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We explore theoretically the physics of dynamic hysteresis for driven-dissipative nonlinear photonic resonators. In the regime where the semiclassical mean-field theory predicts bistability, the exact steady-state density matrix is known to…

量子物理 · 物理学 2016-03-14 W. Casteels , F. Storme , A. Le Boité , C. Ciuti

The position of an interface (domain wall) in a medium with random pinning defects is not determined unambiguously by a current value of the driving force even in average. Based on general theory of the interface motion in a random medium…

无序系统与神经网络 · 物理学 2009-11-10 Thomas Nattermann , Valery Pokrovsky

Dynamic hysteresis, the rate-dependent lagged response of materials to external fields, underpins applications from energy-efficient transformers to gas storage systems. A fundamental yet unresolved question is how the hysteresis loop area…

统计力学 · 物理学 2026-03-26 Yachao Sun , Xuesong Li , Yanting Wang , Jing Zhou , Haiyang Bai , Yuliang Jin

We experimentally explore the dynamic optical hysteresis of a semiconductor microcavity as a function of the sweep time. The hysteresis area exhibits a double power law decay due to the shot noise of the driving laser, which triggers…

We report a surprising hysteretic behavior in the dynamics of a simple one-dimensional nonlinear model inspired by the tribological problem of two sliding surfaces with a thin solid lubricant layer in between. In particular, we consider the…

材料科学 · 物理学 2012-10-29 Andrea Vanossi , Giuseppe E. Santoro , Nicola Manini , Marco Cesaratto , Erio Tosatti

We study a discrete non-autonomous system whose autonomous counterpart (with the frozen bifurcation parameter) admits a saddle-node bifurcation, and in which the bifurcation parameter slowly changes in time and is characterized by a sweep…

数值分析 · 数学 2023-11-14 Jay Chu , Jun-Jie Lin , Je-Chiang Tsai

Hysteresis, with rich dynamical behaviors-especially in interacting systems-has drawn broad research interest. Yet its dynamic scalings across time scales lack a unified description, and their transitions remain unclear. Here, we study the…

统计力学 · 物理学 2026-05-19 Miao Chen , Xiu-Hua Zhao , Yu-Han Ma

We investigate the properties of hysteresis cycles produced by a one-dimensional, periodically forced Langevin equation. We show that depending on amplitude and frequency of the forcing and on noise intensity, there are three qualitatively…

动力系统 · 数学 2007-05-23 Nils Berglund , Barbara Gentz

Hysteresis, the lag between the force and the response, is often associated with noisy, jerky motion which have recently been called ``avalanches''. The interesting question is why the avalanches come in such a variety of sizes: naively one…

统计力学 · 物理学 2008-02-03 James P. Sethna , Olga Perkovic , Karin A. Dahmen

Slowing down phenomena occur in both deterministic and stochastic dynamical systems at the vicinity of phase transitions or bifurcations. An example is found in systems exhibiting a saddle-node bifurcation, which undergo a dramatic time…

动力系统 · 数学 2022-02-25 J. Tomás Lázaro , Tomás Alarcón , Carlos Peña , Josep Sardanyés

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 · 物理学 2007-05-23 N. Berglund , H. Kunz

The problem of transient hysteresis cycles induced by the pre-sliding kinetic friction is relevant for analyzing the system dynamics e.g. of micro- and nano-positioning instruments and devices and their controlled operation. The associated…

系统与控制 · 电气工程与系统科学 2023-10-03 Michael Ruderman

Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the discontinuity: should it be given by a limiting value on one…

动力系统 · 数学 2016-10-27 Carles Bonet-Reves , Tere M. Seara , Enric Fossas , Mike R. Jeffrey

Dissipative phase transitions are characteristic features in open quantum systems. Key signatures are the dynamical switching between different states in the vicinity of the phase transition and the appearance of hysteresis. Here, we…

量子气体 · 物理学 2024-07-03 Marvin Röhrle , Jens Benary , Erik Bernhart , Herwig Ott

When an interacting many-body system, such as a magnet, is driven in time by an external perturbation, such as a magnetic field,the system cannot respond instantaneously due to relaxational delay. The response of such a system under a…

统计力学 · 物理学 2009-10-31 Bikas K Chakrabarti , Muktish Acharyya

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

软凝聚态物质 · 物理学 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

材料科学 · 物理学 2015-06-11 Lasse Laurson , Mikko J. Alava

We present evidence of the hysteretic nature of dissipation in unsteady turbulent flows. Wind tunnel experiments and direct numerical simulations in oscillating flows show that, at fixed mean Reynolds number, the dissipation constant is…

流体动力学 · 物理学 2025-10-28 M. Ahmad , P. D. Mininni , M. Obligado , J. A. Farnsworth

The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimensional model. Nonlinear phenomena that emerge include dynamic…

材料科学 · 物理学 2009-11-11 S. Goncalves , C. Fusco , A. Bishop , V. M. Kenkre

In this paper we describe the solution of a stochastic bistable system from a dynamical perspective. We show how a single framework with variable noise can explain hysteresis at zero temperature and two-state coexistence in the presence of…

统计力学 · 物理学 2019-11-25 Mahendra K. Verma , Abhishek Kumar , Adhip Pattanayak
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