scholarly journals Reduction to a Single Closed Equation for 2-by-2 Reaction-Diffusion Systems of Lotka--Volterra Type

2016 ◽  
Vol 76 (5) ◽  
pp. 2060-2080 ◽  
Author(s):  
Martin Strugarek ◽  
Nicolas Vauchelet
Keyword(s):  
Reaction Diffusion ◽  
Volterra Type ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Closed Equation

scholarly journals Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

2021 ◽  
Vol 126 (10) ◽  
Author(s):  
Fridtjof Brauns ◽  
Henrik Weyer ◽  
Jacob Halatek ◽  
Junghoon Yoon ◽  
Erwin Frey
Keyword(s):  
Reaction Diffusion ◽  
Wavelength Selection ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

scholarly journals Self-organization of nanoparticles and molecules in periodic Liesegang-type structures

2021 ◽  
Vol 7 (16) ◽  
pp. eabe3801
Author(s):  
Amanda J. Ackroyd ◽  
Gábor Holló ◽  
Haridas Mundoor ◽  
Honghu Zhang ◽  
Oleg Gang ◽  
...  
Keyword(s):  
Constant Velocity ◽  
Periodic Structures ◽  
Reaction Diffusion ◽  
Self Organization ◽  
Reaction Diffusion Systems ◽  
Structural Hierarchy ◽  
Preparation Conditions ◽  
Diffusion Systems ◽  
Film Preparation ◽  
Self Organizing

Chemical organization in reaction-diffusion systems offers a strategy for the generation of materials with ordered morphologies and structural hierarchy. Periodic structures are formed by either molecules or nanoparticles. On the premise of new directing factors and materials, an emerging frontier is the design of systems in which the precipitation partners are nanoparticles and molecules. We show that solvent evaporation from a suspension of cellulose nanocrystals (CNCs) and l-(+)-tartaric acid [l-(+)-TA] causes phase separation and precipitation, which, being coupled with a reaction/diffusion, results in rhythmic alternation of CNC-rich and l-(+)-TA–rich rings. The CNC-rich regions have a cholesteric structure, while the l-(+)-TA–rich bands are formed by radially aligned elongated bundles. The moving edge of the pattern propagates with a finite constant velocity, which enables control of periodicity by varying film preparation conditions. This work expands knowledge about self-organizing reaction-diffusion systems and offers a strategy for the design of self-organizing materials.

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