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We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle…

Statistical Mechanics · Physics 2017-07-18 Michael Joyce , Jules Morand , Pascal Viot

Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the propagation of uncertainties from input…

Classical Physics · Physics 2019-08-13 L. Angela Mihai , Danielle Fitt , Thomas E. Woolley , Alain Goriely

We propose a new mechanism for pattern formation based on the global alternation of two dynamics neither of which exhibits patterns. When driven by either one of the separate dynamics, the system goes to a spatially homogeneous state…

Statistical Mechanics · Physics 2009-11-07 J. Buceta , Katja Lindenberg , J. M. R. Parrondo

We study the stationary and nonstationary measurement of a classical force driving a mechanical oscillator coupled to an electromagnetic cavity under two-tone driving. For this purpose, we develop a theoretical framework based on the…

Quantum Physics · Physics 2020-11-26 D. N. Bernal-García , H. Vinck-Posada , M. J. Woolley

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

The present investigation deals with the dynamics of a two-degrees-of-freedom system which consists of a main linear oscillator and a strongly nonlinear absorber with small mass. The nonlinear oscillator has a softening hysteretic…

Chaotic Dynamics · Physics 2008-01-29 Denis Laxalde , Fabrice Thouverez , Jean-Jacques Sinou

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska

Subharmonic response is a well known phenomena in, e.g., deterministic nonlinear dynamical systems. We investigate the conditions under which such subharmonic oscillations can persist for a long time in open systems with stochastic dynamics…

Statistical Mechanics · Physics 2019-08-15 Lukas Oberreiter , Udo Seifert , Andre C. Barato

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions. We show that with increased interaction strength such…

Mathematical Physics · Physics 2022-05-17 Gérard Ben Arous , Yan V Fyodorov , Boris A Khoruzhenko

We show that the uniform motion of a homogeneous distribution of electric charge can be stable or unstable depending on its geometry. When the electrodynamic body is perturbed from a state of rest, it starts to perform fast oscillations,…

Classical Physics · Physics 2020-08-11 Álvaro G. López

We investigate the response to radio-frequency driving of an ultracold gas of attractively interacting fermions in a one-dimensional optical lattice. We study the system dynamics by monitoring the driving-induced population transfer to a…

Quantum Gases · Physics 2022-03-14 Johannes Kombe , Michael Köhl , Corinna Kollath , Jean-Sebastien Bernier

We consider the problem of the driven harmonic oscillator in the probability representation of quantum mechanics, where the oscillator states are described by fair nonnegative probability distributions of position measured in rotated and…

Quantum Physics · Physics 2012-04-04 Dmitry B. Lemeshevskiy , Vladimir I. Man'ko

We propose here a stochastic binary element whose transition rate depends on its state at a fixed interval in the past. With this delayed stochastic transition this is one of the simplest dynamical models under the influence of ``noise''…

Statistical Mechanics · Physics 2009-10-31 Toru Ohira , Yuzuru Sato

We present a study of the equilibration process of nonequilibrium systems by means of molecular dynamics simulation technique. The nonequilibrium conditions are achieved in systems by defining velocity components of the constituent atoms…

Statistical Mechanics · Physics 2015-10-30 A. Giri , Nilangshu K. Das , P. Barat

We analyze the quantum dynamics of the time-dependent elliptical billiard using the example of a certain breathing mode. A numerical method for the time-propagation of an arbitrary initial state is developed, based on a series of…

Quantum Physics · Physics 2013-11-06 F. Lenz , B. Liebchen , F. K. Diakonos , P. Schmelcher

We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new…

Analysis of PDEs · Mathematics 2007-05-23 Stephane Genieys , Vitaly Volpert , Pierre Auger

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

Statistical Mechanics · Physics 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

Biochemical oscillations are ubiquitous in nature and allow organisms to properly time their biological functions. In this paper, we consider minimal Markov state models of nonequilibrium biochemical networks that support oscillations. We…

Statistical Mechanics · Physics 2020-02-04 Clara del Junco , Suriyanarayanan Vaikuntanathan