TY - JOUR
T1 - Spontaneous Symmetry Breaking
T2 - The Case of Crazy Clock and Beyond
AU - Pagnacco, Maja C.
AU - Maksimović, Jelena P.
AU - Daković, Marko
AU - Bokic, Bojana
AU - Mouchet, Sébastien R.
AU - Verbiest, Thierry
AU - Caudano, Yves
AU - Kolaric, Branko
N1 - Funding Information:
Acknowledgments: This work was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia Contract numbers: 451-03-68/2022-14/200026 and 451-03-68/2022-14/200146. S.R.M. was supported by a BEWARE Fellowship of the Walloon Region (Convention n◦2110034), as a postdoctoral researcher. Y.C. is a research associate of the Fund for Scientific Research F.R.S.-FNRS. B.K. and B.B. acknowledge financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia (grant III 45016). Additionally, B.K. acknowledges support from F.R.S.-FNRS. M.P., B.B., and B.K. acknowledge the support of the Office of Naval Research Global through the Research Grant N62902-22-1-2024.
Funding Information:
Funding: This research was funded by the Ministry of Education, Science and Technological Development of the Republic of Serbia, Contract numbers: 451-03-68/2022-14/200026 and 451-03-68/2022-14/200146; BEWARE Fellowship of the Walloon Region (Convention n◦2110034); the Fund for Scientific Research F.R.S.-FNRS; the Ministry of Education, Science and Technological Development of the Republic of Serbia (grant III 45016); the Office of Naval Research Global (Research Grant N62902-22-1-2024).
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/2/19
Y1 - 2022/2/19
N2 - 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.
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.
KW - Briggs–Rauscher reaction
KW - Crazy clock
KW - Iodine
KW - K-means analysis
KW - Random number generator
KW - State I to state II transition
KW - Symmetry breaking
UR - http://www.scopus.com/inward/record.url?scp=85125323605&partnerID=8YFLogxK
UR - https://arxiv.org/abs/2201.03399
U2 - 10.3390/sym14020413
DO - 10.3390/sym14020413
M3 - Article
AN - SCOPUS:85125323605
SN - 2073-8994
VL - 14
JO - Symmetry
JF - Symmetry
IS - 2
M1 - 413
ER -