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Related papers: Long-Range Nematic Order in Two-Dimensional Active…

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We introduce and study in two dimensions a new class of dry, aligning, active matter that exhibits a direct transition to orientational order, without the phase-separation phenomenology usually observed in this context. Characterized by…

Soft Condensed Matter · Physics 2018-06-27 B. Mahault , X. -c. Jiang , E. Bertin , Y. -q. Ma , A. Patelli , X. -q. Shi , H. Chaté

We consider a collection of self-driven apolar particles on a substrate that organize into an active nematic phase at sufficiently high density or low noise. Using the dynamical renormalization group, we systematically study the 2d…

Soft Condensed Matter · Physics 2018-02-07 Suraj Shankar , Sriram Ramaswamy , M. Cristina Marchetti

I show that two-dimensional nematic order in an active fluid film can be stable and long-ranged if exchange of particles and momentum with an ambient three-dimensional fluid is allowed. Number-conserving films present an instability, with a…

Soft Condensed Matter · Physics 2021-02-26 Ananyo Maitra

Quasi-long ranged order is the hallmark of two-dimensional liquid crystals. At equilibrium, this property implies that the correlation function of the local orientational order parameter decays with distance as a power law: i.e.…

Soft Condensed Matter · Physics 2023-11-07 Livio Nicola Carenza , Josep-Maria Armengol-Collado , Dimitrios Krommydas , Luca Giomi

We use linear stability analysis to show that an isotropic phase of elongated particles with dipolar flow fields can develop nematic order as a result of their activity. We argue that ordering is favoured if the particles are flow-aligning…

Soft Condensed Matter · Physics 2020-03-18 Sreejith Santhosh , Mehrana R. Nejad , Amin Doostmohammadi , Julia M. Yeomans , Sumesh P. Thampi

I reanalyze the hydrodynamic theory of fluid, polar ordered flocks. I find new linear terms in the hydrodynamic equations which slightly modify the anisotropy, but not the scaling, of the damping of sound modes. I also find that the…

Other Condensed Matter · Physics 2015-06-04 John Toner

We study, in two space dimensions, the large-scale properties of collections of constant-speed polar point particles interacting locally by nematic alignment in the presence of noise. This minimal approach to self-propelled rods allows one…

Soft Condensed Matter · Physics 2015-05-14 F. Ginelli , F. Peruani , M. Baer , H. Chate

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

We show that a point process of hard spheres exhibits long-range orientational order. This process is designed to be a random perturbation of a three-dimensional lattice that satisfies a specific rigidity property, examples include the FCC…

Probability · Mathematics 2019-11-07 Alexisz Tamás Gaál

Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when…

Soft Condensed Matter · Physics 2024-07-15 Madhuvanthi Guruprasad Athani , Daniel A. Beller

We study the long-range order in two dimensions where an order parameter is advected by laminar flows such as rotational, shear, and elongational flows. Under these flows, we analyze an ordered state of the $O(N)$ scalar model in the…

Statistical Mechanics · Physics 2024-10-08 Yuki Minami , Hiroyoshi Nakano

We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset…

Soft Condensed Matter · Physics 2014-09-16 Sandrine Ngo , Anton Peshkov , Igor S. Aranson , Eric Bertin , Francesco Ginelli , Hugues Chaté

Emergent order resulting from spontaneous symmetry breakings has been a central topic in statistical physics. Active matter systems composed of nonequilibrium elements exhibit a diverse range of fascinating phenomena beyond equilibrium…

Statistical Mechanics · Physics 2023-07-03 Daiki Nishiguchi

We use a fluctuating hydrodynamic approach to calculate the orientation fluctuations correlation functions of a thermotropic nematic liquid crystal in a nonequilibrium state induced by a stationay heat flux. Since in this nonequilibrium…

Statistical Mechanics · Physics 2016-08-16 R. F. Rodríguez , H. Híjar

At low temperatures, some lattice spin models with simple ferromagnetic or antiferromagnetic interactions (for example nearest-neighbour interaction being isotropic in spin space on a bipartite three-dimensional lattice) produce…

Statistical Mechanics · Physics 2014-09-16 H. Chamati , S. Romano

We investigate the emergence of orientational order among +1/2 disclinations in active nematic liquid crystals. Using a combination of theoretical and experimental methods, we show that +1/2 disclinations have short-range antiferromagnetic…

Soft Condensed Matter · Physics 2021-11-08 D. J. G. Pearce , J. Nambisan , P. W. Ellis , A. Fernandez-Nieves , L. Giomi

We consider a two-dimensional athermal binary mixture of Lennard-Jones particles with persistent random active forces. The liquid phase of this system for active forces exceeding a threshold value exhibits self-organization with long-range…

Soft Condensed Matter · Physics 2025-12-24 Atharva Shukla , Chandan Dasgupta

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The…

Soft Condensed Matter · Physics 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

We study analytically the ordering kinetics of the two-dimensional long-range voter model on a two-dimensional lattice, where agents on each vertex take the opinion of others at distance $r$ with probability $P(r) \propto r^{-\al}$. The…

Statistical Mechanics · Physics 2024-04-11 Federico Corberi , Luca Smaldone

Novel "smectic-P" behavior, in which self-propelled particles form rows and move on average along them, occurs generically within the orientationally-ordered phase of simple models that we simulate. Both apolar (head-tail symmetric) and…

Soft Condensed Matter · Physics 2016-06-22 Pawel Romanczuk , Hugues Chaté , Leiming Chen , Sandrine Ngo , John Toner
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