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arXiv · 2510.00975

Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion

A. C. Maggs
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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 $N$ bricklayers/walkers coupled to the contour of an expanding wall. In the large-$N$ limit, the results from simulation agree with the solution of the partial differential equations.

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BibTeXRIS

A. C. Maggs. 2025-10-01. Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion. https://arxiv.org/abs/2510.00975

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