Flow properties of driven-diffusive lattice gases: theory and computer simulation.

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Computational Physics

Background:

• The Katz-Lebowitz-Spohn model describes driven diffusive lattice gases with complex interactions.
• Understanding nonequilibrium steady states is crucial for various physical systems.
• Lattice gas models are fundamental in studying phase transitions and transport phenomena.

Purpose of the Study:

• To develop and validate advanced mean-field theories for the Katz-Lebowitz-Spohn model.
• To calculate flux and gap distributions in nonequilibrium steady states.
• To investigate the impact of interparticle interactions on system behavior.

Main Methods:

• Development of n-cluster mean-field theories (n=1-4).
• Calculation of flux and gap distributions for arbitrary parameters.
• Comparison of theoretical predictions with numerical simulation data.
• Analysis of results in one and two dimensions.

Main Results:

• The developed theories accurately predict flux and gap distributions.
• Simulations confirm the theoretical predictions across various conditions.
• Repulsive interparticle interactions significantly influence system behavior.
• Qualitative features align with other transport models.

Conclusions:

• N-cluster mean-field theories provide a robust framework for studying driven lattice gases.
• The models effectively capture the consequences of interparticle interactions.
• Theoretical predictions are validated by numerical simulations, enhancing confidence in the approach.