Analogies between growing dense active matter and soft driven glasses

Abstract

We develop a minimal model to describe growing dense active matter such as biological tissues, bacterial colonies and biofilms, that are driven by a competition between particle division and steric repulsion. We provide a detailed numerical analysis of collective and single particle dynamics. We show that the microscopic dynamics can be understood as the superposition of an affine radial component due to the global growth, and of a more complex non-affine component which displays features typical of driven soft glassy materials, such as aging, compressed exponential decay of time correlation functions, and a crossover from superdiffusive behaviour at short scales to subdiffusive behaviour at larger scales. This analogy emerges because particle division at the microscale leads to a global expansion which then plays a role analogous to shear flow in soft driven glasses. We conclude that growing dense active matter and sheared dense suspensions can generically be described by the same underlying physics.

arXiv comment14 pages, 6 figures

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Cited by in corpus (8)

• Hydrodynamic effects on the liquid-hexatic transition of active colloids
• Mechanical feedback controls the emergence of dynamical memory in growing tissue monolayers
• Biased ensembles of pulsating active matter
• Effects of curvature on growing films of microorganisms
• Exact Results in Stochastic Processes with Division, Death, and Diffusion: Spatial Correlations, Marginal Entropy Production, and Macroscopic Currents
• The intertwined physics of active chemical reactions and phase separation
• Mechanically-driven Stem Cell Separation in Tissues caused by Proliferating Daughter Cells
• Correlated escape of active particles across a potential barrier