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Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion
Published 1 Oct 2025 in cond-mat.stat-mech, math-ph, and math.MP | (2510.00975v1)
Abstract: We consider a multi-walker generalization of the true self-avoiding walk, the bricklayer model. We perform stochastic simulations and solve the continuum partial differential equations that describe the collective evolution of $N$ bricklayers/walkers. These equations were previously derived from hydrodynamic considerations. In the large-$N$ limit, the results from simulation agree with the solutions of the partial differential equations.
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