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Related papers: Coupling Turing stripes to active flows

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We investigate the dispersion of solutes in active nematic fluids confined in narrow channels based on simulations of nematohydrodynamics. The study focuses on two pre-turbulent regimes: oscillatory flow, with net mass flux, and dancing…

Soft Condensed Matter · Physics 2026-04-13 Tomás Alvim , Margarida M. Telo da Gama , Rodrigo C. V. Coelho

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

We use a continuum, two-fluid approach to study a mixture of two active nematic fluids. Even in the absence of thermodynamically-driven ordering, for mixtures of different activities we observe turbulent microphase separation, where domains…

Soft Condensed Matter · Physics 2025-02-03 Saraswat Bhattacharyya , Julia M. Yeomans

Recent experiments on active materials, such as dense bacterial suspensions and microtubule-kinesin motor mixtures, show a promising potential for achieving self-sustained flows. However, to develop active microfluidics it is necessary to…

Soft Condensed Matter · Physics 2019-01-23 Santhan Chandragiri , Amin Doostmohammadi , Julia M Yeomans , Sumesh P Thampi

We show that the Turing patterns in reaction systems with subdiffusion can be replicated in an effective system with Markovian cross-diffusion. The effective system has the same Turing instability as the original system, and the same…

Pattern Formation and Solitons · Physics 2020-01-29 Joseph W. Baron , Tobias Galla

Turing patterns are a central paradigm for describing spatial patterns in nature. The corresponding theory of reaction-diffusion dynamics combines ideal diffusion with nonlinear reactions, resulting in patterns when species diffuse at…

Biological Physics · Physics 2026-01-28 Cathelijne ter Burg , David Zwicker

Several mechanisms have been proposed to explain the spontaneous generation of self-organized patterns, hypothesised to play a role in the formation of many of the magnificent patterns observed in Nature. In several cases of interest, the…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Malbor Asllani , Duccio Fanelli , Philip K. Maini , Timoteo Carletti

Motivated by the observation of highly unstable flowing states in suspensions of microtubules and kinesin, we analyze a model of mutually-propelled filaments suspended in a solvent. The system undergoes a mean-field isotropic-nematic…

Soft Condensed Matter · Physics 2015-05-30 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

We investigate Turing instability and pattern formation in two-dimensional domains for two reaction-diffusion models, obtained as diffusive limits of kinetic equations for mixtures of monatomic and polyatomic gases. The first model is of…

Mathematical Physics · Physics 2026-02-23 Stefano Boccelli , Giorgio Martalò , Romina Travaglini

To study the impact of active systems on their surroundings, we introduce a model that couples an active nematic fluid to an isotropic substrate fluid via friction. We numerically show that as the active layer develops turbulence, the…

Soft Condensed Matter · Physics 2025-12-01 Gianmarco Spera , Julia M. Yeomans , Sumesh P. Thampi

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

In active nematic liquid crystals activity is able to drive chaotic spatiotemporal flows referred to as active turbulence. Active turbulence has been characterized through theoretical and experimental work as a low Reynolds number…

Soft Condensed Matter · Physics 2022-11-30 C. Rorai , F. Toschi , I. Pagonabarraga

We study phase-separating fluid mixtures as they demix in the presence of chemical reactions that maintain them away from thermodynamic equilibrium. We show that in such chemically active emulsions the interplay of chemical reactions, phase…

Fluid Dynamics · Physics 2025-09-22 Charu Datt , Jonathan Bauermann , Nazmi Burak Budanur , Frank Jülicher

Turing patterns in reaction-diffusion (RD) systems have classically been studied only in RD systems which do not explicitly depend on independent variables such as space. In practise, many systems for which Turing patterning is important…

Analysis of PDEs · Mathematics 2023-01-23 Jacob C. Vandenberg , Mark B. Flegg

In this paper, I prove necessary and sufficient conditions for the existence of Turing instabilities in a general system with three interacting species. Turing instabilities describe situations when a stable steady state of a reaction…

Pattern Formation and Solitons · Physics 2024-05-24 Vit Piskovsky

Reaction-diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal-mesenchymal coupling in development, and symmetry-breaking in cell polarisation. We develop…

Pattern Formation and Solitons · Physics 2020-09-18 Andrew L. Krause , Václav Klika , Jacob Halatek , Paul K. Grant , Thomas E. Woolley , Neil Dalchau , Eamonn A. Gaffney

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

Active nematic fluids confined in narrow channels generate spontaneous flows when the activity is sufficiently intense. Recently, it was shown that if the molecular anchoring at the channel walls is conflicting flows are initiated even in…

Soft Condensed Matter · Physics 2021-11-02 C. Rorai , F. Toschi , I. Pagonabarraga

We study the dynamics of active nematic films on a substrate driven by active flows with or without the incompressible constraint.Through simulations and theoretical analysis, we show that arch patterns are stable in the compressible case,…

Soft Condensed Matter · Physics 2022-11-30 Supavit Pokawanvit , Zhitao Chen , Zhihong You , Luiza Angheluta , M. Cristina Marchetti , Mark J. Bowick

In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious. In line with Barkley's recent work about the…

Fluid Dynamics · Physics 2015-06-05 Paul Manneville