Dynamic screening in a two-species asymmetric exclusion process.

Area of Science:

• Statistical Physics
• Dynamical Systems
• Condensed Matter Theory

Background:

• The one-dimensional Burgers equation's dynamic scaling is altered by conserved degrees of freedom.
• Driven lattice gas models conserve mass and momentum, offering insights into complex dynamics.

Purpose of the Study:

• To investigate the dynamic scaling properties of the one-dimensional Arndt-Heinzel-Rittenberg (AHR) process.
• To understand how conserved mass and momentum affect scaling behavior in a driven lattice gas.

Main Methods:

• Numerical determination of the dynamic scaling dimension via time evolution of two-point correlation functions.
• Rigorous proof of fluctuation screening using the analytic matrix product structure of the stationary state.

Main Results:

• The AHR process displays dynamic critical exponent consistent with Kardar-Parisi-Zhang (KPZ) scaling.
• Perfect screening of fluctuations in the stationary state is identified as the cause of KPZ-like scaling.
• Two-point correlations decay exponentially, indicating complete mutual screening of quasiparticle fluctuations.

Conclusions:

• The AHR process belongs to the KPZ universality class, specifically a factorized form denoted as (KPZ)2.
• Perfect screening leads to the decoupling of the two effective Burgers equations at large length scales.
• The rigorous proof suggests the existence of an underlying topological invariant within the system.