dependencies of the diffusion coefficients and other necessary thermodynamic quantities for some representative values of the lateral pairwise interaction between the particles. The analytical data have been compared with the numerical data obtained by the kinetic Monte Carlo simulations. Almost perfect agreement between the respective results has been found.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Surface Diffusion of Particles over the Bivariate Trap Lattices

We investigate the diffusion of particles on heterogeneous lattices with two kinds of nonequivalent sites. General analytical expressions for the chemical and jump diffusion coefficients have been derived in the case of strong inhomogeneity. We have calculated coverage dependencies of the diffusion coefficients and other necessary thermodynamic quantities for some representative values of the l...

متن کامل

Reaction-diffusion processes in scale-free networks

In this work we investigate the dynamics of reaction-diffusion processes on scale-free networks. Particles of two types, A and B, are randomly distributed on such a network and diffuse using random walk models by hopping to nearest neighbor nodes only. Here we treat the case where one species is immobile and the other is mobile. The immobile species acts as a trap, i.e. when particles of the ot...

متن کامل

Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs

We explore the connection between an infinite system of particles in R2 described by a bi–dimensional version of the Toda equations with the theory of orthogonal polynomials in two variables. We define a 2D Toda lattice in the sense that we consider only one time variable and two space variables describing a mesh of interacting particles over the plane. We show that this 2D Toda lattice is rela...

متن کامل

Manipulating and probing the spatio-temporal dynamics of nanoparticles near surfaces

In this report, we combine total internal reflection-fluorescence correlation spectroscopy (TIR-FCS) with a single optical trap to simultaneously manipulate and measure the dynamics of individual molecules near the substrate-solution interface. As a proof of principle, polystyrene particles (84 nm in diameter) are used as a model system to test our approach in studying their diffusion propertie...

متن کامل

Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder

Topics: random transition rates, random barriers, random traps, Miller-Abrahams model, diffusion coefficient, coefficient of collective diffusion, effective medium theory, site-exclusion model Abstract A survey is given on asymptotic diffusion coefficients of particles in lattices with random transition rates. Exact and approximate results for single particles are reviewed. A recent exact expre...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010