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Amorphous materials driven away from equilibrium display a diverse repertoire of complex, history-dependent behaviors. One striking feature is a failure to return to equilibrium after an abrupt change in otherwise static external…

Soft Condensed Matter · Physics 2025-06-12 Dor Shohat , Paul Baconnier , Itamar Procaccia , Martin van Hecke , Yoav Lahini

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 maps reveal how the…

Soft Condensed Matter · Physics 2025-05-08 Dor Shohat , Martin van Hecke

Under an oscillating mechanical drive, an amorphous material progressively forgets its initial configuration and might eventually converge to a limit cycle. Beyond quasistatic drivings, how structurally disordered systems lose or record…

Statistical Mechanics · Physics 2024-04-04 Elisabeth Agoritsas , Jonathan Barés

This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A…

chao-dyn · Physics 2007-05-23 N. Berglund , H. Kunz

We consider a binary system of particles with repulsive interactions that move in opposite or perpendicular directions to each other under an applied external drive. For opposite driving, at higher drives a phase-separated laned state forms…

Statistical Mechanics · Physics 2025-12-17 C. Reichhardt , C. J. O. Reichhardt

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

Soft Condensed Matter · Physics 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

We report results demonstrating a singularity in the hysteresis of magnetic materials, the reversal-field memory effect. This effect creates a nonanalyticity in the magnetization curves at a particular point related to the history of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. G. Katzgraber , F. Pazmandi , C. R. Pike , Kai Liu , R. T. Scalettar , K. L. Verosub , G. T. Zimanyi

A hysteresis model based on the assumption of fixed order magnetization reversals is proposed. The model uses one-dimensional diagram for representing states of a system despite of two-dimensional Preisach diagram. The distinctive feature…

Condensed Matter · Physics 2007-05-23 Sergey Langvagen

We report a novel singularity in the hysteresis of spin glasses, the reversal-field memory effect, which creates a non-analyticity in the magnetization curves at a particular point related to the history of the sample. The origin of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. G. Katzgraber , F. Pazmandi , C. R. Pike , Kai Liu , R. T. Scalettar , K. L. Verosub , G. T. Zimanyi

Models of interacting hysteretic elements, called hysterons, capture the sequential response and complex memory effects in a wide range of complex systems and can guide the design of intelligent metamaterials. However, even simple models…

Disordered Systems and Neural Networks · Physics 2025-12-18 Margot Teunisse , Martin van Hecke

We investigate hysteresis loops and return point memory for artificial square and kagome spin ice systems by cycling an applied bias force and comparing microscopic effective spin configurations throughout the hysteresis cycle. Return point…

Statistical Mechanics · Physics 2015-05-30 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

Under normal operations, memristive devices undergo variability in time and space and have internal dynamics. Interplay of memory and stochastic signal processing in memristive devices makes them candidates for performing bio-inspired tasks…

Emerging Technologies · Computer Science 2024-08-01 P. F. Gora , Ewa Gudowska-Nowak

We perform experimental and numerical studies of a granular system under cyclic-compression to investigate reversibility and memory effects. We focus on the quasi-static forcing of dense systems, which is most relevant to a wide range of…

Soft Condensed Matter · Physics 2021-07-07 Zackery A. Benson , Anton Peshkov , Derek C. Richardson , Wolfgang Losert

Plasticity in amorphous materials, such as glasses, colloids, or granular materials, is mediated by local rearrangements called "soft spots". Experiments and simulations have shown that soft spots are two-state entities interacting via…

Soft Condensed Matter · Physics 2022-05-11 Asaf Szulc , Muhittin Mungan , Ido Regev

A system with multiple transient memories can remember a set of inputs but subsequently forgets almost all of them, even as they are continually applied. If noise is added, the system can store all memories indefinitely. The phenomenon has…

Soft Condensed Matter · Physics 2014-08-07 Joseph D. Paulsen , Nathan C. Keim , Sidney R. Nagel

The Hopfield model describes a neural network that stores memories using all-to-all-coupled spins. Memory patterns are recalled under equilibrium dynamics. Storing too many patterns breaks the associative recall process because frustration…

We demonstrate experimentally that a granular packing of glass spheres is capable of storing memory of multiple strain states in the dynamic process of stress relaxation. Modeling the system as a non-interacting population of relaxing…

Soft Condensed Matter · Physics 2020-04-29 Kieran A. Murphy , Jonathon W. Kruppe , Heinrich M. Jaeger

We consider self-organization and memory formation in a mesoscopic model of an amorphous solid subject to a random shear strain protocol confined to a strain range $\pm \varepsilon_{\rm max}$. We develop proper read-out protocols to show…

Soft Condensed Matter · Physics 2025-06-03 Muhittin Mungan , Dheeraj Kumar , Sylvain Patinet , Damien Vandembroucq

We show experimentally that both single and multiple mechanical memories can be encoded in an amorphous bubble raft, a prototypical soft glass, subject to an oscillatory strain. In line with recent numerical results, we find that multiple…

Statistical Mechanics · Physics 2019-04-24 Srimayee Mukherji , Neelima Kandula , A K Sood , Rajesh Ganapathy

The nonlinear response of driven complex materials -- disordered magnets, amorphous media, crumpled sheets -- features intricate transition pathways where the system repeatedly hops between metastable states. % which encode memory effects.…

Soft Condensed Matter · Physics 2021-12-10 Hadrien Bense , Martin van Hecke