Fig. 8: Modulated formulations for cellular activity mitigate density-induced drift.
From: Mitigating density fluctuations in particle-based active nematic simulations
a Distributions of the magnitude of density-induced drift, \(\left\vert {{{{{{\boldsymbol{\nabla }}}}}}}\rho \right\vert\), for all four formulations of cellular activity at a fixed activity of α = 0.1 and for passive N-MPCD. b The mean magnitude of density-induced drift, \(\left\langle \left\vert {{{{{{\boldsymbol{\nabla }}}}}}}\rho \right\vert \right\rangle\). Inset: The standard deviation of density-induced drift normalized by the mean. c The magnitude of density-induced drift \(\left\vert {{{{{{\boldsymbol{\nabla }}}}}}}\rho \right\vert\) as a function of local density, \(\left\vert {{{{{{\boldsymbol{\nabla }}}}}}}{{\rho}} \right\vert\,({{\rho}_{C}})\) at a fixed activity of α = 0.1 and for passive N-MPCD. The beginnings of plateaus of maximum density-induced drift are seen for the modulated methods, capping the effect density fluctuations can have on solutes. ("Part.'', Eq. (6), blue; “Cell'', Eq. (8), red; “Mod. Part.'', Eq. (12), cyan; “Mod. Cell'', Eq. (11), yellow).
