Abstract
We elucidate the connection between the Kolmogorov-Sinai entropy rate and the time evolution of the physical or statistical entropy . For a large family of chaotic conservative dynamical systems including the simplest ones, the evolution of for far-from-equilibrium processes includes a stage during which is a simple linear function of time whose slope is . We present numerical confirmation of this connection for a number of chaotic symplectic maps, ranging from the simplest two-dimensional ones to a four-dimensional and strongly nonlinear map.
- Received 28 May 1998
DOI:https://doi.org/10.1103/PhysRevLett.82.520
©1999 American Physical Society