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Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In…

Dynamical Systems · Mathematics 2020-11-19 Fayçal Ikhouane , Víctor Mañosa , Gisela Pujol

Self-oscillations are the result of an efficient mechanism generating periodic motion from a constant power source. In quantum devices, these oscillations may arise due to the interaction between single electron dynamics and mechanical…

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

Sudden and abrupt changes can occur in a nonlinear system within many fields of science when such a system crosses a tipping point and rapid changes of the system occur in response to slow changes in an external forcing. These can occur…

Dynamical Systems · Mathematics 2025-09-05 Paul D. L. Ritchie , Robbin Bastiaansen , Anna S. von der Heydt , Peter Ashwin

Understanding the non-deterministic behavior of deterministic nonlinear systems has been an implicit dream since Lorenz named it the "butterfly effect". A prominent example is the hysteresis and bistability of the Duffing oscillator, which…

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

Chemical, physical and ecological systems passing through a saddle-node bifurcation will, momentarily, find themselves balanced at a semi-stable steady state. If perturbed by noise, such systems will escape from the zero-steady state, with…

Statistical Mechanics · Physics 2020-01-08 Alastair Jamieson-Lane , Eric N. Cytrynbaum

Via molecular dynamics simulations, we unveil the hysteretic nature of the jamming transition of soft repulsive frictionless spheres, as it occurs varying the volume fraction or the shear stress. In a given range of control parameters the…

Soft Condensed Matter · Physics 2015-05-13 Massimo Pica Ciamarra , Antonio Coniglio

Two dynamical models that have been proposed to describe transitions between low and high confinement states (L-H transitions) in confined plasmas are analysed using singularity theory and stability theory. It is shown that the…

Mathematical Physics · Physics 2009-10-31 R. Ball , R. L. Dewar

The magnetic relaxation and hysteresis of a system of single domain particles with dipolar interactions are studied by Monte Carlo simulations. We model the system by a chain of Heisenberg classical spins with randomly oriented easy-axis…

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

\emph{Probabilistic hysteresis} is a manifestation of irreversibility in a small, isolated classical system [Sci. Rep. 9, 14169]: after a slow cyclic sweep of a control parameter, the probability that a microcanonical ensemble returns to…

Quantum Physics · Physics 2020-11-18 Ralf Bürkle , James R. Anglin

We study minimum-energy pathways (MEPs) between the branches of metastable helical structures in chiral nematic liquid crystals (CNLCs)subjected to the electric field applied across the cell. By performing stability analysis we have found…

Soft Condensed Matter · Physics 2020-11-05 Semen S. Tenishchev , Ivan M. Tambovtcev , Alexei D. Kiselev , Valery M. Uzdin

In the current work we revisit the pair-potential recently proposed by Wang et al. (Phys. Chem. Chem. Phys. 10624, 22, 2020) as a well defined finite-range alternative to the widely used Lennard-Jones interaction model. The advantage of…

Materials Science · Physics 2024-07-23 Omar-Farouk Adesida , Sebastian Havens , Livia B. Partay

We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified…

Statistical Mechanics · Physics 2017-05-03 Johannes Falk , Marc Mendler , Barbara Drossel

We study the onset of intrinsic bistability and accompanying hysteresis in a single quantum point contact (QPC) with in-plane side gates in the presence of lateral spin-orbit coupling. The hysteresis in the conductance versus common gate…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 J. Charles , M. Cahay , R. S. Newrock

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

We consider three mechanisms of hysteresis phenomena in alternating magnetic field: the domain wall motion in a random medium, the nucleation and the retardation of magnetization due to slow (critical) fluctuations. We construct…

Materials Science · Physics 2009-10-31 Igor F. Lyuksyutov , Thomas Nattermann , Valery Pokrovsky

We address the stabilization of both classical and quantum systems modeled by jump-diffusion stochastic differential equations using a novel hysteresis switching strategy. Unlike traditional methods that depend on global Lyapunov functions…

Optimization and Control · Mathematics 2025-07-22 Weichao Liang , Gaoyue Guo

Hysteresis is studied in a disordered Ising model in which diffusion of antiferromagnetic bonds is allowed in addition to spin flips. Saturation behavior changes to a figure-eight loop when diffusion is introduced. The upper and lower…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Capeta , D. K. Sunko

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…

Statistical Mechanics · Physics 2026-05-19 Miao Chen , Xiu-Hua Zhao , Yu-Han Ma