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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Criticality and strong intermittency in the Lorentz channel
A K Karlis1, F K Diakonos, C Petri
1Department of Physics, University of Athens, GR-15771 Athens, Greece. karlis@physi.uni-heidelberg.de
Physical Review Letters
|September 26, 2012
Summary
Criticality emerges in noninteracting particles due to power-law correlations from intermittent dynamics. This self-organization is driven by Fermi acceleration and ballistic corridors, even with external forces.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
- Complex Systems
Background:
- Intermittent dynamics in single-particle phase space create long-range correlations.
- These correlations can lead to emergent criticality in particle ensembles.
- External driving can influence system dynamics and potentially maintain criticality.
Purpose of the Study:
- To demonstrate the emergence of criticality in a system of noninteracting particles.
- To investigate the role of power-law cross correlations and intermittent dynamics.
- To analyze the effects of external driving and Fermi acceleration on system self-organization.
Main Methods:
- Simulation of noninteracting particles in an infinite Lorentz channel.
- Analysis of interparticle long-range correlations and power-law behavior.
- Investigation of dynamics under external driving and Fermi acceleration.
Main Results:
- Emergence of criticality driven by power-law cross correlations.
- Identification of intermittent dynamics and ballistic corridors as the origin of correlations.
- Demonstration of dynamic persistence of criticality under external driving.
- Synchronization of particle motion with ballistic corridors via Fermi acceleration.
- Evidence of self-organization in the particle ensemble over time.
Conclusions:
- Criticality can emerge in noninteracting particle systems through specific correlation structures.
- Intermittent dynamics and Fermi acceleration are key mechanisms for self-organization and criticality.
- The system exhibits complex emergent behaviors adaptable to external influences.
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