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5 papers · 2 filters
Crossover from Reptation to Rouse dynamics in the Cage Model
Andrzej Drzewinski, J. M. J. van Leeuwen
The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Densit…
Geometric properties of two-dimensional O(n) loop configurations
Chengxiang Ding, Xiaofeng Qian, Youjin Deng +2
We study the fractal geometry of O() loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Co…
Cluster simulations of loop models on two-dimensional lattices
Youjin Deng, Timothy M. Garoni, Wenan Guo +2
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has l…
Transport on Adaptive Random Lattices
Jelle Ritzerveld, Vincent Icke
In this paper, we present a new method for the solution of those linear transport processes that may be described by a Master Equation, such as electron, neutron and photon transpo…
Exact Solution for a 1-dimensional model for Reptation
Andrzej Drzewinski, J. M. J. van Leeuwen
We discuss the exact solution for the properties of the recently introduced ``necklace'' model for reptation. The solution gives the drift velocity, diffusion constant and renewal…