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Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond

Thumbnail
2022
symmetry-14-00413-v2.pdf (3.200Mb)
Authors
Pagnacco, Maja
Maksimović, Jelena P.
Daković, Marko
Bokic, Bojana
Mouchet, Sébastien R.
Verbiest, Thierry
Caudano, Yves
Kolaric, Branko
Article (Published version)
Metadata
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Abstract
In this work, we describe the crazy-clock phenomenon involving the state I (low iodide and iodine concentration) to state II (high iodide and iodine concentration with new iodine phase) transition after a Briggs–Rauscher (BR) oscillatory process. While the BR crazy-clock phenomenon is known, this is the first time that crazy-clock behavior is linked and explained with the symmetry-breaking phenomenon, highlighting the entire process in a novel way. The presented phenomenon has been thoroughly investigated by running more than 60 experiments, and evaluated by using statistical cluster K-means analysis. The mixing rate, as well as the magnetic bar shape and dimensions, have a strong influence on the transition appearance. Although the transition for both mixing and no-mixing conditions are taking place completely randomly, by using statistical cluster analysis we obtain different numbers of clusters (showing the time-domains where the transition is more likely to occur). In the case of s...tirring, clusters are more compact and separated, revealed new hidden details regarding the chemical dynamics of nonlinear processes. The significance of the presented results is beyond oscillatory reaction kinetics since the described example belongs to the small class of chemical systems that shows intrinsic randomness in their response and it might be considered as a real example of a classical liquid random number generator.

Keywords:
crazy clock / Briggs–Rauscher reaction / state I to state II transition / symmetry breaking / iodine / K-means analysis / random number generator
Source:
Symmetry, 2022, 14, 2, 413-
Publisher:
  • MDPI AG
Funding / projects:
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200026 (University of Belgrade, Institute of Chemistry, Technology and Metallurgy - IChTM) (RS-200026)
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200146 (University of Belgrade, Faculty of Physical Chemistry) (RS-200146)
  • BEWARE Fellowship of the Walloon Region (Convention n°2110034)
  • the Fund for Scientific Research F.R.S.-FNRS
  • Office of Naval Research Global (Research Grant N62902-22-1-2024)
  • Fabrication and characterization of nano-photonic functional structrues in biomedicine and informatics (RS-45016)

DOI: 10.3390/sym14020413

ISSN: 2073-8994

Scopus: 2-s2.0-85125323605
[ Google Scholar ]
2
URI
https://cer.ihtm.bg.ac.rs/handle/123456789/5600
Collections
  • Radovi istraživača / Researchers' publications
Institution/Community
IHTM
TY  - JOUR
AU  - Pagnacco, Maja
AU  - Maksimović, Jelena P.
AU  - Daković, Marko
AU  - Bokic, Bojana
AU  - Mouchet, Sébastien R.
AU  - Verbiest, Thierry
AU  - Caudano, Yves
AU  - Kolaric, Branko
PY  - 2022
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/5600
AB  - In this work, we describe the crazy-clock phenomenon involving the state I (low iodide and iodine concentration) to state II (high iodide and iodine concentration with new iodine phase) transition after a Briggs–Rauscher (BR) oscillatory process. While the BR crazy-clock phenomenon is known, this is the first time that crazy-clock behavior is linked and explained with the symmetry-breaking phenomenon, highlighting the entire process in a novel way. The presented phenomenon has been thoroughly investigated by running more than 60 experiments, and evaluated by using statistical cluster K-means analysis. The mixing rate, as well as the magnetic bar shape and dimensions, have a strong influence on the transition appearance. Although the transition for both mixing and no-mixing conditions are taking place completely randomly, by using statistical cluster analysis we obtain different numbers of clusters (showing the time-domains where the transition is more likely to occur). In the case of stirring, clusters are more compact and separated, revealed new hidden details regarding the chemical dynamics of nonlinear processes. The significance of the presented results is beyond oscillatory reaction kinetics since the described example belongs to the small class of chemical systems that shows intrinsic randomness in their response and it might be considered as a real example of a classical liquid random number generator.
PB  - MDPI AG
T2  - Symmetry
T1  - Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond
VL  - 14
IS  - 2
SP  - 413
DO  - 10.3390/sym14020413
ER  - 
@article{
author = "Pagnacco, Maja and Maksimović, Jelena P. and Daković, Marko and Bokic, Bojana and Mouchet, Sébastien R. and Verbiest, Thierry and Caudano, Yves and Kolaric, Branko",
year = "2022",
abstract = "In this work, we describe the crazy-clock phenomenon involving the state I (low iodide and iodine concentration) to state II (high iodide and iodine concentration with new iodine phase) transition after a Briggs–Rauscher (BR) oscillatory process. While the BR crazy-clock phenomenon is known, this is the first time that crazy-clock behavior is linked and explained with the symmetry-breaking phenomenon, highlighting the entire process in a novel way. The presented phenomenon has been thoroughly investigated by running more than 60 experiments, and evaluated by using statistical cluster K-means analysis. The mixing rate, as well as the magnetic bar shape and dimensions, have a strong influence on the transition appearance. Although the transition for both mixing and no-mixing conditions are taking place completely randomly, by using statistical cluster analysis we obtain different numbers of clusters (showing the time-domains where the transition is more likely to occur). In the case of stirring, clusters are more compact and separated, revealed new hidden details regarding the chemical dynamics of nonlinear processes. The significance of the presented results is beyond oscillatory reaction kinetics since the described example belongs to the small class of chemical systems that shows intrinsic randomness in their response and it might be considered as a real example of a classical liquid random number generator.",
publisher = "MDPI AG",
journal = "Symmetry",
title = "Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond",
volume = "14",
number = "2",
pages = "413",
doi = "10.3390/sym14020413"
}
Pagnacco, M., Maksimović, J. P., Daković, M., Bokic, B., Mouchet, S. R., Verbiest, T., Caudano, Y.,& Kolaric, B.. (2022). Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond. in Symmetry
MDPI AG., 14(2), 413.
https://doi.org/10.3390/sym14020413
Pagnacco M, Maksimović JP, Daković M, Bokic B, Mouchet SR, Verbiest T, Caudano Y, Kolaric B. Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond. in Symmetry. 2022;14(2):413.
doi:10.3390/sym14020413 .
Pagnacco, Maja, Maksimović, Jelena P., Daković, Marko, Bokic, Bojana, Mouchet, Sébastien R., Verbiest, Thierry, Caudano, Yves, Kolaric, Branko, "Spontaneous Symmetry Breaking: The Case of Crazy Clock and Beyond" in Symmetry, 14, no. 2 (2022):413,
https://doi.org/10.3390/sym14020413 . .

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