Michael Blank
Dynamics of traffic jams: order and chaos
(69K, LATeX 2e)
ABSTRACT. By means of a novel variational approach we study ergodic
properties of a model of a multi lane traffic flow,
considered as a (deterministic) wandering of interacting
particles on an infinite lattice. For a class of initial
configurations of particles (roughly speaking satisfying the Law
of Large Numbers) the complete description of their limit (in
time) behavior is obtained, as well as estimates of the transient
period. In this period the main object of interest is the
dynamics of `traffic jams', which is rigorously defined and
studied. It is shown that the dynamical system under
consideration is chaotic in a sense that its topological entropy
(calculated explicitly) is positive. Statistical quantities
describing limit configurations are obtained as well.