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Profusion of transition pathways for interacting hysterons
1AMOLF, Science Park 104, 1098 XG Amsterdam, Netherlands and Huygens-Kamerlingh Onnes Lab, Universiteit Leiden, P.O. Box 9504, NL-2300 RA Leiden, Netherlands.
Physical Review. E
|December 24, 2021
Summary
Interacting hysteretic elements (hysterons) create complex pathways and memory effects. Unlike independent hysterons, these interactions generate diverse transition graphs, offering new possibilities for information processing in complex materials.
Area of Science:
- Physics
- Materials Science
- Complex Systems
Background:
- Cyclically driven complex media exhibit memory effects captured by hysteretic elements called hysterons.
- The Preisach model, using independent hysterons, describes a limited set of pathways that adhere to return point memory.
Purpose of the Study:
- To investigate the impact of hysteron interactions on system pathways and memory.
- To explore emergent behaviors beyond the limitations of independent hysteron models.
Main Methods:
- Modeling of interacting hysteretic elements (hysterons).
- Analysis of transition graphs and pathway characteristics.
- Comparison with the Preisach model for independent hysterons.
Main Results:
- Three interacting hysterons generate over 15,000 distinct transition graphs.
- The majority of these pathways violate the return point memory property.
- Interacting hysterons exhibit features fundamentally different from those predicted by the Preisach model.
Conclusions:
- Hysteron interactions significantly expand the complexity of pathways and memory effects in driven systems.
- This interaction-driven complexity opens avenues for designing specific pathways for information processing.
- The findings challenge the universality of the Preisach model for complex hysteretic behavior.
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