Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-06-18
Phys. Rev. E70 (2004) 056128
Physics
Condensed Matter
Statistical Mechanics
10 pages, LaTeX2e
Scientific paper
10.1103/PhysRevE.70.056128
A voting model (or a generalization of the Glauber model at zero temperature) on a multidimensional lattice is defined as a system composed of a lattice each site of which is either empty or occupied by a single particle. The reactions of the system are such that two adjacent sites, one empty the other occupied, may evolve to a state where both of these sites are either empty or occupied. The continuum version of this model in a Ddimensional region with boundary is studied, and two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the relaxation of the system toward its stationary state. Based on the first behavior, the static phase transition (discontinuous changes in the stationary profiles of the system) is studied. Based on the second behavior, the dynamical phase transition (discontinuous changes in the relaxation-times of the system) is studied. It is shown that the static phase transition is induced by the bulk reactions only, while the dynamical phase transition is a result of both bulk reactions and boundary conditions.
Aghamohammadi Amir
Khorrami Mohammad
Roshani Farinaz
No associations
LandOfFree
Static- and dynamical-phase transition in multidimensional voting models on continua does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Static- and dynamical-phase transition in multidimensional voting models on continua, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Static- and dynamical-phase transition in multidimensional voting models on continua will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-203457