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Microscopic chaos and chemical reactions

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  • Gaspard, Pierre

Abstract

Microscopic chaos is the dynamical randomness in the collisional motion of atoms and molecules in fluids. This chaos animates different mesoscopic stochastic phenomena and, in particular, the reaction-diffusion processes. For different chemical reactions, we show how the reaction rate can be related to the characteristic quantities of chaos like the Lyapunov exponents and the Kolmogorov-Sinai entropy which are associated with a fractal repeller. In spatially extended deterministic chaotic systems, chemio-hydrodynamic modes with exponential decay are shown to exist as Schwartz-type distributions associated with Pollicott-Ruelle resonances. The problem of entropy production is also discussed.

Suggested Citation

  • Gaspard, Pierre, 1999. "Microscopic chaos and chemical reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 315-328.
    • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:315-328
    DOI: 10.1016/S0378-4371(98)00504-4
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