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Anomalous diffusion of monomers of polymer chains, as well as motion of these chains as a whole, is discussed with an emphasis on Monte Carlo simulations and simple scaling concepts. While the behavior of isolated chains in good solvents or Theta-solvents without excluded volume interactions is fully accounted for by the Rouse model, the behavior is less clear both for isolated chains in bad solvents...
We present and discuss a collection of experimental data illustrating effects of lateral interactions on surface diffusion of adsorbed particles which proceeds in a concentration gradient.
The theory of particles moving in topologically random disordered environment is just in its infancy. Following our previous work on classical random walk in the presence of topological disorder due to randomly distributed line defects, we analyze the problem of a quantum, spinless, charged particle moving on a topologically disordered lattice. Specifically we discuss the motion on a d=2 square lattice...
We review recent developments in the study of the diffusion reaction systems of the type A + B → C in which the reactants are initially separated. We consider the case where the A and B particles are initially placed uniformly in Euclidean space at χ > 0 and χ < 0 respectively. We find that whereas for d ≥ 2 the mean field exponent characterizes the width of the reaction zone, fluctuations are...
We recall the main features of the fluctuations of self similar interfaces which can be observed in diffusion, invasion of a porous medium by a fluid, thin magnetic films of even corrosion patterns. The relations of this behavior with other physical problems like fragmentation of clusters, cluster dynamics of a lattice gas of particles, or some features of dynamical percolation is also presented....
A survey of recent simulations and analytical work on collective diffusion of lattice gases in lattices with site-energy disorder is given. In one-dimensional disordered lattices, exact results have been obtained in the limit of small and large particle concentrations. Simulation results at intermediate concentrations show that the time-dependent site-occupancy correlations are not yet satisfactorily...
A three-dimensional model consisting of a fluid in contact with a planar wall containing a lattice of adsorption sites is useful for studying phase transitions at the solid-fluid interface. Results have been obtained both for adsorption from a fluid of hard spheres and for deposition of a metal from a dilute solution of metal ions. The latter case is used to model the underpotential deposition of...
The problem of oxygen diffusion in 123-YBCO is discussed. We briefly recall the type of experiments, their results and theoretical interpretations. We observe the large spread of data values. The tracer diffusion coefficient interpretation is based on the ASYmmetric Next Nearest Neighbor Ising model and its phase diagram. Inclusion of oxygen-vacancy next nearest neighbor (NNN) hopping in the basal...
An extra degree of freedom (the “spin”) is added in the well-known Diffusion-Limited Aggregation growth model. A physically relevant coupling energy between aggregating spins in presence of an external magnetic field is defined. This model generates a kinetic growth competition between two kinds of entities and leads to a wide variety of kinetic processes and morphologies distributed in the “phase...
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