As a first step to study reaction dynamics in far-from-equilibrium open systems, we propose a stochastic model in which replicating reactions with catalysis progress depending on the external flow of energy resources J. This model exhibits the Arrhenius-type reaction; furthermore it produces non-Arrhenius reaction that is power-law reaction rate with regard to reaction energy. This behavior is explained using dynamics of J, especially the power law is explained by the conservation of J.
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Kamimura, A., Yukawa, S., Ito, N. (2009). Rate Constant in Far-from-Equilibrium Open Systems. In: Landau, D.P., Lewis, S.P., Schöttler, H.B. (eds) Computer Simulation Studies in Condensed-Matter Physics XIX. Springer Proceedings in Physics, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85625-2_13
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DOI: https://doi.org/10.1007/978-3-540-85625-2_13
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