Generalizing multiple memories from a single drive: The hysteron latch

Abstract

Far-from-equilibrium systems can form memories of previous deformations or driving. In systems from sheared glassy materials to buckling beams to crumpled sheets, this behavior is dominated by return-point memory, in which revisiting a past extremum of driving restores the system to a previous state. Cyclic driving with both positive and negative strains forms multiple nested memories -- as in a single-dial combination lock -- while asymmetric driving (only positive strain) cannot. We study this case in a general model of hysteresis that considers discrete elements called hysterons. We show how two hysterons with a frustrated interaction can violate return-point memory, realizing multiple memories of asymmetric driving. This reveals a general principle for designing systems that store sequences of cyclic driving, whether symmetric or asymmetric. In disordered systems, asymmetric driving is a sensitive tool for the direct measurement of frustration.

7 pages, 5 figures

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Cited by in corpus (7)

• Geometric control and memory in networks of hysteretic elements
• Transition Graphs of Interacting Hysterons: Structure, Design, Organization and Statistics
• Self-organization and memory in an disordered solid subject to random loading
• Dynamic driving enables independent control of material bits for targeted memory
• Yielding and memory in a driven mean-field model of glasses
• A catastrophic approach to designing interacting hysterons
• Transients and multiperiodic responses: a hierarchy of material bits