Static- and dynamical-phase transition in one-dimensional reaction-diffusion systems with boundaries

Details Static- and dynamical-phase transition in one-dimensional reaction-diffusion systems with boundaries Static- and dynamical-phase transition in one-dimensional reaction-diffusion systems with boundaries

2003-11-22

arxiv.org/abs/cond-mat/0311518v1

Braz. J. Phys. 33 (2003) 421

Physics

Condensed Matter

Statistical Mechanics

17 pages, LaTeX2e

Scientific paper

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. 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 system. Bases on the first behavior, static phase transitions (discontinuous changes in the stationary profiles of the system) are studied. Based on the second behavior, dynamical phase transitions (discontinuous changes in the relaxation-times of the system) are studied. The investigation is specialized on systems in which the evolution equation of one-point functions are closed (the autonomous systems).

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