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Minimal descriptions of cyclic memories
Joseph D Paulsen1,2, Nathan C Keim2,3
1Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, NY 13244, USA.
Proceedings. Mathematical, Physical, and Engineering Sciences
|July 12, 2019
Summary
Researchers developed a unified framework using directed graphs to model and understand cyclic memory in materials. This approach simplifies complex behaviors, enabling quantification of memory capacity across diverse materials.
Area of Science:
- Materials Science
- Non-equilibrium Physics
- Complex Systems
Background:
- Materials out of equilibrium can exhibit 'learning' or memory of repeated inputs.
- A unified theoretical framework for understanding these cyclic memory behaviors is currently lacking.
- Existing models often focus on specific phenomena, hindering broad comparisons.
Purpose of the Study:
- To develop a general framework for representing and analyzing cyclic memory behaviors in materials.
- To construct simple, physically motivated models that capture key memory characteristics.
- To provide a method for comparing and quantifying memory capacity across different material systems.
Main Methods:
- Representing cyclic memory behaviors using directed graphs.
- Developing minimal, physically inspired models that generate these graph structures.
- Analyzing the necessary components for specific memory behaviors like transient memory and the Mullins effect.
Main Results:
- Demonstrated that a simple model of worn grass can reproduce multiple transient memories and the Mullins effect.
- Showcased the ability of directed graphs to represent complex memory phenomena observed in diverse materials.
- Quantified memory capacity within the developed minimal models.
Conclusions:
- The directed graph framework offers a unified approach to diagnosing and comparing cyclic memory in materials.
- Minimal models are sufficient to capture essential aspects of complex memory behaviors.
- This work lays the foundation for a more systematic understanding of material memory.
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