Onset of criticality and transport in a driven diffusive system

TL;DR

This paper investigates how a driven diffusive system transitions from non-conducting to fully conducting states as a control parameter varies, revealing critical behavior and phase transitions.

Contribution

It identifies different transport regimes and characterizes a continuous phase transition with critical exponents in a driven diffusive system.

Findings

System is non-conducting for p<p'

Partial propagation occurs at intermediate p

Complete conduction at p>p_c

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 $p>p_c$ the system becomes completely conducting. For all $p>p'$ the system exhibits self-organized critical behavior. In the middle of this regime, at $p_c$, the system undergoes a continuous phase transition described by critical exponents.