Abstract
Recent experimental work on is presented traveling waves and target patterns developing in oscillatory Belousov-Zhabotinsky reagents. It only deals with trigger waves and relaxation oscillations. Measurements have been made on (1) the dispersion relation of waves, (2) the statistical properties of centers and targets, (3) the wavefront and speed near the core of the pattern. Several unanticipated results are reported.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. Prigogine,Bull. Acad. R. Belg. 31:600 (1945).
P. Glansdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability, and Fluctuations (Wiley, New York, 1971).
A. T. Wilson and M. Calvin,J. Am. Chem. Soc. 77:5948 (1955); L. N. Duysens and J. Amesz,Biochim. Biophys. Acta 24:19 (1957).
A. Turing,Phil. Trans. R. Soc. Lond. 237B:37 (1952).
I. Prigogine and R. Lefever,J. Chem. Phys. 48:1695 (1968).
G. Nicolis and I. Prigogine,Self-Organization Nonequilibrium systems (Wiley, New York, 1977);Oscillations and Traveling Waves in Chemical Systems, R. J. Field and M. Burger, eds. (Wiley, New York, 1985); A. Babloyantz,Molecules, Dynamics, and Life (Wiley, New York 1986); C.Vidal and P. Hanusse,Int. Rev. Phys. Chem. 5:1 (1986).
P. Berge, Y. Pomeau, and C. Vidal,Order within Chaos (Wiley, New York, 1986); F. Argoul, A. Arneodo, P. Richetti, and J. C. Roux,J. Chem. Phys. 86:3325 (1987).
C. Vidal and A. Pacault, inEvolution of Order and Chaos, H. Haken, ed. (Springer-Verlag, Heidelberg, 1982), p. 74.
P. Ortoleva and J. Ross,J. Chem. Phys. 58:5673 (1973).
J. M. Bodet, J. Ross and C. Vidal,J. Chem. Phys. 86:4418 (1987).
J. R. Field and R. M. Noyes,J. Am. Chem. Soc. 96:2001 (1974); K. Showalter,J. Phys. Chem. 85:440 (1981); L. Kuhnert, H. G. Krug, and L. Pohlmann,J. Phys. Chem. 89:2022 (1985).
P. M. Wood and J. Ross,J. Chem. Phys. 82:1924 (1985).
L. Kunhert and H. J. Krug,J. Phys. Chem. 91:730 (1987).
D. F. Tatterson and J. L. Hudson,Chem. Eng. Commun. 1:3 (1973).
H. Sevcikova and M. Marek,Physica 9D:140 (1983).
J. P. Keener and J. J. Tyson,Physica 21D:307 (1986).
A. Pagola, J. Ross, and C. Vidal,J. Phys. Chem., submitted.
P. Fife,Mathematical Aspects of Reacting and Diffusing Systems (Springer-Verlag, New York, 1979).
J. J. Tyson and P. Fife,J. Chem. Phys. 73:2224 (1980).
D. Walgraef, G. Dewel, and P. Borckmans,J. Chem. Phys. 78:3043 (1983).
C. Vidal, A. Pagola, J. M. Bodet, P. Hanusse, and E. Bastardie,J. Phys. 47:1999 (1986).
J. M. Bodet, C. Vidal, A. Pacault, and F. Argoul, inNon-equilibrium Dynamics in Chemical Systems, C. Vidal and A. Pacault, eds. (Springer-Verlag, Heidelberg, 1984), p. 102.
A. T. Winfree, inTheoretical Chemistry, Vol. 4, H. Eyring and D. Henderson, eds. (Academic Press, New York, 1978), p. 2.
S. C. Müller, T. Plesser, and B. Hess,Science 230:661 (1985).
A. Pagola and C. Vidal,J. Phys. Chem. 91:501 (1987).
A. Pagola and C. Vidal, in preparation.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vidal, C. Experimental study of traveling waves and target patterns in oscillatory reacting media. J Stat Phys 48, 1017–1030 (1987). https://doi.org/10.1007/BF01009530
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01009530