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Totally asymmetric exclusion process fed by using a non-Poissonian clock
1Department of Physics, University of Jyvaskyla, P.O. Box 35, FI-40014 University of Jyvaskyla, Finland.
Summary
This study examines particle flow in a one-dimensional system with power-law waiting times. Researchers characterized fluctuation propagation using simulations and partition function analysis.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Complex Systems
Background:
- The totally asymmetric exclusion process (TASEP) is a fundamental model in non-equilibrium statistical mechanics.
- Understanding systems fed by processes with heavy-tailed distributions is crucial for modeling real-world phenomena.
- Open boundary conditions introduce complexities in particle dynamics and system behavior.
Purpose of the Study:
- To investigate the one-dimensional totally asymmetric open-boundary exclusion process (TASEP) when particle injection follows a power-law distribution.
- To analyze the impact of modified Pareto-distributed waiting times on the system's dynamics.
- To characterize the propagation of fluctuations within the TASEP under these specific feeding conditions.
Main Methods:
- Kinetic Monte Carlo (KMC) simulations were employed to model the particle dynamics.
- Numerical evaluation of the steady-state partition function was performed.
- A modified Pareto distribution was used to define the jump rate for particles entering the system.
Main Results:
- The study successfully characterized the propagation of fluctuations through the TASEP.
- The behavior of the system under power-law distributed waiting times was elucidated.
- Simulation and analytical methods provided consistent insights into the system's steady-state properties.
Conclusions:
- The modified Pareto distribution provides a suitable framework for modeling particle injection in TASEP.
- Fluctuation propagation in this open TASEP is well-characterized by the chosen simulation and analytical techniques.
- This research contributes to the understanding of non-equilibrium systems with heavy-tailed driving processes.
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