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Updated: May 1, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Asymmetric simple exclusion process on chains with a shortcut
Nadezhda Bunzarova1, Nina Pesheva2, Jordan Brankov1
1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russian Federation and Institute of Mechanics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria.
A shortcut in a molecular motor network can unexpectedly create traffic jams. This study reveals that a shunted segment can enter a shock phase, altering flow dynamics and density distributions.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- The asymmetric simple exclusion process (TASEP) models directed transport in biological and physical systems.
- Previous studies on TASEP networks did not fully explore the impact of shortcuts on flow dynamics.
Purpose of the Study:
- To investigate the effects of a shortcut on particle flow and density in a three-segment TASEP network.
- To revise previous findings regarding maximum current conditions in such networks.
Main Methods:
- Theoretical analysis using effective rates' approximation.
- Numerical simulations on finite-size networks.
Main Results:
- The shunted segment can exhibit low-density, high-density, or coexistence (shock) phases.
- A shock phase with a delocalized domain wall occurs in specific network configurations.
- Shortcut placement significantly influences density profiles, leading to high- or low-density phases.
Conclusions:
- Shortcuts in TASEP networks can induce traffic jams, contrary to expectations.
- The behavior of the shock phase is governed by a cubic equation dependent on shortcut probability.
- Shortcut current provides a universal parameter for shock phase characteristics.
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