Reaction-diffusion phenomena in antagonistic bipolar diffusion fields

2021 ◽  
Author(s):  
Brigitta Dúzs ◽  
Istvan Szalai
Keyword(s):  
Reaction Diffusion ◽  
Spatial Control ◽  
Reaction Diffusion Systems ◽  
Chemical Systems ◽  
Diffusion Systems ◽  
Diffusion Phenomena ◽  
Nonequilibrium Conditions ◽  
Temporal And Spatial

Operating natural or artificial chemical systems requires nonequilibrium conditions at which temporal and spatial control of the process is realizable. Open reaction-diffusion systems provide a general way to create such...

Coupled and forced patterns in reaction–diffusion systems

2007 ◽  
Vol 366 (1864) ◽  
pp. 397-408 ◽  
Author(s):  
Irving R Epstein ◽  
Igal B Berenstein ◽  
Milos Dolnik ◽  
Vladimir K Vanag ◽  
Lingfa Yang ◽  
...  
Keyword(s):  
Plane Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Chemical Systems ◽  
Diffusion Systems ◽  
Spatially Distributed ◽  
Acid Reaction ◽  
Observed Behaviour ◽  
Spatio Temporal ◽  
Turing Structures

Several reaction–diffusion systems that exhibit temporal periodicity when well mixed also display spatio-temporal pattern formation in a spatially distributed, unstirred configuration. These patterns can be travelling (e.g. spirals, concentric circles, plane waves) or stationary in space (Turing structures, standing waves). The behaviour of coupled and forced temporal oscillators has been well studied, but much less is known about the phenomenology of forced and coupled patterns. We present experimental results focusing primarily on coupled patterns in two chemical systems, the chlorine dioxide–iodine–malonic acid reaction and the Belousov–Zhabotinsky reaction. The observed behaviour can be simulated with simple chemically plausible models.

scholarly journals Complex Pacemakers and Wave Sinks in Heterogeneous Oscillatory Chemical Systems

2002 ◽  
Vol 216 (4) ◽  
Author(s):  
Michael Stich ◽  
Alexander S. Mikhailov
Keyword(s):  
Reaction Diffusion ◽  
Frequency Shifts ◽  
Reaction Diffusion Systems ◽  
Sources And Sinks ◽  
Chemical Systems ◽  
Diffusion Systems ◽  
Wave Patterns ◽  
Oscillatory Chemical ◽  
Local Shift ◽  
Phase Slips

We investigate pattern formation in oscillatory reaction-diffusion systems where wave sources and sinks are created by a local shift of the oscillation frequency. General properties of resulting wave patterns in media with positive and negative dispersion are discussed. It is shown that phase slips in the wave patterns develop for strong frequency shifts, indicating the onset of desynchronization in the medium.

scholarly journals Recent advances in the temporal and spatiotemporal dynamics induced by bromate–sulfite-based pH-oscillators

2021 ◽  
Author(s):  
István Szalai ◽  
Brigitta Dúzs ◽  
István Molnár ◽  
Krisztina Kurin-Csörgei ◽  
Miklós Orbán
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Dynamics ◽  
Physical Processes ◽  
Oxidation Number ◽  
Adsorption Ability ◽  
Chemical Oscillators ◽  
Reaction Diffusion Systems ◽  
Numerical Studies ◽  
Diffusion Systems ◽  
Diffusion Phenomena

AbstractThe bromate–sulfite reaction-based pH-oscillators represent one of the most useful subgroup among the chemical oscillators. They provide strong H+-pulses which can generate temporal oscillations in other systems coupled to them and they show wide variety of spatiotemporal dynamics when they are carried out in different gel reactors. Some examples are discussed. When pH-dependent chemical and physical processes are linked to a bromate–sulfite-based oscillator, rhythmic changes can appear in the concentration of some cations and anions, in the distribution of the species in a pH-sensitive stepwise complex formation, in the oxidation number of the central cation in a chelate complex, in the volume or the desorption-adsorption ability of a piece of gel. These reactions are quite suitable for generating spatiotemporal patterns in open reactors. Many reaction–diffusion phenomena, moving and stationary patterns, have been recently observed experimentally using different reactor configurations, which allow exploring the effect of different initial and boundary conditions. Here, we summarize the most relevant aspects of these experimental and numerical studies on bromate–sulfite reaction-based reaction–diffusion systems.

scholarly journals Insights from chemical systems into Turing-type morphogenesis

2021 ◽  
Vol 379 (2213) ◽  
Author(s):  
C. Konow ◽  
M. Dolnik ◽  
I. R. Epstein
Keyword(s):  
Reaction Diffusion ◽  
Behavioural Science ◽  
Future Directions ◽  
Reaction Diffusion Systems ◽  
Chemical Systems ◽  
Alan Turing ◽  
Diffusion Systems ◽  
Chemical Studies ◽  
Historical Role ◽  
Turing Mechanism

In 1952, Alan Turing proposed a theory showing how morphogenesis could occur from a simple two morphogen reaction–diffusion system [Turing, A. M. (1952) Phil. Trans. R. Soc. Lond. A 237 , 37–72. (doi:10.1098/rstb.1952.0012)]. While the model is simple, it has found diverse applications in fields such as biology, ecology, behavioural science, mathematics and chemistry. Chemistry in particular has made significant contributions to the study of Turing-type morphogenesis, providing multiple reproducible experimental methods to both predict and study new behaviours and dynamics generated in reaction–diffusion systems. In this review, we highlight the historical role chemistry has played in the study of the Turing mechanism, summarize the numerous insights chemical systems have yielded into both the dynamics and the morphological behaviour of Turing patterns, and suggest future directions for chemical studies into Turing-type morphogenesis. This article is part of the theme issue ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’.

MULTIPARTICLE LATTICE GAS AUTOMATA FOR REACTION DIFFUSION SYSTEMS

1994 ◽  
Vol 05 (01) ◽  
pp. 47-63 ◽  
Author(s):  
BASTIEN CHOPARD ◽  
LAURENT FRACHEBOURG ◽  
MICHEL DROZ
Keyword(s):  
Degrees Of Freedom ◽  
Lattice Gas ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Lattice Gas Automata ◽  
Diffusion Systems ◽  
Diffusion Phenomena ◽  
New Algorithms ◽  
Number Of Particles

Lattice gas automata are a powerful tool to model reaction-diffusion processes. However, the evolution rules limit the number of particles that can be present at each lattice site. This restriction is often a strong limitation to modelling several reaction-diffusion phenomena and, also, lead to very noisy numerical simulations. We propose and study new algorithms which allow for an arbitrary number of particle, while keeping the benefits of the cellular automata approach (close to a microscopic level of description, deal correctly with all degrees of freedom, and is numerically exact).

Sign in / Sign up

Export Citation Format

Share Document