论文信息 - A master equation description of local fluctuations

A master equation description of local fluctuations

A theory of fluctuations of macrovariables in nonequilibrium systems based on a nonlinear master equation is outlined. This equation takes into account, via a “mean field” type of approximation, the effect of the spatial extension of fluctuations. A comparison with the birth and death formalism reveals several unsatisfactory features of the latter.

G. Nicolis | G. Nicolis | M. Malek-Mansour | M. Malek-Mansour

[1] Y. Kuramoto. Fluctuations around Steady States in Chemical Kinetics , 1973 .

[2] Grégoire Nicolis,et al. Some Remarks on the Theory of Fluctuations around Nonequilibrium States , 1974 .

[3] J. Ross,et al. A comment on fluctuations around nonequilibrium steady states , 1974 .

[4] T. G. Cowling,et al. The mathematical theory of non-uniform gases , 1939 .

[5] G. Nicolis. Fluctuations around nonequilibrium states in open nonlinear systems , 1972 .

[6] A. Babloyantz,et al. Fluctuations in Open Systems , 1969 .

[7] P. T. Landsberg. Mécanique statistique des fluides: D. Massignon, (Dunod, Paris. 1958. XIV-264 pages. 3900 fr.) , 1958 .

[8] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .

[9] I. Prigogine,et al. Fluctuations in nonequilibrium systems. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[10] Fluctuations in chemical reactions around the steady states , 1974 .

[11] Robert Herman,et al. Kinetic theory of vehicular traffic , 1971 .

[12] G. Nicolis,et al. Fluctuations and the onset of instabilities in nonequilibrium systems , 1974 .

[13] Yoshiki Kuramoto,et al. Effects of Diffusion on the Fluctuations in Open Chemical Systems , 1974 .

[14] B. Widom,et al. The critical point and scaling theory , 1974 .