Re-appearance of phases in the phase diagram of asymmetrically coupled two-lane exclusion process

• Published in: Chaos, solitons and fractals Vol. 176; p. 114114
• Main Authors: Verma, Atul Kumar, N.C, Priyanka
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2023
• Subjects: Finite difference scheme; Finite resources; Monte Carlo simulation; Re-entrance transition; TASEP; Finite difference scheme; Finite resources; Re-entrance transition; Monte Carlo simulation; TASEP
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.114114

Inspired by the finite resources in transport systems, we propose a two-lane totally asymmetric simple exclusion process model with attachment, detachment, and a limited supply of particles. We use a generalized mean-field theory in collaboration with a finite difference scheme and boundary layer analysis to evaluate the significance of limited resources in our proposed system. The outcomes are verified using Monte Carlo simulations. The steady-state behavior of the system is determined using phase diagrams, density profiles, and phase transitions. The study reports a novel phenomenon in which a phase occupies two different regions far from each other in the phase diagrams for an intermediate value of the total number of particles in the system. We also observe unique single and multiple re-entrance transitions, double shock, and varied new mixed phases, leading to bulk-induced phase transitions as exciting findings in the present study. •The dynamics of the asymmetrically coupled two-lane TASEP with finite resources are investigated.•Mean-field approximation is used to understand the time-independent system properties.•Phase diagrams display a rich behavior with new features.•A rare feature in terms of the reappearance of the same phase in the phase diagram is observed.•Monte Carlo simulations validate all the theoretical outcomes.