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Attractor nonequilibrium stationary states in perturbed long-range interacting systems
Michael Joyce1, Jules Morand1,2,3,4, Pascal Viot4
1Laboratoire de Physique Nucléaire et de Hautes Énergies, UPMC IN2P3 CNRS UMR 7585, Sorbonne Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
Physical Review. E
|June 15, 2016
Summary
Long-range interacting systems typically reach unique nonequilibrium states. Local perturbations drive these systems to a single, stable state, regardless of initial conditions, even after the perturbation is removed.
Area of Science:
- Statistical Mechanics
- Complex Systems
Background:
- Isolated long-range interacting particle systems often relax to nonequilibrium quasistationary states (QSSs).
- The stability of these QSSs when systems are not isolated (i.e., perturbed) is a key unresolved question.
Purpose of the Study:
- To investigate the effect of internal local perturbations on the QSSs of long-range interacting systems.
- To determine if these perturbations lead to a unique, robust stationary state.
Main Methods:
- Analytical and numerical approaches applied to a one-dimensional model.
- Perturbations introduced at particle collisions, dependent on local properties.
Main Results:
- Internal local perturbations drive diverse QSSs towards a single, unique QSS.
- This unique QSS is independent of initial conditions but determined by system forces and perturbation details.
- The system evolves to this unique state and remains there even after perturbation removal.
Conclusions:
- Long-range interacting systems subjected to local perturbations evolve to a unique, robust nonequilibrium stationary state.
- This behavior is potentially generic for systems with local property-dependent perturbations.
- Perturbations fundamentally alter the long-term dynamics of these systems.
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