Duhem-Jougeut theorem

By relating the fluctuations to the reaction coordinate v, de = SNh Eqs. (12.10) and (12.12) imply that if a system is stable to fluctuations in diffusion, it is also stable to fluctuations in chemical reactions, which is called the Duhem-Jougeut theorem (Kondepudi and Prigogine, 1999). However, a nonequilibrium steady state involving chemical reactions may be unstable even if the system is stable with respect to diffusion. 

Vjt is the stoichiometric coefficient, we can obtain (exc. 12.4) condition (12.4.5). Thus a system that is stable to diffusion is also stable to chemical reactions. This is called the Duhem-Jougeut theorem [3, 4] A more detailed discussion of this theorem and many other aspects of stability theory can be found in the literature [2]. 

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See also in sourсe #XX -- [ ]

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