A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited.
In the current study, the pore was modeled by a square channel and polymer chains were modeled by both the random walk (RW) and the self-avoiding walk (SAW) models.
Monte Carlo simulations of self-avoiding walk (SAW) polymer chains on a simple cubic lattice were used to study the adsorption and partitioning of the chains into pores from a bulk Θ solution.
Some discussions about the self-avoiding walk (SAW) and swollen chains are also made for the comparison, and our results also show that the restriction of the small sphere on the SAW and the swollen chains is more effective because of their relatively looser intrinsic structure.
Dynamics of adsorbed protein-like chains are investigated by calculating their diffusion coefficients, and we find that there exist the relationships of Dxy∼N−γxyand Dz∼N−γz, and the values of γxy and γz are 4 5 times larger than that of general self-avoiding walk (SAW) chains.
For the the random walk (RW), self-avoiding walk (SAW) and the globular state (GS) model, the following higher-order moments of the distance distribution between two markers turned out to be basically independent of genomic separation [32].
By excluding sequentially local interactions within a window that slides along the chain, we obtain an upper bound on the number of self-avoiding walks (SAWs) that terminate at each possible position and orientation.
This article presents SAWdoubler, a package for counting the total number ZN of self-avoiding walks (SAWs) on a regular lattice by the length-doubling method, of which the basic concept has been published previously by us.
This is very close to the theoretical value 5/3 associated with a self-avoiding random walk (SAW-3) in three-dimensional Euclidean space (E3) [40].
This makes the numerical investigation much more difficult since an exact enumeration of self-avoiding walks (SAWs) is only feasible for chain lengths up to ∼20 30 blobs which is insufficient for this investigation.
