Abstract
The effect of fluctuations in nonequilibrium systems is treated in terms of the stochastic theory. A solution of the “fundamental” equation is analyzed using the Monte-Carlo method /1, 2/. The results are compared with the conclusions following from the equations corresponding to a phenomenological model.
Abstract
В рамках стохастической теории рассматривается влияние флуктуаций в неравновесных системах. Анализ решения “фундаментального” уравнения проводится с использованием метода Монте-Карло /2/. Полученные результаты сопоставляются с выводами, следующими из уравнений, соответствующих феноменологической модели.
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References
A. V. Grechannikov, O. A. Makhotkin: in Numerical Methods and Statistical Simulation in Transfer Theory, p. 107. Novosibirsk 1980.
A. V. Grechannikov: Methods to Improve Accuracy of Statistical Simulation of Chemical Kinetics (in press)
K. I. McNeil, D. F. Walls: J. Stat. Phys.,10, 439 (1974).
J. Matheson, D. F. Walls, C. W. Gardiner: J. Stat. Phys.,12, 21 (1975).
A. Nitzan, P. Ortoleva, J. Deutch, J. Ross: J. Chem. Phys.,61, 1056 (1974).
V. I. Bykov, G. S. Yablonskii: Kinet. Katal.,28, 1305 (1977).
V. I. Bykov, G. S. Yablonskii, V. I. Yelokhin: Kinet. Katal.,20, 1033 (1979).
V. I. Bykov, G. S. Yablonskii, V. I. Yelokhin: Kinet. Katal.,20, 1029 (1979).
T. Matsushima: Bull. Chem. Soc. Jpn.,51, 1956 (1978).
T. Matsushima, D. B. Almy, J. M. White: Surf. Sci.,67, 89 (1977).
A. Golchet, J. M. White: J. Catal.,53, 251 (1978).
M. Malek-Mansur, G. Nicolis, I. Prigogin: in Thermodynamics and Kinetics of Biological Processes, p. 59. Moskva, 1980.
G. Nicolis, J. W. Turner: Physica A,89, 326 (1977).
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Grechannikov, A.V., Yablonskii, G.S. Analysis of fluctuations in chemical reactions with several steady states. React Kinet Catal Lett 19, 321–325 (1982). https://doi.org/10.1007/BF02074054
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DOI: https://doi.org/10.1007/BF02074054