Chaotic scattering theory of transport and reaction-rate coefficients
- 1 January 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (1) , 28-35
- https://doi.org/10.1103/physreve.51.28
Abstract
The chaotic scattering theory is extended here to obtain escape-rate expressions for the transport coefficients appropriate for a simple classical fluid or for a chemically reacting system. This theory allows various transport coefficients, such as the coefficients of viscosity, thermal conductivity, etc., to be expressed in terms of the positive Lyapunov exponents and Kolmogorov-Sinai entropy of a set of phase space trajectories that take place on an appropriate fractal repeller. This work generalizes the previous results of Gaspard and Nicolis [Phys. Rev. Lett. 65, 1693 (1990)] for the coefficient of diffusion of a particle moving in a fixed array of scatterers.Keywords
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