Understanding non-equilibrium dynamics in complex systems: This research introduces a novel method to determine the large-scale, non-equilibrium steady-state properties of one-dimensional multi-species driven diffusive systems with open boundaries. Generalizing the max-min current principle, the method focuses on systems with multiple types of particles. The study provides a foundation for analyzing the behavior of complex systems far from equilibrium. The method relies on solving the Riemann problem of the associated system of conservation laws. It demonstrates that the effective density of a reservoir depends not only on boundary hopping rates but also on the dynamics of the entire system. The phase diagram of such systems is established using Riemann variables. The theoretical predictions are then validated through comparisons with numerical simulations. This research advances the understanding of interacting particle systems, with potential implications for various fields, including physics, materials science, and engineering. By elucidating the interplay between bulk and reservoirs, it offers valuable insights into the dynamics of complex systems.
Published in Europhysics Letters, this study contributes to the journal's focus on condensed matter physics and non-equilibrium statistical mechanics. By introducing a new method for analyzing multi-species driven diffusive systems, the research aligns with the journal's scope and provides valuable insights for physicists working in related areas.
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| Science: Physics | 14 |
| Science: Mathematics | 3 |
| Science: Chemistry: Physical and theoretical chemistry | 1 |