Geometric Control and Memory in Networks of Hysteretic Elements

Physical Review Letters, vol. 134, pp. 188201

Abstract

The response of driven frustrated media stems from interacting hysteretic elements. We derive explicit mappings from networks of hysteretic springs to their abstract representation as interacting hysterons. These mappings reveal how the physical network controls the signs, magnitudes, symmetries, and pairwise nature of the hysteron interactions. In addition, strong geometric nonlinearities can produce pathways that require excess hysterons or even break hysteron models. Our results pave the way for metamaterials with geometrically controlled interactions, pathways, and functionalities, and highlight fundamental limitations of abstract hysterons in modeling disordered systems.

Authors 2

1. Dor Shohat

   Tel Aviv University · Institute for Atomic and Molecular Physics

   Affiliation as printed

   AMOLF

   Tel Aviv University

2. Martin van Hecke Aachen

   Leiden University · Institute for Atomic and Molecular Physics

   Affiliation as printed

   AMOLF

   Universiteit Leiden