A comment on fluctuations around nonequilibrium steady states
- 49 Downloads
We study fluctuations around nonequilibrium steady states of some model nonlinear chemical systems. A previous result of Nicolis and Prigogine states that the mean square fluctuation computed from a master equation in the space of internal states of the reacting species is identical to that calculated from Einstein's fluctuation formula. Our analysis of fluctuations based on that master equation leads with the assumption of local equilibrium to a result identical to that obtained from a master equation for the total concentration of the reacting species, which is different from the equilibrium (Einstein relation) result. Nicolis and Prigogine approximated one term in their master equation, and a discussion of this approximation is presented. The master equation without this approximation yields at equilibrium the result expected on the basis of Einstein's formula.
Key wordsFluctuations nonequilibrium steady states nonlinear chemical kinetics
Unable to display preview. Download preview PDF.
- 1.D. M. McQuarrie,Adv. Chem. Phys. XV:149 (1969).Google Scholar
- 2.G. Nicolis and A. Babloyantz,J. Chem. Phys. 51:2632 (1969).Google Scholar
- 3.R. Hawkins and S. A. Rice,J. Theor. Biol. 30:579 (1971).Google Scholar
- 4.G. Nicolis,J. Stat. Phys. 6:195 (1972).Google Scholar
- 5.G. Nicolis and I. Prigogine,Proc. Nat. Acad. Sci. U.S. 68:2102 (1971).Google Scholar
- 6.P. Glansdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley, London (1971).Google Scholar
- 7.M. Lax,Rev. Mod. Phys. 32:25 (1960).Google Scholar
- 8.M. Lax,Rev. Mod. Phys. 38:359 (1966).Google Scholar
- 9.Y. Kuramoto,Prog. Theor. Phys. 49:1782 (1973).Google Scholar