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Nonconserving locally disordered exclusion process under constrained resources
Nisha Sharma1, Bipasha Pal2, Ankita Gupta3
1Indian Institute of Technology Ropar, Department of Mathematics, Rupnagar 140001, Punjab, India.
Physical Review. E
|June 19, 2026
Summary
We studied a disordered particle transport model with binding defects and limited resources. Increasing defect obstruction simplifies the system
Area of Science:
- Statistical Mechanics
- Non-equilibrium Systems
- Complex Systems
Background:
- Transport processes are fundamental in natural and man-made systems.
- Disordered systems with dynamic defects present complex behaviors.
- Understanding particle dynamics under resource constraints is crucial.
Purpose of the Study:
- To analyze a disordered totally asymmetric simple exclusion process with Langmuir kinetics.
- To investigate the impact of a dynamic defect and finite resources on system behavior.
- To map the phase diagram and understand phase transitions.
Main Methods:
- Mean-field approach to analyze steady-state behavior.
- Computation of density profiles and phase diagrams in the α-β parameter space.
- Monte Carlo simulations using the Gillespie algorithm for verification.
Main Results:
- A rich quantitative and qualitative phase structure was revealed.
- Finite resources and Langmuir kinetics significantly impact stationary properties.
- Increasing obstruction factor simplifies the phase diagram, suppressing certain phases.
Conclusions:
- The model exhibits complex phase behavior influenced by defect dynamics and resource availability.
- The obstruction factor effectively captures the combined effects of defect density and slowdown.
- Mean-field predictions are validated by simulations, offering insights into disordered transport.
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