Diffusion and transport in locally disordered driven lattices.

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...

Electronic Transmission Wave Function of Disordered Graphene by Direct Method and Green's Function Method

We describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. We present a new method for computing, electronic transport wave function and Greens function of the disordered Graphene. In this method, based on the small rectangular approximation, break up the potential barriers in to small parts. Then using the f...

Topological Residuated ‎Lattices

In this paper, we study the separtion axioms $T_0,T_1,T_2$ and $T_{5/2}$ on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number $alpha$, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality $alpha$. In the follows, we obtain some ...

Diffusion in disordered lattices and related heisenberg ferromagnets

We study the diffusion of classical hard-core particles in disordered lattices within the formalism of a quantum spin representation. This analogy enables an exact treatment of noninstantaneous correlation functions at finite particle densities in terms of single spin excitations in disordered ferromagnetic backgrounds. Applications to diluted chains and percolation clusters are discussed. It i...

Depinning and Plasticity of Driven Disordered Lattices