Drift velocity in the necklace model for reptation in a two-dimensional square lattice

G. R. TERRANOVA; H. O. MÁRTIN; C. M. ALDAO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 2009 vol. 388 p. 2149 - 2156

0378-4371

We report the chain dynamics in the necklace model that mimics the reptation of a chain of N particles in a two-dimensional square lattice. We focus on the drift velocity under an applied static field. The characteristics of the model allow us to determine the effects of the forces on the chains and the resulting mechanisms that affect the drift velocity. Results obtained through Monte Carlo simulations were analyzed ad discussed and distinct regimes as a function of the force strength and N were identified. We found that for small total applied forces the drift velocity scales as 1/N. When the applied force to every particle is small but the total applied force is not, the tube deforms in such a way that the drift velocity does not depend on N. Large forces, applied to every particle, can straight chains such that the distance between the chain ends increases faster than the number of particles. Also, large forces can deform the chain within the tube what is directly related to a decrease of the drift velocity.