Abstract
Relaxation is a process by which a system approaches one of its attractors. When this attractor is a trivial unpopulated state, the term ‘extinction’ is applied. In nonlinear and nonuniform distributed systems, both relaxation and extinction may strongly deviate from a simple exponential relaxation law.
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References
B. Felderhof, I. Deutch: J. Chem. Phys. 64, 4551–4558 (1976)
J.R. Lebenhaft, R. Kapral: J. Stat. Phys. B20, 125 (1979)
M. Bixon, R. Zwanzig: J. Chem. Phys. 75, 2354 (1981)
M. Muthukumar, R.J. Cukier: J. Stat. Phys. 26, 453 (1981)
B. Felderhof, I. Deutch, U. Titulauer: J. Chem. Phys. 76, 4178–4184 (1982)
T.R. Kirkpatrick: J. Chem. Phys. 76, 4255–4259 (1982)
M. Tokuyama, R.I. Cukier: J. Chem. Phys. 76, 6202 (1982)
B.Ya. Balagurov, V.G. Vaks: Soy. Phys. JETP 38, 968 (1974)
P. Grassberger, I. Procaccia: J. Chem. Phys. 77, 6281–6284 (1982)
I.M. Lifshitz, S.A. Gredeskul, L.A. Pastur: Introduction to the Theory of Disordered Systems ( Nauka, Moscow 1982 )
I.M. Lifshitz: Soy. Phys. Usp. 7 549 (1965)
I.M. Lifshitz: Soy. Phys. JETP 53, 462 (1967)
A.S. Mikhailov, I.V. Uporov: Soy. Phys. Usp. 27, 695 (1984)
R.F. Kayser, J.B. Hubbard: Phys. Rev. Lett. 51, 79–82 (1983)
R.F. Kayser, J.B. Hubbard: J. Chem. Phys. 80, 1127–1130 (1984)
A. Blumen, J. Klafter, G. Zumofen: Phys. Rev. B28, 6112–6115 (1983)
J. Klafter, A. Blumen: J. Chem. Phys. 80, 875–877 (1984)
T.R. Waite: Phys. Rev. 107, 463–470 (1957)
S.A. Rice: Diffision-Limited Reactions ( Elsevier, Amsterdam 1985 )
Ya.B. Zeldovich: Soy. Electrochem. 13, 581 (1977)
A.A. Ovchinnikov, Ya.B. Zeldovich: Chem. Phys. 28, 215 (1978)
D. Toussaint, F. Wilczec: J. Chem. Phys. 78, 2642–2647 (1983)
S.F. Burlatskii, A.A. Ovchinnikov: Sov. Phys. JETP 65, 908 (1987)
Ya.B. Zeldovich, A.S. Mikhailov: Soy. Phys. Usp. 30, 977–992 (1987)
Ya.B. Zeldovich: Zh. Tekh. Fiz. 19, 1199 (1949)
I.M. Sokolov: JETP Lett. 44, 67 (1986)
Ya.B. Zeldovich, A.S. Mikhailov: “Chirality wave propagation and the first evolutionary catastrophe”, in Thermodynamics and Pattern Formation in Biology, ed. by I. Lamprecht, A.I. Zotin ( de Gruyter, Berlin 1988 ) pp. 57–68
A.S. Mikhailov: Phys. Rep. 184, 308–374 (1989)
Ya.B. Zeldovich, A.A. Ovchinnikov: Soy. Phys. JETP 65, 535 (1978)
Ya.B. Zeldovich, A.A. Ovchinnikov: JETP Lett. 26, 440 (1977)
S.F. Burlatskii: Fluctuational Kinetics of Diffusional Processes, Dr. Sc. Thesis ( Institute for Chemical Physics, Moscow 1988 )
S.F. Burlatskii, A.A. Ovchinnikov, G.S. Oshanin: Sov. Phys. JETP 68, 1153 (1989)
G.S. Oshanin, S.F. Burlatskii, A.A. Ovchinnikov: J. Phys. A22, 977 (1989)
A.A. Ovchinnikov, S.F. Burlatskii: Soy. Phys. JETP Lett. 43, 638 (1986)
A.M. Gutin, A.S. Mikhailov, V.V. Yashin: Sov. Phys. JETP 65, 535 (1987)
Y.C. Zhang: Phys. Rev. Lett. 59, 1726–1728 (1987)
V.L. Vinetskii, A.V. Kondrachuk: Ukr. Fiz. Zh. 27, 383–387 (1982)
Yu.H. Kalnins, Yu.Yu. Krikis: Izv. Akad. Nauk Latv. SSR. Ser. Fiz.-Tekh. Nauk. No. 1, 104–106 (1983)
F.V. Pirogov, E.I. Palagishvili: Izv. Akad. Nauk Latv. SSR. Ser. Fiz.-Tekh. Nauk. No. 4, 46–53 (1984)
L.W. Anacker, R. Kopelman: Phys. Rev. Lett. 58, 289–291 (1987)
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Mikhailov, A.S., Loskutov, A.Y. (1996). Extinction and Complex Relaxation. In: Foundations of Synergetics II. Springer Series in Synergetics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80196-9_11
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DOI: https://doi.org/10.1007/978-3-642-80196-9_11
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