Abstract
Fluctuations around the steady state in chemical reactions are discussed. The connection between the two approaches in the literature, the Langevin equation approach and the master equation approach, is shown in terms of a path integral.
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References
P. Glansdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley, New York (1970).
G. Nicolis,Adv. Chem. Phys. 19:209 (1971).
A. M. Zhabotinsky (ed.),Oscillatory Processes in Biology and Chemistry, Nauk, Moskow (1967).
G. Nicolis and J. Portnow,Chem. Rev. 73:365 (1973).
G. Nicolis and R. Lefever (eds.),Adv. Chem. Phys. 29 (1975).
R. Mazo,J. Chem. Phys. 52:3306 (1970).
A. Nitzan, P. Ortoleva, J. Deutch, and J. Ross,J. Chem. Phys. 61:1056 (1974).
H. Mashiyama, A. Ito, and T. Ohta, preprint (1975).
H. Haken,Rev. Mod. Phys. 47:67 (1975).
K. J. McNeil and D. F. Walls,J. Stat. Phys. 10:439 (1974).
M. Lax,Rev. Mod. Phys. 32:25 (1960).
N. G. van Kampen, inFluctuation Phenomena in Solids, R. E. Burgess, ed., Academic Press, New York (1965).
R. Kubo, K. Matsuo, and K. Kitahara,J. Stat. Phys. 9:51 (1973).
A. Nayfeh,Perturbation Methods, Wiley, New York (1973).
G. Nicolis,J. Stat. Phys. 6:213 (1972).
D. A. McQuarrie,J. Appl. Prob. 4:413 (1967).
K. Kitahara,Adv. Chem. Phys. 29:85 (1975).
R. Lefever and G. Nicolis,J. Theor. Biol. 30:267 (1970).
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Portnow, J., Kitahara, K. Stability and fluctuation in chemical systems. J Stat Phys 14, 501–508 (1976). https://doi.org/10.1007/BF01012848
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DOI: https://doi.org/10.1007/BF01012848