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Constraint relaxation leads to jamming
Eial Teomy1, Yair Shokef1,2
1School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel.
Physical Review. E
|January 20, 2021
Summary
Adding transitions to out-of-equilibrium systems can unexpectedly decrease or eliminate activity. This counterintuitive phenomenon occurs when new transitions lead to less active states, impacting the system's overall dynamics and phase transitions.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Complex Systems
Background:
- Equilibrium systems typically show increased activity with added transitions.
- Out-of-equilibrium systems present unique challenges to predicting dynamic behavior.
- Understanding activity in non-equilibrium systems is crucial for various fields.
Purpose of the Study:
- To investigate the effect of adding transitions on the activity of out-of-equilibrium systems.
- To demonstrate how adding transitions can reduce or eliminate system activity.
- To explore the impact on absorbing state phase transitions.
Main Methods:
- Analysis of six related kinetically constrained lattice gas models.
- Numerical simulations to observe system dynamics.
- Development of a semi-mean-field approximation for theoretical description.
Main Results:
- Demonstrated that adding transitions to out-of-equilibrium systems can decrease activity.
- Observed cases where activity vanished due to transitions into less active states.
- Found that added transitions influence absorbing state phase transitions.
- Semi-mean-field approximation qualitatively matched simulation results.
Conclusions:
- The intuitive expectation of increased activity with added transitions does not hold for all out-of-equilibrium systems.
- The introduction of specific transitions can lead to non-intuitive reductions in system activity.
- Kinetically constrained models provide valuable insights into complex non-equilibrium dynamics.
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