Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …

In the so-called “microscopic” models of vehicular traffic, attention is paid explicitly to each
individual vehicle each of which is represented by a “particle”; the nature of the “interactions” …

A number of exact results have been obtained recently for the one-dimensional asymmetric
simple exclusion process, a model of particles which hop to their right at random times, on a …

These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …

We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …

Many complex systems of interacting particles that one encounters in nature behave on a
phenomenological level in some random fashion. Therefore the theoretical treatment of …

We formulate a simple additivity principle allowing one to calculate the whole distribution of
current fluctuations through a large one dimensional system in contact with two reservoirs at …

The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium
systems are reviewed and some properties of an energy function which may allow phase …

We discuss a class of driven lattice gas obtained by coupling the one-dimensional totally
asymmetric simple exclusion process to Langmuir kinetics. In the limit where these dynamics …

We review simple aspects of the thermodynamic and dynamical properties of systems with
long-range pairwise interactions (LRI), which decay as 1/rd+ σ at large distances r in d …