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We present a comprehensive theory of the dynamics and fluctuations of a two-dimensional suspension of polar active particles in an incompressible fluid confined to a substrate. We show that, depending on the sign of a single parameter, a…

Soft Condensed Matter · Physics 2020-01-22 Ananyo Maitra , Pragya Srivastava , M. Cristina Marchetti , Sriram Ramaswamy , Martin Lenz

The effect of quenched (frozen) disorder on the collective motion of active particles is analyzed. We find that active polar systems are far more robust against quenched disorder than equilibrium ferromagnets. Long ranged order (a non-zero…

Statistical Mechanics · Physics 2018-12-19 John Toner , Nicholas Guttenberg , Yuhai Tu

The effect of quenched (frozen) orientational disorder on the collective motion of active particles is analyzed. We find that, as with annealed disorder (Langevin noise), active polar systems are far more robust against quenched disorder…

Statistical Mechanics · Physics 2018-12-19 John Toner , Nicholas Guttenberg , Yuhai Tu

Suspensions of actively driven anisotropic objects exhibit distinctively nonequilibrium behaviors, and current theories predict that they are incapable of sustaining orientational order at high activity. By contrast, here we show that…

With quenched disorder, we introduce two-dimensional active nematics suspended in an incompressible fluid. We write the coarse-grained hydrodynamic equations of motion for slow variables, viz. density, orientation and flow fields. The…

Soft Condensed Matter · Physics 2022-10-14 Sameer Kumar , Shradha Mishra

We show that incompressible polar active fluids can exhibit an ordered, coherently moving phase even in the presence of quenched disorder in two dimensions. Unlike such active fluids with annealed (i.e., time-dependent) disorder only, which…

Soft Condensed Matter · Physics 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

We introduce a two-dimensional active nematic with quenched disorder. We write the coarse-grained hydrodynamic equations of motion for slow variables, viz. density, and orientation. Disorder strength is tuned from zero to large values.…

Soft Condensed Matter · Physics 2021-07-15 Sameer Kumar , Shradha Mishra

We show that spatial quenched disorder affects polar active matter in ways more complex and far-reaching than believed heretofore. Using simulations of the 2D Vicsek model subjected to random couplings or a disordered scattering field, we…

Statistical Mechanics · Physics 2021-05-05 Yu Duan , Benoît Mahault , Yu-qiang Ma , Xia-qing Shi , Hugues Chaté

Elongated active units cannot spontaneously break rotation symmetry in bulk fluids to form nematic or polar phases. This has led to the image of active suspensions as spontaneously evolving, spatiotemporally chaotic fluids. In contrast, I…

Soft Condensed Matter · Physics 2023-01-16 Ananyo Maitra

We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interactions under the effect of either quenched random forces or…

Statistical Mechanics · Physics 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier

We study the impact of a random quenched potentials and torques on scalar active matter. Microscopic simulations reveal that motility-induced phase separation is replaced in two-dimensions by an asymptotically homogeneous phase with…

Statistical Mechanics · Physics 2021-02-02 Sunghan Ro , Yariv Kafri , Mehran Kardar , Julien Tailleur

In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to…

Mathematical Physics · Physics 2025-04-17 Andrew C. Yuan , Nick Crawford

The stability of antiferromagnetic long-range order against quenched disorder is considered. A simple model of an antiferromagnet with a spatially varying Neel temperature is shown to possess a nontrivial fixed point corresponding to…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

Coupling between flow and orientation is a central issue in understanding the collective dynamics of active biofilaments and cells. Active stresses generated by motor activity destroy (quasi-)long-range orientational order and induce…

Soft Condensed Matter · Physics 2025-06-04 Yutaka Kinoshita , Nariya Uchida

We examine the instabilities of a confined active nematic subjected to an orienting field using a low Reynolds number Ericksen-Leslie framework with active stresses and field-induced torques. Linear analysis reveals two distinct modes, with…

Soft Condensed Matter · Physics 2026-05-12 I. K. Joseph , A. J. H. Houston , K. N. Kowal , N. J. Mottram

We study the impact of nematic alignment on scalar active matter in the disordered phase. We show that nematic torques control the emergent physics of particles interacting via pairwise forces and can either induce or prevent phase…

Statistical Mechanics · Physics 2024-09-18 Gianmarco Spera , Charlie Duclut , Marc Durand , Julien Tailleur

We investigate the susceptibility of long-range ordered phases of two-dimensional dry aligning active matter to population disorder, taken in the form of a distribution of intrinsic individual chiralities. Using a combination of…

Soft Condensed Matter · Physics 2021-12-15 Bruno Ventejou , Hugues Chaté , Raul Montagne , Xia-qing Shi

Recent studies of active colloidal matter have revealed that a global polar order can arise from chemorepulsive interactions among particles without any explicit alignment interaction between them. In this work, we investigate such…

Soft Condensed Matter · Physics 2026-05-05 Sagarika Adhikary , Rajesh Singh

We present a complete analysis of the linearised dynamics of active solids with orientational order, taking into account a hitherto overlooked consequence of rotation invariance. Our predictions include the possibility of stable active…

Soft Condensed Matter · Physics 2019-12-11 Ananyo Maitra , Sriram Ramaswamy

We consider a confined sheared active polar liquid crystal with a uniform orientation and study the effect of variations in the magnitude of polarization. Restricting our analysis to one-dimensional geometries, we demonstrate that with…

Soft Condensed Matter · Physics 2022-12-13 Aurore Loisy , Anthony P. Thompson , Jens Eggers , Tanniemola B. Liverpool
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