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Application of the minimal state-space realization to hysteresis systems is studied. The method allows to construct the space of states and establish the state transition rules using the input equivalence, which can be obtained for…

Dynamical Systems · Mathematics 2017-01-04 S. E. Langvagen

We study the approach towards equilibrium in a dynamic Ising model, the Q2R cellular automaton, with microscopic reversibility and conserved energy for an infinite one-dimensional system. Starting from a low-entropy state with positive…

Statistical Mechanics · Physics 2017-08-02 Kristian Lindgren , Eckehard Olbrich

Natural spatiotemporal processes can be highly non-stationary in many ways, e.g. the low-level non-stationarity such as spatial correlations or temporal dependencies of local pixel values; and the high-level variations such as the…

Machine Learning · Computer Science 2019-04-23 Yunbo Wang , Jianjin Zhang , Hongyu Zhu , Mingsheng Long , Jianmin Wang , Philip S Yu

We propose a novel and fully data driven control scheme which relies on machine learning (ML). Exploiting recently developed ML-based prediction capabilities of complex systems, we demonstrate that nonlinear systems can be forced to stay in…

Machine Learning · Computer Science 2021-03-02 Alexander Haluszczynski , Christoph Räth

Torque, torque relaxation, and magnetization measurements on a AuFe spin glass sample are reported. The experiments carried out up to 7 T show a transverse irreversibility line in the (H,T) plane up to high applied fields, and a distinct…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Petit , L. Fruchter , I. A. Campbell

Multistability is a phenomenon prevalent in many natural systems. In climate, for example, it allows the possibility of irreversible consequences on planetary scale as a result of climate change. Indeed, a climate ``tipping element'' is a…

Atmospheric and Oceanic Physics · Physics 2026-04-14 George Datseris , Johannes Lohmann , Oisín Hamilton , Jacob Haqq-Misra

Magnetic domain structures are a fascinating area of study with interest deriving both from technological applications and fundamental scientific questions. The nature of the striped magnetic phases observed in ultra-thin films is one such…

Materials Science · Physics 2015-05-13 Tom Hosiawa , A. B. MacIsaac

Single-molecule magnets weakly coupled to two ferromagnetic leads act as memory devices in electronic circuits---their response depends on history, not just on the instantaneous applied voltage. We show that magnetic anisotropy introduces a…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Carsten Timm , Massimiliano Di Ventra

The notion of complex energy landscape underpins the intriguing dynamical behaviors in many complex systems ranging from polymers, to brain activity, to social networks and glass transitions. The spin glass state found in dilute magnetic…

Disordered Systems and Neural Networks · Physics 2017-07-19 Anjana Samarakoon , Taku J. Sato , Tianran Chen , Gai-Wei Chern , Junjie Yang , Israel Klich , Ryan Sinclair Haidong Zhou , Seung-Hun Lee

The Ising model is of prime importance in the field of statistical mechanics. Here we show that Ising-type interactions can be realized in periodically-driven circuits of stochastic binary resistors with memory. A key feature of our…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. J. Dowling , Y. V. Pershin

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

Reinforcement Learning faces an important challenge in partial observable environments that has long-term dependencies. In order to learn in an ambiguous environment, an agent has to keep previous perceptions in a memory. Earlier memory…

Machine Learning · Computer Science 2023-02-22 Alper Demir

Plants are capable of intelligent responses to complex environmental signals. Learning and memory play fundamental roles in such responses. Two simple models of plant memory are proposed based on the calcium-signalling system. The memory…

Condensed Matter · Physics 2009-11-10 Indrani Bose , Rajesh Karmakar

Multiple transient memories, originally discovered in charge-density-wave conductors, are a remarkable and initially counterintuitive example of how a system can store information about its driving. In this class of memories, a system can…

Soft Condensed Matter · Physics 2013-09-27 Nathan C. Keim , Joseph D. Paulsen , Sidney R. Nagel

According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of fluctuation-driven ordering with a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Tadeusz Platkowski

Memory formation in matter is a theme of broad intellectual relevance; it sits at the interdisciplinary crossroads of physics, biology, chemistry, and computer science. Memory connotes the ability to encode, access, and erase signatures of…

Soft Condensed Matter · Physics 2019-08-27 Nathan C. Keim , Joseph D. Paulsen , Zorana Zeravcic , Srikanth Sastry , Sidney R. Nagel

The nonequilibrium behaviour of a core-shell nanoparticle has been studied by Monte- Carlo simulation. The core consists of Ising spins of $\sigma=1/2$ and the shell contains Ising spins of $S=1$. The interactions within the core and in the…

Statistical Mechanics · Physics 2021-02-08 Erol Vatansever , Muktish Acharyya

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

We study mean-field Ising models whose coupling depends on the magnetization via a feedback function. We identify mixed phases (MPs) and show that they can be stable at zero temperature for sufficiently strong feedback. Moreover, stable MPs…

Statistical Mechanics · Physics 2025-06-11 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky
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