Reservoir crowding in a dynamically disordered bidirectional system with narrow entrances

Ankita Gupta and Arvind Kumar Gupta

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: Motivated by the presence of imperfections in the complex processes of vehicular traffic and intracellular transport, we investigate a two-lane dynamically disordered system with narrow entrances. The movement of the particles is obstructed by the presence of defects that bind/unbind stochastically from each site. A global constraint on both the number of particles and defects is considered which is characterized by individual reservoirs. Specifically, the particle reservoir features reservoir crowding, which affects the entry-exit rates of particles. We analyzed the model within the mean-field framework and examined complex phenomena such as stationary phase diagrams, particle densities and spontaneous symmetry breaking. The role of the various parameters: binding/unbinding rate of defects, entry-exit rates of the particles, hopping rate of particles in the presence of defect and the number of particles/defects, is thoroughly examined. Our results display a rich behaviour, emphasizing the influence of reservoir crowding, resulting in both symmetric and asymmetric phases. Another important consequence is the back-and-forth transition and the persistence of a localized domain wall in the system, even for abundant particle resources. All theoretical findings are validated by extensive Monte Carlo simulations.

Keywords: Exclusion process; Dynamical disorder; Narrow entrances; Reservoir crowding; Mean-field approximation (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012201

DOI: 10.1016/j.chaos.2023.114318

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