On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions

Details On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions

2006-03-17

arxiv.org/abs/cond-mat/0603459v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.96.240603

We introduce a new class of models for polymer collapse, given by random walks on regular lattices which are weighted according to multiple site visits. A Boltzmann weight $\omega_l$ is assigned to each $(l+1)$-fold visited lattice site, and self-avoidance is incorporated by restricting to a maximal number $K$ of visits to any site via setting $\omega_l=0$ for $l\geq K$. In this paper we study this model on the square and simple cubic lattices for the case K=3. Moreover, we consider a variant of this model, in which we forbid immediate self-reversal of the random walk. We perform simulations for random walks up to $n=1024$ steps using FlatPERM, a flat histogram stochastic growth algorithm. Unexpectedly, we find evidence that the existence of a collapse transition depends sensitively on the details of the model.

Affiliated with

Also associated with

No associations

Rating

On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-80066