title: Multishocks in driven diffusive processes: insights from fixed-point analysis of the boundary layers.
abstract: Boundary-induced phase transitions in a driven diffusive process can be studied through a phase-plane analysis of the boundary-layer equations. In this paper, we generalize this approach further to show how various shapes including multishocks and downward shocks in the bulk particle density profile can be understood by studying the dependence of the fixed points of the boundary-layer equation on an appropriate parameter. This is done for a particular driven interacting particle system as a prototypical example. The present analysis shows the special role of a specific bifurcation of the fixed points in giving rise to different kinds of shocks.
authors.affiliation: Department of Physics, Indian Institute of Technology, Kanpur 208016, India. sutapam@iitk.ac.in
authors.forename: Sutapa
authors.initials: S
authors.lastname: Mukherji
mesh_terms: D000465:Algorithms; D004058:Diffusion; D057446:Hydrodynamics; D015233:Models, Statistical; D010316:Particle Size; D010825:Physics / Q000379:methods*; D012107:Research Design; D013499:Surface Properties