Abstract
In this chapter, the dynamics of the chemical reaction \(A \rightleftharpoons B\) are analyzed from the perspectives of macroscopic chemical kinetics, thermodynamics, and stochastic processes. The main objective is to show that all these approaches are not exclusive but complementary, and that properly combining them through a fourth unifying approach (the one I call the energy landscape approach) allows a deeper understanding of the system dynamic behavior. After finishing this chapter not only the reader shall understand the different approaches to analyzing the dynamics of a chemical reaction, but will also obtain some basic notions of stochastic processes. Namely, the chemical master equation and Gillespie’s algorithm.
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References
E W, Vanden-Eijnden E (2010) Transition-path theory and path-finding algorithms for the study of rare events. Ann Rev Phys Chem 61(1):391–420
Evans M, Hastings N, Peacock J (2000) Statistical distributions. Wiley Series in Probability and Statistics. Wiley, New York
Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. J Phys Chem 81(25):2340–2361
Houston P (2001) Chemical kinetics and reaction dynamics. McGraw-Hill, New York
Risken H (1996) The Fokker-Planck equation: methods of solution and applications. Springer, Berlin
Van Kampen N (1992) Stochastic processes in physics and chemistry. North-Holland Personal Library. Elsevier Science, Amsterdam
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Santillán, M. (2014). Different Approaches to Analyzing a Simple Chemical Reaction. In: Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-06689-9_3
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DOI: https://doi.org/10.1007/978-3-319-06689-9_3
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Online ISBN: 978-3-319-06689-9
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