Onset of criticality and transport in a driven diffusive system
Abstract
We study transport properties in a slowly driven diffusive system where the transport is externally controlled by a parameter p. Three types of behavior are found: For p<p' the system is not conducting at all. For intermediate p a finite fraction of the external excitations propagate through the system. Third, in the regime p>pc the system becomes completely conducting. For all p>p' the system exhibits self-organized critical behavior. In the middle of this regime, at pc, the system undergoes a continuous phase transition described by critical exponents.
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