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A simple model of deposition of particles and growth of point islands in a two-dimensional substrate is introduced and studied. The detachment of particles from islands with an odd number of particles can occur with a probability P. The power-law scalings of the island, monomer, and odd island densities are analytically obtained and verified by Monte Carlo(More)
The necklace model, which mimics the reptation of a chain of N beads in a square lattice, is used to study the drift velocity of charged linear polymers in gels under an applied electric field that periodically changes its direction. The characteristics of the model allow us to determine the effects of the alternating electric field on the chains' dynamics.(More)
We introduced two point island models with island disaggregation. In the first one, particles can detach from islands with an odd number of particles and from those with two particles. In the second model, particles can detach from all islands with more than two particles. The scaling exponents are analytically obtained and verified with Monte Carlo(More)
The one-dimensional motion of a chain of N beads is studied to determine its drift velocity when an external field is applied. The dependences of the drift velocity with the chain length and field strength are addressed. Two cases are considered, chains with all their beads charged and chains having an end bead charged. In the last case, an analytical(More)
We introduce a model to study the diffusion of chains in microporous solids. The difficulties a chain has to escape from a pore where it is confined is found to strongly depend on the ratio between the chain length and the cage size. This dynamic effect implies a nonstandard behavior of the diffusion coefficient. We found a window effect that can be(More)
An extension of a recently introduced one-dimensional model, the necklace model, is used to study the reptation of a chain of N particles in a two-dimensional square lattice. The mobilities of end and middle particles of a chain are governed by three free parameters. This new model mimics the behavior of a long linear and flexible polymer in a gel.(More)
The behavior of the island density exponent chi for a model of deposition, nucleation, and aggregation of particles, forming point islands with a sticking probability p in one dimension, is analyzed. Using Monte Carlo simulation we found that chi depends on p. For p=1 we obtain chi congruent with 1/4, the well-known result for perfect sticking and(More)