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In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type of regularization of piecewise smooth differential equations where the past of a…

Dynamical Systems · Mathematics 2023-10-24 Kristian Uldall Kristiansen

The physical origin of hysteresis in condensed matter had not been previously identified. The current "science of hysteresis" is useful, but limited by phenomenological modeling. This article fills the void by revealing the exclusive cause…

General Physics · Physics 2011-03-14 Yuri Mnyukh

The pulse-recloser uses pulse testing technology to verify that the line is clear of faults before initiating a reclose operation, which significantly reduces stress on the system components (e.g. substation transformers) and voltage sags…

Systems and Control · Computer Science 2017-06-20 M. E. Raoufat , A. Taalimi , K. Tomsovic , R. Hay

We modify the kinetic Ising model with Metropolis dynamics, allowing each spin to interact only with $q$ spins randomly chosen from the whole system, which corresponds to the topology of a complete graph. We show that the model with $q \ge…

Statistical Mechanics · Physics 2015-11-11 Arkadiusz Jȩdrzejewski , Anna Chmiel , Katarzyna Sznajd-Weron

A low-cost and simple setup for measuring the high-frequency hysteresis loops of magnetic samples is described. An AMF in the range 6-100 kHz with amplitude up to 80 mT is produced by a Litz wire coil. The latter is air-cooled using a…

Materials Science · Physics 2015-06-22 V. Connord , B. Mehdaoui , R. P. Tan , J. Carrey , M. Respaud

We use the diagram technique for spin operators to calculate Green's functions and observables of the spin-1/2 quantum Heisenberg antiferromagnet on a square lattice. The first corrections to the self-energy and interaction are taken into…

Strongly Correlated Electrons · Physics 2009-10-31 A. Sherman , M. Schreiber

Although jammed packings of soft spheres exist in potential energy landscapes with a vast number of minima, when subjected to cyclic shear they may revisit the same configurations repeatedly. Simple hysteretic spin models, in which particle…

Soft Condensed Matter · Physics 2025-04-04 Chloe W. Lindeman , Sidney R. Nagel

The hysteresis properties of ferromagnetic materials at low field are described by the Rayleigh law. We analyze the problem in light of modern statistical mechanics models of hysteresis. In particular, we compute the demagnetization curve…

Disordered Systems and Neural Networks · Physics 2009-11-07 Stefano Zapperi , Alessandro Magni , Gianfranco Durin

We perform computer simulations to probe the magnetic hysteresis in a two-dimensional ($L^{}_x\times L^{}_y$) assembly of magnetic nanoparticles as a function of dipolar interaction strength $h^{}_d$, temperature $T$, aspect ratio…

Materials Science · Physics 2021-09-14 Manish Anand

Hysteretic behaviour accompanies any first-order phase transition, forming a basis for many applications. However, its quantitative understanding remains challenging, and even a qualitative understanding of pronounced hysteresis broadening…

The hydrogen production curve of the electrolyzer describes the non-linear and non-convex relationship between its power consumption and hydrogen production. An accurate representation of this curve is essential for the optimal scheduling…

Optimization and Control · Mathematics 2023-09-14 Enrica Raheli , Yannick Werner , Jalal Kazempour

A generalized phenomenological model for the critical state of type-II superconductors with magnetic field parallel to the superconducting plate is proposed. This model considers the global magnetization including both the equilibrium…

Superconductivity · Physics 2022-01-19 Wei Xie , Yu-Hao Liu , Hai-Hu Wen

We present a general study of frequency and magnetic field dependence of the specific heat power produced during field-driven hysteresis cycles in magnetic nanoparticles with relevance to hyperthermia applications in biomedicine. Employing…

Materials Science · Physics 2014-12-15 S. Ruta , O. Hovorka , R. Chantrell

We show how the phase diagram for spin torque switching in the case of perpendicular anisotropy is altered at nonzero temperature. The hysteresis region in which the parallel and antiparallel states coexist shrinks, and a new region of…

Materials Science · Physics 2012-11-08 Ru Zhu , Pieter B. Visscher

We present the results of Monte Carlo simulations of the magnetic properties of a model for a single nanoparticle consisting in a ferromagnetic core surrounded by an antiferromagnetic shell. The simulations of hysteresis loops after cooling…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

We consider a recursive iterative algorithm for identification of parameters of the Preisach model, one of the most commonly used models of hysteretic input-output relationships. The classical identification algorithm due to Mayergoyz…

Chaotic Dynamics · Physics 2015-03-09 D. Rachinskii , M. Ruderman

The implementation of a tuning fork sensor in a scanning force microscope operational at 300 mK is described and the harmonic oscillator model of the sensor is motivated. These sensors exhibit very high quality factors at low temperatures.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Ihn , T. Vancura , A. Baumgartner , P. Studerus , K. Ensslin

We propose a homotopy sampling procedure, loosely based on importance sampling. Starting from a known probability distribution, the homotopy procedure generates the unknown normalization of a target distribution. In the context of…

Computation · Statistics 2021-05-05 Juan M. Restrepo , Jorge M. Ramirez

Microwave background temperature and polarization observations are a powerful way to constrain cosmological parameters if the likelihood function can be calculated accurately. The temperature and polarization fields are correlated, partial…

Astrophysics · Physics 2012-04-25 Samira Hamimeche , Antony Lewis

Hysteresis dynamics has been described in a vast number of biological experimental studies. Many such studies are phenomenological and a mathematical appreciation has not attracted enough attention. In the paper, we explore the nature of…

Adaptation and Self-Organizing Systems · Physics 2021-03-02 Liang Chen , Sue Ann Campbell