Interplay of reservoirs in a bidirectional system

Area of Science:

• Statistical Mechanics
• Complex Systems
• Many-Body Physics

Background:

• Real-world transport phenomena often involve multiple interacting species.
• Understanding these systems requires models that capture inter-species dynamics and external influences.

Purpose of the Study:

• To investigate a bidirectional totally asymmetric simple exclusion process (TASEP) with two distinct particle species.
• To analyze the stationary characteristics and phase transitions of this two-species TASEP model.
• To explore the influence of particle populations (filling factors) on system behavior.

Main Methods:

• Theoretical analysis using mean-field approximation.
• Extensive validation through Monte Carlo simulations.
• Comprehensive analysis of system densities and currents.

Main Results:

• The system exhibits spontaneous symmetry-breaking phenomena under equal filling factors, leading to symmetric and asymmetric phases.
• The phase diagram shows a unique asymmetric phase and non-monotonic phase variations with filling factor.
• With unequal filling factors, up to five phases are observed, including a phase with maximal current for one species.

Conclusions:

• The two-species TASEP model effectively captures complex transport dynamics observed in nature.
• Particle population balance significantly influences system symmetry and phase behavior.
• The model provides insights into emergent phenomena like symmetry breaking and optimized transport in multi-component systems.