Travelling waves in the Oregonator model for the BZ reaction

2003 ◽  
Vol 5 (24) ◽  
pp. 5448 ◽  
Author(s):  
I. Z. Kiss ◽  
J. H. Merkin ◽  
S. K. Scott ◽  
P. L. Simon
Keyword(s):  
Travelling Waves ◽  
Bz Reaction ◽  
Oregonator Model

Reduction waves in the two-variable Oregonator model for the BZ reaction

2012 ◽  
Vol 241 (16) ◽  
pp. 1336-1343
Author(s):  
J.H. Merkin ◽  
A.F. Taylor
Keyword(s):  
Bz Reaction ◽  
Oregonator Model

scholarly journals Cellular Automaton Belousov–Zhabotinsky Model for Binary Full Adder

2017 ◽  
Vol 27 (06) ◽  
pp. 1750089 ◽  
Author(s):  
Nikolaos I. Dourvas ◽  
Georgios Ch. Sirakoulis ◽  
Andrew Adamatzky
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Logic Gates ◽  
Full Adder ◽  
Wave Fronts ◽  
Excitation Wave ◽  
Bz Reaction ◽  
Computer Scientists ◽  
Oregonator Model ◽  
Logic Unit

The continuous increment in the performance of classical computers has been driven to its limit. New ways are studied to avoid this oncoming bottleneck and many answers can be found. An example is the Belousov–Zhabotinsky (BZ) reaction which includes some fundamental and essential characteristics that attract chemists, biologists, and computer scientists. Interaction of excitation wave-fronts in BZ system, can be interpreted in terms of logical gates and applied in the design of unconventional hardware components. Logic gates and other more complicated components have been already proposed using different topologies and particular characteristics. In this study, the inherent parallelism and simplicity of Cellular Automata (CAs) modeling is combined with an Oregonator model of light-sensitive version of BZ reaction. The resulting parallel and computationally-inexpensive model has the ability to simulate a topology that can be considered as a one-bit full adder digital component towards the design of an Arithmetic Logic Unit (ALU).

COHERENCE RESONANCE PHENOMENA IN AN EXCITABLE SYSTEM DRIVEN BY COLORED NOISE

2006 ◽  
Vol 06 (01) ◽  
pp. L85-L94 ◽  
Author(s):  
V. BEATO ◽  
H. ENGEL
Keyword(s):  
Correlation Length ◽  
Correlation Time ◽  
Colored Noise ◽  
Coherence Resonance ◽  
Stochastic Field ◽  
Bz Reaction ◽  
Excitable System ◽  
Spatially Extended ◽  
Spatio Temporal ◽  
Oregonator Model

We study the coherence of noise-induced excitations in a modified stochastic Oregonator model for the light-sensitive Belousov-Zhabotinsky (BZ) reaction assuming that the intensity of the applied illumination is a spatio-temporal stochastic field with finite correlation time and correlation length. For a single excitable element, we find coherence resonance (CR) with respect to the correlation time. In the spatially extended medium of diffusively coupled excitable elements, we observe CR for suitable combinations of the correlation time and length of the noise.

scholarly journals BASIC CONCEPTS OF SELF-ORGANIZED PHENOMENA IN CHEMICAL SYSTEMS

Química Nova ◽  
2020 ◽  
Author(s):  
Leonardo Silva-Dias
Keyword(s):  
Irreversible Processes ◽  
Bz Reaction ◽  
Thermodynamics Of Irreversible Processes ◽  
Chemistry Students ◽  
Chemical Systems ◽  
Self Organized ◽  
Sustained Oscillations ◽  
Supplementary Material ◽  
Basic Concepts ◽  
Oregonator Model

We present the main concepts of nonlinear dynamics and thermodynamics of irreversible processes to introduce chemistry students to the topic of self-organized phenomena. This task is performed by theoretically describing the emergence of self-sustained oscillations, waves, and stationary patterns/Turing patterns in the Belousov-Zhabotinsky (BZ) reaction, through the Oregonator model. We carefully developed such a description, which resulted in long algebraic deductions and rich supplementary material. Considering that, we encourage the use of this material in undergraduate and graduate advanced physical chemistry classes.

