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Scanning probe experiments such as scanning tunneling microscopy (STM) and atomic force microscopy (AFM) on strongly correlated electronic systems often reveal complex pattern formation on multiple length scales. By studying the universal…

Strongly Correlated Electrons · Physics 2019-04-03 L. Burzawa , Shuo Liu , E. W. Carlson

When modeling geostatistical or areal data, spatial structure is commonly accommodated via a covariance function for the former and a neighborhood structure for the latter. In both cases the resulting spatial structure is a consequence of…

Methodology · Statistics 2015-04-20 Garritt L. Page , Fernando A. Quintana

Memory effects are ubiquitous in nature and are particularly relevant at the nanoscale where the dynamical properties of electrons and ions strongly depend on the history of the system, at least within certain time scales. We review here…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Yuriy V. Pershin , Massimiliano Di Ventra

Most applications of memory effects in disordered optical media, such as the tilt-tilt and shift-shift spatial correlations, have focused on imaging through and inside biological tissues. Here we put forward a metamaterial platform not only…

Optics · Physics 2018-11-15 Tiago J. Arruda , Alexandre S. Martinez , Felipe A. Pinheiro

A droplet bouncing on a liquid bath can self-propel due to its interaction with the waves it generates. The resulting "walker" is a dynamical association where, at a macroscopic scale, a particle (the droplet) is driven by a pilot-wave…

Soft Condensed Matter · Physics 2013-07-24 Emmanuel Fort , Antonin Eddi , Arezki Boudaoud , Julien Moukhtar , Yves Couder

Adaptive behavior, cognition and emotion are the result of a bewildering variety of brain spatiotemporal activity patterns. An important problem in neuroscience is to understand the mechanism by which the human brain's 100 billion neurons…

Neurons and Cognition · Quantitative Biology 2011-05-09 Paul Expert , Renaud Lambiotte , Dante R. Chialvo , Kim Christensen , Henrik Jeldtoft Jensen , David J. Sharp , Federico Turkheimer

The motion of two distant trapped particles or mechanical oscillators can be strongly coupled by light modes in a high finesse optical resonator. In a two mode ring cavity geometry, trapping, cooling and coupling is implemented by the same…

Quantum Physics · Physics 2012-11-29 Wolfgang Niedenzu , Raimar M. Sandner , Claudiu Genes , Helmut Ritsch

Experiments often probe observables that correspond to low-dimensional projections of highdimensional dynamics. In such situations distinct microscopic configurations become lumped into the same observable state. It is well known that…

Statistical Mechanics · Physics 2024-04-05 Xizhu Zhao , David Hartich , Aljaž Godec

We examine the emergence of dynamical memory effects in quantum processes having indefinite time direction and causal order. In particular, we focus on the class of phase-covariant qubit channels, which encompasses some of the most…

Quantum Physics · Physics 2024-07-23 Göktuğ Karpat , Barış Çakmak

Dynamical coherent structure (pattern) formation in the Klein-Gordon lattice excited by periodic external field near the optical resonance is studied. It is shown that besides spatial patterns discovered recently (V.M.Burlakov,…

patt-sol · Physics 2009-10-31 Victor M. Burlakov

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

Memorization in language models is widely studied but remains difficult to isolate and control. Understanding when and what models memorize is essential for explaining their predictions, yet existing approaches are post-hoc: they can detect…

Computation and Language · Computer Science 2026-04-08 Xiangbo Zhang , Ali Emami

Molecular dynamics simulations are performed to investigate the plastic response of a model glass to a local shear transformation in a quiescent system. The deformation of the material is induced by a spherical inclusion that is gradually…

Soft Condensed Matter · Physics 2015-09-30 Nikolai V. Priezjev

We propose a dynamical approach to quantum memories using an oscillator-cavity model. This overcomes the known difficulties of achieving high quantum input-output fidelity with storage times long compared to the input signal duration. We…

Quantum Physics · Physics 2013-05-29 Q. Y. He , M. D. Reid , E. Giacobino , J. Cviklinski , P. D Drummond

Bi-stable objects that are pushed between states by an external field are often used as a simple model to study memory formation in disordered materials. Such systems, called hysterons, are typically treated quasistatically. Here, we…

Soft Condensed Matter · Physics 2023-08-31 Varda F. Hagh , Chloe W. Lindeman , Chi Ian Ip , Sidney R. Nagel

The motion of an optically trapped sphere constrained by the vicinity of a wall is investigated at times where hydrodynamic memory is significant. First, we quantify, in bulk, the influence of confinement arising from the trapping potential…

Soft Condensed Matter · Physics 2009-11-13 Sylvia Jeney , Branimir Lukić , Jonas A. Kraus , Thomas Franosch , László Forró

We study the effect of temporal correlation in a Langevin equation describing non-adiabatic dynamics at metal surfaces. For a harmonic oscillator the Langevin equation preserves the quantum dynamics exactly and it is demonstrated that…

Materials Science · Physics 2010-10-07 Thomas Olsen , Jakob Schiøtz

The influence of thermal processing on the potential energy, atomic structure, and mechanical properties of metallic glasses is examined using molecular dynamics simulations. We study the three-dimensional binary mixture, which was first…

Soft Condensed Matter · Physics 2019-12-23 Nikolai V. Priezjev

We use the model of ballistic deposition as a simple way to establish cooperation among the columns of a growing surface, \emph{the single individual of the same society}. We show that cooperation generates memory properties and at same…

Statistical Mechanics · Physics 2007-05-23 R. Cakir , P. Grigolini , M. Ignaccolo

The diffusion equation is extended by including spatial-temporal memory in such a manner that the conservation of the concentration is maintained. The additional memory term gives rise to the formation of non-trivial stationary solutions.…

Statistical Mechanics · Physics 2009-11-10 Steffen Trimper , Knud Zabrocki