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Characterizing the conditions for indefinite growth in open chemical reaction networks
Shesha Gopal Marehalli Srinivas1, Francesco Avanzini1,2, Massimiliano Esposito1
1Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, <a href="https://ror.org/036x5ad56">University of Luxembourg</a>, L-1511 Luxembourg City, Luxembourg.
Abstract:
The thermodynamic and dynamical conditions necessary to observe indefinite growth in homogeneous open chemical reaction networks (CRNs) satisfying mass action kinetics are presented in Srinivas et al. [Phys. Rev. Lett. 132, 268001 (2024)10.1103/PhysRevLett.132.268001]. Unimolecular CRNs can accumulate only equilibrium concentrations of species while multimolecular CRNs are needed to produce indefinite growth with nonequilibrium concentrations. Within multimolecular CRNs, pseudo-unimolecular CRNs produce nonequilibrium concentrations with zero efficiencies. Nonequilibrium growth with efficiencies greater than zero requires dynamically nonlinear CRNs. In this paper, we provide a detailed analysis supporting these results. Mathematical proofs are provided for growth in unimolecular and pseudo-unimolecular CRNs. For multimolecular CRNs, four models displaying very distinctive topological properties are extensively studied, both numerically and partly analytically.
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