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A non-equilibrium steady state is characterized by a non-zero steadydissipation rate. Chemical reaction systems under suitable conditions maygenerate such states. We propose here a method that is able to distinguishstates with identical values of the steady dissipation rate. This necessitatesa study of the variation of the entropy production rate with the experimentallyobservable reaction rate in regions close to the steady states. As anexactly-solvable test case, we choose the problem of enzyme catalysis. Link ofthe total entropy production with the enzyme efficiency is also established,offering a desirable connection with the inherent irreversibility of theprocess. The chief outcomes are finally noted in a more general reactionnetwork with numerical demonstrations.

States with identical steady dissipation rate: Role of kinetic constants in enzyme catalysis