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Updated: Jul 17, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Totally asymmetric exclusion process with long-range hopping.

J Szavits-Nossan¹, K Uzelac

¹Institute of Physics, P. O. Box 304, Bijenicka cesta 46, HR-10001 Zagreb, Croatia. juraj@ifs.hr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 7, 2007

Summary

This study explores a generalized exclusion process, revealing new density profile features and phase separation in specific regimes. The findings offer insights into particle dynamics and system behavior under modified exclusion rules.

Related Experiment Videos

Last Updated: Jul 17, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Area of Science:

Statistical Mechanics
Non-equilibrium Physics
Complex Systems

Background:

The one-dimensional totally asymmetric exclusion process (TASEP) is a fundamental model for studying driven systems with open boundaries.
Generalizing TASEP by allowing longer jumps introduces new behaviors not seen in the standard model.

Purpose of the Study:

To investigate the effects of generalized long-range jumps on the one-dimensional totally asymmetric exclusion process (TASEP).
To analyze the resulting density profiles, phase transitions, and particle dynamics under modified boundary conditions.

Main Methods:

Monte Carlo simulations were employed to model the system's behavior.
The domain-wall approach was utilized for theoretical analysis.

Main Results:

For sigma > 1, the standard TASEP phase diagram is reproduced.
When 1 < sigma < 2, novel features emerge in density profiles, including localized domain walls and phase separation at first-order transitions.
In the maximum-current phase, density profiles exhibit an algebraic decay dependent on sigma.

Conclusions:

The generalization of TASEP with long-range jumps significantly alters system behavior, particularly in the 1 < sigma < 2 regime.
Phase separation and algebraic decay of density profiles are key phenomena arising from these longer jumps.
Analytical results were derived for sigma <= 1, where transitions are absent.