Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
Jakub Otwinowski, Stefan Boettcher (Emory U.)
TL;DR
This paper investigates a modified totally asymmetric exclusion process with hierarchical long-range connections, revealing a simplified phase diagram and unique dynamic behaviors, with potential applications in non-equilibrium transport systems.
Contribution
It introduces a new hierarchical long-range connection model for TASEP that breaks particle-hole symmetry and simplifies the phase diagram compared to traditional models.
Findings
No maximum-current phase observed
Simplified phase diagram with fewer phases
Dynamic features suggest potential applications
Abstract
A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This model breaks the particle-hole symmetry observed on an ordinary one-dimensional lattice and results in a surprisingly simple phase diagram, without a maximum-current phase. Numerical simulations of the model with open boundary conditions reveal a number of dynamic features and suggest possible applications.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods