Accelerated transport and growth with symmetrized dynamics

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Dynamical Systems

Background:

• The totally asymmetric exclusion process (TASEP) is a fundamental model for studying driven systems.
• The accelerated exclusion process (AEP) introduced by Dong et al. showed enhanced transport properties.
• Restoring particle-vacancy symmetry can facilitate mappings to other physical models, such as growth processes.

Purpose of the Study:

• To introduce and analyze a novel dynamical model, the doubly accelerated exclusion process (DAEP).
• To investigate the effects of modified exclusion rules on particle transport and interface dynamics.
• To compare the steady-state properties of DAEP with TASEP and AEP using order parameters and correlation functions.

Main Methods:

• Modification of the accelerated exclusion process (AEP) rules to include backward particle interaction within a maximum distance ℓ(max).
• Analytical and computational study of the resulting doubly accelerated exclusion process (DAEP).
• Calculation of a 'staggered' order parameter to characterize local order in the steady state.
• Analysis of temporal and spatial correlation functions in the interface picture.

Main Results:

• The DAEP exhibits accelerated transport and interface growth compared to the ordinary TASEP.
• A widening of the cluster size distribution is observed for cluster sizes above ℓ(max).
• The 'staggered' order parameter distinguishes the steady states of TASEP, AEP, and DAEP, explaining particle current behavior.
• Differences in steady states are further reflected in correlation functions.

Conclusions:

• The DAEP model successfully restores particle-vacancy symmetry and demonstrates enhanced dynamical properties.
• The introduction of a backward interaction significantly alters the system's steady-state characteristics and transport.
• The study provides insights into the relationship between local order, particle density, and transport in driven systems.