CHAOTIC PROPERTIES OF A ONE-DIMENSIONAL LORENTZ GAS

Authors
APPERT C BOKEL C DORFMAN JR ERNST MH
Citation
C. Appert et al., CHAOTIC PROPERTIES OF A ONE-DIMENSIONAL LORENTZ GAS, Physica. D, 103(1-4), 1997, pp. 357-361
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
103
Issue
1-4
Year of publication
1997
Pages
357 - 361
Database
ISI
SICI code
0167-2789(1997)103:1-4<357:CPOAOL>2.0.ZU;2-B
Abstract
We present some chaotic properties of a one-dimensional Lorentz lattic e gas (a particle moving on a lattice among fixed probabilistic scatte rers) in the frame of the thermodynamical formalism. Mean field theory has allowed us to predict the escape rate and the Lyapunov exponent, but it fails for the topological entropy. A reasonable improvement is obtained by taking correlations into account (ring kinetic theory), th e theoretical results are compared to numerical simulations.