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

• Published in: Physica A: Statistical Mechanics and its Applications
• Main Authors: Terranova, Guillermo Roberto, Martin, Hector Omar, Aldao, Celso Manuel
• Format: Article in Journal/Newspaper
• Language: English
• Published: Elsevier Science
• Subjects: Drift; Monte Carlo Simulations; Necklace Model; Reptation; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1; Argentina; Hector; Terranova
• Online Access: http://hdl.handle.net/11336/65599

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 and 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. © 2009. Fil: Terranova, Guillermo Roberto. Universidad Nacional de Mar del Plata, Departamento de Física, Facultad de Ciencias Exactas y Naturales; Argentina Fil: Martin, Hector Omar. Universidad Nacional de Mar del Plata, Departamento de Física, Facultad de Ciencias Exactas y Naturales; Argentina Fil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; Argentina