Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion
Statistical Mechanics
2025-10-14 v2 Mathematical Physics
math.MP
Abstract
We consider a multi-walker generalization of the true self-avoiding walk: the bricklayer model. We perform stochastic simulations, and solve the partial differential equations that describe the collective motion of bricklayers/walkers coupled to the contour of an expanding wall. In the large- limit, the results from simulation agree with the solution of the partial differential equations.
Keywords
Cite
@article{arxiv.2510.00975,
title = {Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion},
author = {A. C. Maggs},
journal= {arXiv preprint arXiv:2510.00975},
year = {2025}
}
Comments
9 pages, 6 figures