Lane Preference in a Simple Traffic Model
| dc.contributor.author | Krometis, Justin | en |
| dc.contributor.committeechair | Hagedorn, George A. | en |
| dc.contributor.committeecochair | Schmittmann, Beate | en |
| dc.contributor.committeemember | Zia, Royce K. P. | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessioned | 2014-03-14T21:35:06Z | en |
| dc.date.adate | 2004-05-06 | en |
| dc.date.available | 2014-03-14T21:35:06Z | en |
| dc.date.issued | 2004-04-23 | en |
| dc.date.rdate | 2004-05-06 | en |
| dc.date.sdate | 2004-04-30 | en |
| dc.description.abstract | We examine the effect of lane preference on a quasi one-dimensional three-state driven lattice gas, consisting of holes and positive and negative particles, and periodic boundary conditions in the longitudinal direction. Particles move via particle-hole and, with a lesser rate, particle-particle exchanges; the species are driven in opposite directions along the lattice, each preferring one of the lanes with a given probability, <I>p</I>. The model can be interpreted as traffic flow on a two-lane beltway, with fast cars preferring the left lane and slow cars preferring the right, viewed in a comoving frame. In steady-sate, the system typically exhibits a macroscopic cluster containing a majority of the particles. At very high values of <I>p</I>, a first order transition takes the system to a spatially disordered state. Using Monte Carlo simulations to analyze the system, we find that the size of the cluster increases with lane preference. We also observe a region of negative response, where increasing the lane preference <I>decreases</I> the number of particles in their favored lane, against all expectations. In addition, simulations show an intriguing sequence of density profiles for the two species. We apply mean-field theory, continuity equations, and symmetries to derive relationships between observables to make a number of predictions verified by the Monte Carlo data. | en |
| dc.description.degree | Master of Science | en |
| dc.identifier.other | etd-04302004-120043 | en |
| dc.identifier.sourceurl | http://scholar.lib.vt.edu/theses/available/etd-04302004-120043/ | en |
| dc.identifier.uri | http://hdl.handle.net/10919/42365 | en |
| dc.publisher | Virginia Tech | en |
| dc.relation.haspart | etd.pdf | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | driven lattice gas | en |
| dc.subject | Monte Carlo simulations | en |
| dc.subject | phase transition | en |
| dc.subject | non-equilibrium steady-state | en |
| dc.subject | highway traffic | en |
| dc.title | Lane Preference in a Simple Traffic Model | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | Master of Science | en |
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