Active uniaxially ordered suspensions on disordered substrates

Abstract

Multiple experiments on active systems consider oriented active suspensions on substrates or in chambers confined along one direction. The theories of polar and apolar phases in such geometries were considered in A. Maitra et al, arXiv 1901.01069 and A. Maitra et al., PNAS 115, 6934 (2018) respectively. However, the presence of quenched random disorder due to the substrate cannot be completely eliminated in many experimental contexts possibly masking the predictions from those theories. In this paper, I consider the effect of quenched orientational disorder on the phase behaviour of both polar and apolar suspensions on substrates. I show that polar suspensions have long-range order in two dimensions with anomalous number fluctuations, while their apolar counterparts have only short-range order, albeit with a correlation length that can increase with activity, and even more violent number fluctuations than active nematics without quenched disorder. These results should be of value in interpreting experiments on active suspensions on substrates with random disorder.

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Cited by in corpus (6)

• Chemotactic smoothing of collective migration
• Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
• Packed swarms on dirt: two-dimensional incompressible flocks with quenched and annealed disorder
• Active nematics with quenched disorder
• Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder
• Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks