Abstract
Internal fluctuations in far-from-equilibrium, spatially-distributed, reacting systems are studied using Markov chain models. The coarse-grained dynamics is assumed to take place at the nodes of a lattice at discrete time intervals. Diffusion is modeled as a collection of random walkers on the lattice and reactions are treated as a birth-death stochastic process. Using synchronous updating rules, the models are implemented as reactive lattice-gas automata. Results are presented for the effects of fluctuations on limit cycle and chaotic dynamics.
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Kapral, R. (1997). Markov chain models for spatially-distributed reacting systems. In: Schimansky-Geier, L., Pöschel, T. (eds) Stochastic Dynamics. Lecture Notes in Physics, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105618
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DOI: https://doi.org/10.1007/BFb0105618
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