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The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

Statistical Mechanics · Physics 2022-06-30 Cillian Cockrell , Ian J Ford

Evaluating the role of perturbations versus the intrinsic coherent dynamics in driving to equilibrium is of fundamental interest to understand quantum many-body thermalization, in the quest to build ever complex quantum devices. Here we…

A recently introduced model of coupled non linear oscillators in a ring is revisited in terms of its information processing capabilities. The use of Lempel-Ziv based entropic measures allows to study thoroughly the complex patterns…

Chaotic Dynamics · Physics 2018-03-20 E. Estevez-Rams , D. Estevez-Moya , B. Aragon Fernandez

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

Pattern Formation and Solitons · Physics 2015-01-06 Agnessa Kovaleva

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Arion Pons , Tsevi Beatus

We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

Statistical Mechanics · Physics 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

We consider a population of globally coupled oscillators in which phase shifts in the coupling are random. We show that in the maximally disordered case, where the pairwise shifts are i.i.d. random variables, the dynamics of a large…

Adaptation and Self-Organizing Systems · Physics 2024-07-19 Lev A. Smirnov , Arkady Pikovsky

For noisy self-sustained oscillators, both reliability, stability of a response to a noisy driving, and coherence understood in the sense of constancy of oscillation frequency belong to the main characteristics. Though the both…

Statistical Mechanics · Physics 2010-07-27 Denis S. Goldobin

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

Neurons and Cognition · Quantitative Biology 2007-05-23 Osame Kinouchi , Mauro Copelli

A harmonic oscillator linearly coupled with a linear chain of Ising spins is investigated. The $N$ spins in the chain interact with their nearest neighbours with a coupling constant proportional to the oscillator position and to $N^{-1/2}$,…

Statistical Mechanics · Physics 2010-06-22 A. Prados , L. L. Bonilla , A. Carpio

We develop a technique to compute the high-frequency asymptotics of spin correlators in weakly interacting disordered spin systems. We show that the dynamical spin correlator decreases exponentially at high frequencies, $<…

Disordered Systems and Neural Networks · Physics 2015-06-03 Lara Faoro , Lev Ioffe , Alexei Kitaev

Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities…

Statistical Mechanics · Physics 2009-10-31 A. F. Rozenfeld , C. J. Tessone , E. Albano , H. S. Wio

Nonlinear phononics has emerged as a powerful paradigm for the nonthermal control of quantum materials by engineering a conservative potential energy landscape. Here, we show that dissipation can serve as an additional control knob for…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Brayan I. Eraso-Solarte , Yafei Ren

We study the effects of coupling between layers of stochastic neural field models with laminar structure. In particular, we focus on how the propagation of waves of neural activity in each layer is affected by the coupling. Synaptic…

Pattern Formation and Solitons · Physics 2015-06-17 Zachary P. Kilpatrick

We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

Previous works have shown numerically that the response of a ``stochastic resonator'' is enhanced as a consequence of spatial coupling. Also, similar results have been obtained in a reaction-diffusion model by studying the phenomenon of…

Statistical Mechanics · Physics 2009-11-07 H. S. Wio , S. Bouzat , B. von Haeften

Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are one of the leading platforms for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the…

An electron-phonon system at commensurate filling often displays charge order (CO) in the ground state. Such a system subject to a laser pulse shows a wide variety of behaviour. A weak pulse sets up low amplitude oscillations in the order…

Strongly Correlated Electrons · Physics 2024-09-10 Sankha Subhra Bakshi , Debraj Bose , Arijit Dutta , Pinaki Majumdar

Activation processes govern noise-induced switching between long-lived states. In an equilibrium double well, the thermally activated switching rate exhibits a prefactor with a nonmonotonic dependence on environmental coupling, a…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Daniel K. J. Boneß , Gabriel Margiani , Wolfgang Belzig , Alexander Eichler , Oded Zilberberg

We study the dynamics of the entanglement between two oscillators that are initially prepared in a general two-mode Gaussian state and evolve while coupled to the same environment. In a previous paper we showed that there are three…

Quantum Physics · Physics 2009-11-13 Juan Pablo Paz , Augusto J. Roncaglia