Abstract
Entropy production rate (EPR) is the fundamental theoretical quantity in non-equilibrium thermodynamics whereas reaction rate is the primary experimental quantity for a chemical system out-of-equilibrium. In this work, we explore a connection between the above two quantities for general reaction networks. Both cyclic and linear networks of arbitrary dimension are studied, along with a mixed variety. The systems can attain a non-equilibrium steady state (NESS) under chemiostatic condition, which becomes the state of true thermodynamic equilibrium when detailed balance holds. We show that there exists a universal functional relationship of the EPR with reaction rate close to steady states for all the networks considered. Near a NESS, the former varies linearly with the reaction rate. On the other hand, around a true equilibrium, it varies quadratically with the latter. Numerical experiments justify our analytical findings quite transparently.
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Acknowledgments
K. Banerjee acknowledges the University Grants Commission (UGC), India for Dr. D. S. Kothari Fellowship.
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Banerjee, K., Bhattacharyya, K. Entropy production as a universal functional of reaction rate: chemical networks close to steady states. J Math Chem 52, 820–832 (2014). https://doi.org/10.1007/s10910-013-0295-8
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DOI: https://doi.org/10.1007/s10910-013-0295-8