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We present a geometric variational discretization of nonlinear elasticity in 2D and 3D in the Lagrangian description. A main step in our construction is the definition of discrete deformation gradients and discrete Cauchy-Green deformation…

Numerical Analysis · Mathematics 2022-10-19 François Demoures , François Gay-Balmaz

Eulerian and Lagrangian tools are used to detect coherent structures in the velocity and magnetic fields of a mean--field dynamo, produced by direct numerical simulations of the three--dimensional compressible magnetohydrodynamic equations…

Solar and Stellar Astrophysics · Physics 2013-11-21 Erico L. Rempel , Abraham C. -L. Chian , Axel Brandenburg , Pablo R. Muñoz

In vivo and in vitro systems of cells and extra-cellular matrix (ECM) systems are well known to form ordered patterns of orientationally aligned fibers. Here, we interpret them as active analogs of the (disordered) isotropic to the…

Soft Condensed Matter · Physics 2025-04-11 Haiqian Yang , Ming Guo , L. Mahadevan

Efficient nutrient mixing is crucial for the survival of bacterial colonies and other living systems. This raises the question of whether the optimization of mixing through the emergence of active turbulent motion in bacterial swarms played…

Soft Condensed Matter · Physics 2022-09-27 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

Active matter locally converts chemical energy into mechanical work and, for this reason, it provides new mechanisms of pattern formation. In particular, active gels made of protein motors and filaments are far-from-equilibrium systems that…

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

We numerically study two-dimensional active nematics with periodic activity patterning. For stripes of activity, we observe a transition from two-dimensional to one-dimensional active turbulence as the maximum active force and distance…

Soft Condensed Matter · Physics 2025-03-11 Cody D. Schimming , C. J. O. Reichhardt , C. Reichhardt

We consider a phenomenological continuum theory for an extensile, overdamped active nematic liquid crystal, applicable in the dense regime. Constructed from general principles, the theory is universal, with parameters independent of any…

Soft Condensed Matter · Physics 2015-06-12 Elias Putzig , Gabriel S. Redner , Arvind Baskaran , Aparna Baskaran

Polymers with active segments constitute prospective future materials and are used as a model for some biological systems such as chromatin. The directions of the active forces are typically introduced with temporal or spatial correlations…

Soft Condensed Matter · Physics 2024-11-25 Adam H. T. P. Höfler , Iurii Chubak , Christos N. Likos , Jan Smrek

Self-organized dynamic patterns in dense active matter are striking manifestations of non-equilibrium physics. A prominent example is the macroscopic elliptical motion observed in quasi-2D bacterial suspensions, which has lacked a physical…

Soft Condensed Matter · Physics 2026-03-30 Bing Miao , Lei-Han Tang

In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schr\"odinger equation. In the present work, we present a systematic study of…

Pattern Formation and Solitons · Physics 2024-07-25 Ross Parker , Pierre Germain , Jesús Cuevas-Maraver , Alejandro Aceves , P. G. Kevrekidis

We consider a phase-separating mixture of active and passive fluids and explore morphological asymmetries of the emerging dominantly bicontinous dynamic emulsion. Two-dimensional numerical simulations reveal that the geometric and…

Soft Condensed Matter · Physics 2026-01-22 Rainer Backofen , Axel Voigt

We investigate the dynamics of an active particle in two-dimensional spherical crystals, which provide an ideal environment to illustrate the interplay of active particle and crystallographic defects. A moving active particle is observed to…

Soft Condensed Matter · Physics 2016-08-05 Zhenwei Yao

Accurate prediction of Lagrangian trajectories in turbulent flow remains challenging due to limited temporal information in transport functions. This paper shows that surrounding coherent motions sharing the same dynamics carry enough…

Fluid Dynamics · Physics 2026-05-07 Ali R Khojasteh , Dominique Heitz

We investigate channel-confined, nematic liquid crystals using the Beris-Edwards model of nematohydrodynamics. Using strong homeotropic anchoring at the walls, we find multistability i.e. multiple coexisting states where the uniform nematic…

Soft Condensed Matter · Physics 2025-11-19 Rahil N. Valani , Sumesh Thampi , Julia M. Yeomans

The physics of behavior seeks simple descriptions of animal behavior. The field has advanced rapidly by using techniques in low dimensional dynamics distilled from computer vision. Yet, we still do not generally understand the rules which…

Biological Physics · Physics 2021-07-08 Matthew S. Bull , Manu Prakash

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

Chaotic Dynamics · Physics 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

Hydrodynamic interactions can generate rich emergent structures in active matter systems. Using large-scale hydrodynamic simulations, we demonstrate that hydrodynamic coupling alone can drive spontaneous self-organization across a hierarchy…

Soft Condensed Matter · Physics 2025-11-17 Zaiyi Shen , Leilei Wang , Shishuang Zhang , Chenlu Li , Kaili Xie , Xu Zheng , Juho S. Lintuvuori

The cytoskeleton is an important subsystem of cells that is involved for example in cell division and locomotion. It consists of filaments that are cross-linked by molecular motors that can induce relative sliding between filaments and…

Statistical Mechanics · Physics 2007-08-08 P. K. Mohanty , K. Kruse

We introduce a general description of localised distortions in active nematics using the framework of active nematic multipoles. We give the Stokesian flows for arbitrary multipoles in terms of differentiation of a fundamental flow response…

Soft Condensed Matter · Physics 2023-04-04 Alexander J. H. Houston , Gareth P. Alexander
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