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We propose a simple deterministic dynamic equation and reveal the mechanism of large-scale endless evolvement of spatial density inhomogeneity in active nematic. We determine the phase regions analytically. The interplay of density,…

Statistical Mechanics · Physics 2010-11-25 Xia-qing Shi , Yu-qiang Ma

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

Statistical Mechanics · Physics 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

Large density fluctuations observed in active systems and hyperuniformity are two seemingly incompatible phenomena. However, the formation of hyperuniform states has been recently predicted in non-equilibrium fluids formed by chiral…

Soft Condensed Matter · Physics 2022-05-31 Bo Zhang , Alexey Snezhko

We report the emergence of large-scale hyperuniformity in microfluidic emulsions. Upon periodic driving confined emulsions undergo a first-order transition from a reversible to an irreversible dynamics. We evidence that this dynamical…

Soft Condensed Matter · Physics 2015-09-09 Joost H. Weijs , Raphaël Jeanneret , Rémi Dreyfus , Denis Bartolo

How condensed-matter simulations depend on the number of molecules being simulated ($N$) is sometimes itself a valuable piece of information. Liquid crystals provide a case in point. Light scattering and $2d$-IR experiments on…

Soft Condensed Matter · Physics 2024-12-20 Eleftherios Mainas , Richard M. Stratt

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

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong…

Statistical Mechanics · Physics 2023-07-21 Mustansir Barma

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

We analyse large deviations of the dynamical activity in one-dimensional systems of diffusing hard particles. Using an optimal-control representation of the large-deviation problem, we analyse effective interaction forces which can be added…

Statistical Mechanics · Physics 2020-01-22 Jakub Dolezal , Robert L. Jack

Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

Increasing evidence suggests that active matter exhibits instances of mixed symmetry that cannot be fully described by either polar or nematic formalism. Here, we introduce a minimal model that integrates self-propulsion into the active…

Soft Condensed Matter · Physics 2025-09-03 Niels de Graaf Sousa , Simon Guldager Andersen , Aleksandra Ardaševa , Amin Doostmohammadi

Depinning and nonequilibrium transitions within sliding states in systems driven over quenched disorder arise across a wide spectrum of size scales ranging from atomic friction at the nanoscale, flux motion in type-II superconductors at the…

Soft Condensed Matter · Physics 2017-03-22 Cs. Sándor , A. Libál , C. Reichhardt , C. J. Olson Reichhardt

Many systems in nature, from ferromagnets to flocks of birds, exhibit ordering phenomena on the large scale. In physical systems order is statistically robust for large enough dimensions, with relative fluctuations due to noise vanishing…

Statistical Mechanics · Physics 2017-04-05 Andrea Cavagna , Irene Giardina , Asja Jelic , Edmondo Silvestri , Massimiliano Viale

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

The possibility is investigated that competition between fluctuations at different symmetry-related ordering wave vectors may affect the quantum phase transition between a fermi liquid and a longitudinal spin density wave state, in…

Strongly Correlated Electrons · Physics 2010-02-22 A. J. Millis

Living materials such as biological tissues or bacterial colonies are collections of heterogeneous entities of different sizes, capable of autonomous motion, and often capable of cooperating. Such a degree of complexity brings to collective…

Soft Condensed Matter · Physics 2024-01-24 Matteo Paoluzzi , Demian Levis , Ignacio Pagonabarraga

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

Statistical Mechanics · Physics 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

Random point configurations are said to be in hyperuniform states, if density fluctuations are anomalously suppressed in large-scale. Typical examples are found in Coulomb gas systems in two dimensions especially called log-gases in random…

Statistical Mechanics · Physics 2025-05-27 Ayana Ezoe , Makoto Katori , Tomoyuki Shirai

We demonstrate that hyperuniformity, the suppression of density fluctuations at large length scales, emerges generically from the interplay between conservation laws and non-equilibrium driving. The underlying mechanism for this emergence…

Statistical Mechanics · Physics 2025-12-09 Raphaël Maire , Ludivine Chaix