OneDimensional Traffic Flow Models: Theory and Computer Simulations
Abstract
Theoretical advances in the study of nonequilibrium phenomena are briefly reviewed with emphasis on steady state properties of onedimensional driven lattice gases. The presentation is focused on the totally asymmetric simpleexclusion process (TASEP) with open boundary conditions: particles are injected at the left end with rate alpha and removed at the right end with rate beta. Depending on the values of these parameters, the model exhibits three stationary phases, separated by lines of first and secondorder nonequilibrium phase transitions. New simulation results on the power spectrum of the fluctuating total number of particles in the different phases of the system are presented. Our theoretical contribution concerns the approximate evaluation of the power spectrum in the domainwall picture of the coexisting low and highdensity phases. Finally, we review some of our recent results on the TASEP defined on an open network containing a doublechain section in the middle. With the aid of a simple theory, which neglects correlations at the junctions of the chain segments, the possible phase structures of the model are found. Density profiles and nearestneighbor correlations in the steady states of the model at representative points of the phase diagram are obtained by means of computer simulations. On the coexistence line crosscorrelations are found to exist between equivalent sites in the branches of the middle section.
 Publication:

arXiv eprints
 Pub Date:
 March 2008
 arXiv:
 arXiv:0803.2625
 Bibcode:
 2008arXiv0803.2625B
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 17 pages,13 figures