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The spontaneous formation of patterns in dynamical systems is a rich phenomenon that transcends scientific boundaries. Here, we report our observation of coupled optical-atomic pattern formation, which results in the creation of…

Atomic Physics · Physics 2016-10-17 Bonnie L. Schmittberger , Daniel J. Gauthier

Engineering synthetic materials that mimic the remarkable complexity of living organisms is a fundamental challenge in science and technology. We study the spatiotemporal patterns that emerge when an active nematicfilm of microtubules and…

We present a dynamical model of crystal growth, in which it is possible to reliably achieve asymmetric products, beginning from symmetric initial conditions and growing within an isotropic environment. The asymmetric growth is the result of…

Statistical Mechanics · Physics 2025-03-20 Sam Oaks-Leaf , David T. Limmer

There is no much doubt that biotic interactions shape community assembly and ultimately the spatial co-variations between species. There is a hope that the signal of these biotic interactions can be observed and retrieved by investigating…

Machine Learning · Statistics 2025-07-15 Sara Si-Moussi , Esther Galbrun , Mickael Hedde , Giovanni Poggiato , Matthias Rohr , Wilfried Thuiller

We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set…

Soft Condensed Matter · Physics 2007-05-23 Igor S. Aranson , Lev S. Tsimring

Turing instability in activator-inhibitor systems provides a paradigm of nonequilibrium pattern formation; it has been extensively investigated for biological and chemical processes. Turing pattern formation should furthermore be possible…

Adaptation and Self-Organizing Systems · Physics 2010-05-13 Hiroya Nakao , Alexander S. Mikhailov

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

An amalgamate of nematic liquid crystals and active matter, referred to as living liquid crystals, is a promising self-healing material with futuristic applications for targeted delivery of information and micro-cargo. We provide a…

Computational Physics · Physics 2023-08-16 Aditya Vats , Pradeep Kumar Yadav , Varsha Banerjee , Sanjay Puri

Equilibrium self-assembly and conventional materials processing techniques fall far short of mimicking dynamic self-actuating processes that are commonplace throughout biology. To bridge the gap between living and synthetic matter, we study…

The relationship between a driven extended system and an autonomous spatiotemporal system is investigated in the context of coupled map lattice models. Specifically, a locally coupled map lattice subjected to an external drive is compared…

Chaotic Dynamics · Physics 2009-11-07 M. G. Cosenza , M. Pineda , A. Parravano

We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new…

Analysis of PDEs · Mathematics 2007-05-23 Stephane Genieys , Vitaly Volpert , Pierre Auger

Active nematics undergo spontaneous symmetry breaking and show phase separation instability. Within the prevailing notion that macroscopic properties depend only on symmetries and conservation laws, different microscopic models are used out…

Soft Condensed Matter · Physics 2024-10-08 Arpan Sinha , Debasish Chaudhuri

Active nematic systems consist of rod-like internally driven subunits that interact with one another to form large-scale coherent flows. They are important examples of far-from-equilibrium fluids, which exhibit a wealth of nonlinear…

Soft Condensed Matter · Physics 2025-06-27 Kevin A. Mitchell , Md Mainul Hasan Sabbir , Sean Ricarte , Brandon Klein , Daniel A. Beller

The theoretical understanding of pattern formation in active systems remains a central problem of interest. Heterogeneous flocks made up of multiple species can exhibit a remarkable diversity of collective states that cannot be obtained…

Statistical Mechanics · Physics 2025-12-23 Eloise Lardet , Letian Chen , Thibault Bertrand

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical…

Biological Physics · Physics 2019-07-24 Maryam Aliee , Arezki Boudaoud

Motor proteins drive persistent motion and self-organisation of cytoskeletal filaments. However, state-of-the-art microscopy techniques and continuum modelling approaches focus on large length and time scales. Here, we perform…

Soft Condensed Matter · Physics 2024-06-03 Gerrit Vliegenthart , Arvind Ravichandran , Marisol Ripoll , Thorsten Auth , Gerhard Gompper

Field patterns occur in space-time microstructures such that a disturbance propagating along a characteristic line does not evolve into a cascade of disturbances, but rather concentrates on a pattern of characteristic lines. This pattern is…

Optics · Physics 2017-02-15 Graeme W. Milton , Ornella Mattei

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

Statistical Mechanics · Physics 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

Soft Condensed Matter · Physics 2026-05-07 C. Reichhardt , C. J. O. Reichhardt