Transition from traveling to standing waves as a function of frequency in a reaction-diffusion system

Cuiñas, Daniel; Berenstein, Igal; Landeira, Jorge Carballido; Muñuzuri, Alberto P.

doi:10.1063/1.2946697

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…Notably, the dependence of the oscillation period in our system on the concentration of PEG added to a solution is markedly different from that observed for the BZ reaction in solution where the increase in PEG decreases the oscillation period. [37][38][39] One of the factors that contributes to this difference in behavior could be the fact that the addition of PEG, and the corresponding increase in viscosity, strongly alters the contribution of convection to the dynamics of BZ reaction in solution; 40 notably, when the BZ reaction occurs in gel systems, the hydrodynamic effects are eliminated. 41 In addition, immersing our chemoresponsive gel in a higher viscosity solvent is also expected to modify the mobility of the polymer network; if this mobility becomes sufficiently low it might correspondingly contribute to the observed increase in the oscillation period.…”

Section: Solution-based Effects On Period Of Oscillationsmentioning

confidence: 99%

UV patternable thin film chemistry for shape and functionally versatile self-oscillating gels

et al. 2013

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Section: Solution-based Effects On Period Of Oscillationsmentioning

confidence: 99%

UV patternable thin film chemistry for shape and functionally versatile self-oscillating gels

et al. 2013

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“…The study of D. Cuiñas et al investigated the transition from traveling to standing waves in a reaction-diffusion system as a function of frequency [15]. The researchers noted that a further increase in frequency led to yet another transition, this time resulting in bulk oscillations.…”

Section: Discussionmentioning

confidence: 99%

The appearance of standing wave structures in the reaction medium during the diffusion development of the chain reaction process

Sargsyan,

Silveistr,

Lysyi

et al. 2023

Scientific Herald of Uzhhorod University Series Physics

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Relevance. Understanding the dynamic behavior of radicals in reactors undergoing gas-phase oxidation of organic substances is crucial for optimizing reactor design and safety across industries. Purpose. This study aims to elucidate the emergence of standing wave structures influenced by feedback mechanisms in reactors with cylindrical and spherical symmetry, using mathematical principles governing the propagation of oscillations and shock waves in diffusion-driven chain reactions. Methodology. Materials and methods for the research included a computer simulation using MATHCAD 2001i, and comparative analysis of experimental data obtained from reactor experiments. The computational modeling revealed vivid formations of standing wave structures in reactors influenced by feedback mechanisms. Results. The impact of reverse connections in reactors with cylindrical and spherical symmetry significantly contributed to the formation of various standing wave structures of radical concentrations within the reaction zone. It was found that these structures were largely imperceptible visually and could only be observed when the reaction was accompanied by intense light emission. These visual representations served as compelling evidence of the intricate interplay between reaction kinetics and feedback effects. The study emphasized the importance of understanding and predicting the root causes of instabilities, ultimately enhancing the reliability and safety of reactors across various industries. The results demonstrated a correlation between specific feedback mechanisms and the spatial distribution of standing wave structures. Conclusions. The derived computational patterns, as presented in this paper, provide compelling evidence supporting the feasibility of standing wave structure formation within reactors when influenced by feedback mechanisms. The study unveiled the potential for fine-tuning reactor parameters to influence the formation and stability of these structures. The findings represented a significant stride towards a more comprehensive understanding of dynamic regimes in reactors, with implications for reactor design, operation, and safety protocols. The insights garnered from uncovering standing wave structures influenced by feedback mechanisms offered valuable opportunities to optimize reactor design and operational safety, leading to more efficient and sustainable processes

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General conditions for Turing and wave instabilities in reaction -diffusion systems

Villar-Sepúlveda

Champneys

2023

J. Math. Biol.

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Necessary and sufficient conditions are provided for a diffusion-driven instability of a stable equilibrium of a reaction–diffusion system with n components and diagonal diffusion matrix. These can be either Turing or wave instabilities. Known necessary and sufficient conditions are reproduced for there to exist diffusion rates that cause a Turing bifurcation of a stable homogeneous state in the absence of diffusion. The method of proof here though, which is based on study of dispersion relations in the contrasting limits in which the wavenumber tends to zero and to $$\infty $$ ∞ , gives a constructive method for choosing diffusion constants. The results are illustrated on a 3-component FitzHugh–Nagumo-like model proposed to study excitable wavetrains, and for two different coupled Brusselator systems with 4-components.

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Transition from traveling to standing waves as a function of frequency in a reaction-diffusion system

Cited by 3 publications

References 9 publications

UV patternable thin film chemistry for shape and functionally versatile self-oscillating gels

UV patternable thin film chemistry for shape and functionally versatile self-oscillating gels

The appearance of standing wave structures in the reaction medium during the diffusion development of the chain reaction process

General conditions for Turing and wave instabilities in reaction -diffusion systems

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