Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions
Mathematical Physics
2019-07-24 v1 Statistical Mechanics
math.MP
Abstract
Various authors have invoked discretized fractional Brownian (fBm) motion as a model for chain polymers with long range interaction of monomers along the chain. We show that for these, in contrast to the Brownian case, linear forces are acting between all pairs of constituents, attractive for small Hurst index H and mostly repulsive when H is larger than 1/2. In the second part of this paper we extend this study to periodic fBm and related models with a view to ring polymers with long range interactions.
Keywords
Cite
@article{arxiv.1907.09850,
title = {Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions},
author = {Wolfgang Bock and Jinky Bornales and Ludwig Streit},
journal= {arXiv preprint arXiv:1907.09850},
year = {2019}
}