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A number of improvements have been added to the existing analytical model of hysteresis loop defined in parametric form. In particular, three phase shifts are included in the model, which permits to tilt the hysteresis loop smoothly by the…

Optimization and Control · Mathematics 2020-06-11 Rostislav V. Lapshin

In order to understand the physical hysteresis loops clearly, we constructed a novel model, which is combined with the electric field, the temperature, and the stress as one synthetically parameter. This model revealed the shape of…

Materials Science · Physics 2017-07-31 Zhi Ma , Yanan Ma , Fu Zheng , Hua Gao , Hongfei Liu , Huanming Chen

This article presents an approach for modelling hysteresis in piezoelectric materials, that leverages recent advancements in machine learning, particularly in sparse-regression techniques. While sparse regression has previously been used to…

Machine Learning · Computer Science 2023-05-23 Abhishek Chandra , Bram Daniels , Mitrofan Curti , Koen Tiels , Elena A. Lomonova , Daniel M. Tartakovsky

Recently introduced model of magnetic hysteresis was extended into set of the following features: frequency, pick of induction and temperature of specimen. Group theoretical classification of hysteresis loops' sets is presented. An effect…

General Physics · Physics 2015-10-23 Krzysztof Z. Sokalski

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

Condensed Matter · Physics 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

Description of domains switching processes in crystalline ferroelectrics by means of relaxation type equations with account of variable external electric field is proposed. Exact solution of these equations in closed analytical form at…

Materials Science · Physics 2014-07-04 A. Yu. Zakharov , M. I. Bichurin

Rheological characterization of complex fluids subjected to cyclic shear-rate sweep often exhibits hysteresis. Since both viscoelastic and thixotropic materials show hysteresis loops, it is important to understand distinguishing features…

Soft Condensed Matter · Physics 2022-11-23 Shweta Sharma , V. Shankar , Yogesh M. Joshi

A new mathematical model of hysteresis loop has been derived. Model consists in an extansion of tanh($\cdot$) by extanding the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with…

Materials Science · Physics 2023-07-19 Krzysztof Z. Sokalski

We present a model in which metastable supercooled phase and stable equilibrium phase of vortex matter coexist in different regions of a sample. Minor hysteresis loops are calculated with the simple assumption of the two phases of vortex…

Superconductivity · Physics 2009-10-31 P. Chaddah , M. Manekar

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on small systems and weak field amplitudes…

Materials Science · Physics 2009-10-30 S. W. Sides , P. A. Rikvold , M. A. Novotny

Phase diagrams and hysteresis loops were obtained by Monte Carlo simulations and a mean-field method for a simplified model of a spin-crossover material with a two-step transition between the high-spin and low-spin states. This model is a…

Materials Science · Physics 2016-03-01 P. A. Rikvold , G. Brown , S. Miyashita , C. Omand , M. Nishino

The hysteresis of the Ising model in a spatially homogeneous AC field is studied using both mean-field calculations and two-dimensional Monte Carlo simulations. The frequency dispersion and the temperature dependence of the hysteresis loop…

Materials Science · Physics 2009-11-10 Han Zhu , Shuai Dong , J. -M. Liu

Experiments on ferromagnetic thin films have measured the dependence of the hysteresis loop area on the amplitude and frequency of the external field, $A$=$A(H_{0},\omega)$, and approximate agreement with numerical simulations of Ising…

Materials Science · Physics 2009-10-30 S. W. Sides , P. A. Rikvold , M. A. Novotny

The methods of the probability theory have been used in order to build up a new model of hysteresis. It turns out that the reversal points of the control parameter (e. g., the magnetic field) are Markov points which determine the stochastic…

Statistical Mechanics · Physics 2009-10-31 L. Pal

We have proposed the phenomenological description of dielectric hysteresis loops in ferroelectric semiconductors with charged defects and prevailing extrinsic conductivity. Exactly we have modified Landau-Ginsburg approach and shown that…

Materials Science · Physics 2009-11-10 Anna N. Morozovska , Eugene A. Eliseev

Materials with spin-crossover (SCO) properties hold great potentials in information storage and therefore have received a lot of concerns in the recent decades. The hysteresis phenomena accompanying SCO is attributed to the intermolecular…

Chemical Physics · Physics 2022-10-11 Hong-zhou Ye , Chong Sun , Hong Jiang

Minor hysteresis loops within the main loop are obtained analytically and exactly in the one-dimensional ferromagnetic random field Ising-model at zero temperature. Numerical simulations of the model show excellent agreement with the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Prabodh Shukla

We present a formalism for computing the complexity of metastable states and the zero-temperature magnetic hysteresis loop in the soft-spin random-field model in finite dimensions. The complexity is obtained as the Legendre transform of the…

Disordered Systems and Neural Networks · Physics 2015-05-20 M. L. Rosinberg , G. Tarjus

Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on large systems and strong field…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna
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