Metastability on the steady states in a Fermi-like model of counterflowing particles

Abstract

In this work we propose a two-dimensional extension of a previously defined one-dimensional version of a model of counterflowing particles, which considers an adapted Fermi-Dirac distribution to describe the transition probabilities. In this modified and extended version of the model, we consider that only particles of different species interact and they hop through the cells of a two dimensional rectangular lattice with probabilities taking into account diffusive and scattering aspects. We show that for a sufficiently low level of randomness ($\alpha \ge 10$), the system can relax to a mobile self-organized steady state of counterflow (lane formation) or to an immobile state (clog) depending sensitively on the initial conditions if the system has an average density near the crossover value (${\rho }_c$). We also show that for certain suitable mixing of the species, we peculiarly have 3 different situations: (i) The immobile,(ii) Mobile organized by lanes, and (iii) Mobile without lane formation for the same density value. All of our results were obtained by performing Monte Carlo simulations.

arXiv comment5 pages, 6 figures

References in corpus (13)

• Social Force Model for Pedestrian Dynamics
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Metastable States in Cellular Automata for Traffic Flow
• Experimental study of pedestrian counterflow in a corridor
• Quantitative analysis of pedestrian counterflow in a cellular automaton model
• The Nature of the Condensate in Mass Transport Models
• Boundary induced phase transitions in driven lattice gases with meta-stable states
• First- and second-order phase transitions in a driven lattice gas with nearest-neighbor exclusion
• Multilane driven diffusive systems
• Lane formation in a lattice model for oppositely driven binary particles
• Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams
• Mobile-clogging transition in a Fermi-like model of counterflowing particles
• Numerical study of condensation in a Fermi-like model of conterflowing particles via Gini coefficient