Modeling the Chemo-mechanical Behavior of Reactive Polymer Gels

2005 ◽  
Vol 889 ◽  
Author(s):  
Victor V. Yashin ◽  
Anna C. Balazs
Keyword(s):  
Fluid Model ◽  
Metal Catalyst ◽  
Polymer Gel ◽  
Solvent Interactions ◽  
Bz Reaction ◽  
Reactive Polymer ◽  
Wave Trains ◽  
Two Fluid Model ◽  
Oregonator Model ◽  
Mechanical Devices

ABSTRACTWe consider a theoretical model of a reactive polymer gel in which the reaction can proceed in an oscillatory regime and generate traveling chemical waves accompanied by waves of local swelling-deswelling. This type of gel could be used for fabricating chemo-mechanical devices with self-sustained rhythmic action, and gel-based pumps. We assume that the Belousov-Zhabotinsky (BZ) reaction takes place in the reactive gel. The BZ reaction generates periodic reduction-oxidation (redox) changes of a metal catalyst covalently bonded to a hydrogel that is immersed in a solution containing the rest of the BZ reagents. The redox changes in the metal affect the polymer-solvent interactions, resulting in variations in the gel volume. The self-oscillation of the gel volume, and the traveling waves of local swelling in a hydrogel with the BZ reaction have been experimentally observed by Yoshida and co-workers. To describe the system theoretically, we employ the Oregonator model of the BZ reaction, and the two-fluid model of gel dynamics. Propagation of one-dimensional wave trains through the reactive gel is simulated. The structure of the traveling swelling-deswelling waves is studied.

Bifurcations of travelling waves in population taxis models

1999 ◽  
Vol 169 (9) ◽  
pp. 1011 ◽  
Author(s):  
Faina S. Berezovskaya ◽  
G.P. Karev
Keyword(s):  
Travelling Waves

Flow Chemistry Controls Both Self-Assembly and the Entrapped Oscillatory Cargo in Belousov-Zhabotinsky Driven Polymerization-Induced Self-Assembly

2019 ◽  
Author(s):  
Liman Hou ◽  
Marta Dueñas-Diez ◽  
Rohit Srivastava ◽  
Juan Perez-Mercader
Keyword(s):  
Self Assembly ◽  
Flow Chemistry ◽  
Batch Reactors ◽  
Equilibrium Conditions ◽  
One Pot ◽  
Bz Reaction ◽  
Polymer Vesicles ◽  
Simultaneous Control ◽  
Novel Method ◽  
Continuously Stirred Tank Reactor

<p></p><p>Belousov-Zhabotinsky (B-Z) reaction driven polymerization-induced self-assembly (PISA), or B-Z PISA, is a novel method for the autonomous one-pot synthesis of polymer vesicles from a macroCTA (macro chain transfer agent) and monomer solution (“soup”) containing the above and the BZ reaction components. In it, the polymerization is driven (and controlled) by periodically generated radicals generated in the oscillations of the B-Z reaction. These are inhibitor/activator radicals for the polymerization. Until now B-Z PISA has only been carried out in batch reactors. In this manuscript we present the results of running the system using a continuously stirred tank reactor (CSTR) configuration which offers some interesting advantages.Indeed, by controlling the CSTR parameters we achieve reproducible and simultaneous control of the PISA process and of the properties of the oscillatory cargo encapsulated in the resulting vesicles. Furthermore, the use of flow chemistry enables a more precise morphology control and chemical cargo tuning. Finally, in the context of biomimetic applications a CSTR operation mimics more closely the open non-equilibrium conditions of living systems and their surrounding environments.</p><p></p>

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