Microscopic chaos and chemical reactions
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.
Year of publication: |
1999
|
---|---|
Authors: | Gaspard, Pierre |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 263.1999, 1, p. 315-328
|
Publisher: |
Elsevier |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Gaspard, Pierre, (1997)
-
Hamiltonian dynamics, nanosystems, and nonequilibrium statistical mechanics
Gaspard, Pierre, (2006)
-
Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
Gaspard, Pierre, (2013)
- More ...