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In natural settings, intermittent dynamics are ubiquitous and often arise from a coupling between external driving and spatial heterogeneities. A well-known example is the generation of transient, turbulent puffs of fluid through a pipe…

Adaptation and Self-Organizing Systems · Physics 2020-07-01 Guram Gogia , Wentao Yu , Justin C. Burton

Turbulence is one of the most frequently encountered non-equilibrium phenomena in nature yet characterising the transition that gives rise to it has remained an elusive task. Although in recent studies critical points marking the onset of…

Fluid Dynamics · Physics 2015-10-19 Liang Shi , Gregoire Lemoult , Kerstin Avila , Shreyas Jalikop , Marc Avila , Björn Hof

We study oscillation death (OD) in a well-known coupled-oscillator system that has been used to model cardiovascular phenomena. We derive exact analytic conditions that allow the prediction of OD through the two known bifurcation routes, in…

Adaptation and Self-Organizing Systems · Physics 2012-08-08 J. J. Suarez-Vargas , J. A. Gonzalez , A. Stefanovska , P. V. E. McClintock

We study the dynamical response of a two-dimensional Ising model subject to a square-wave oscillating external field. In contrast to earlier studies, the system evolves under a so-called soft Glauber dynamic [P.A. Rikvold and M. Kolesik, J.…

Statistical Mechanics · Physics 2008-11-14 Gloria M. Buendia , Per Arne Rikvold

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

The effect of time-delayed coupling on the collective behavior of a population of globally coupled complex Ginzburg-Landau (GCCGL) oscillators is investigated. A detailed numerical study is carried out to study the impact of time delay on…

Adaptation and Self-Organizing Systems · Physics 2019-05-22 Bhumika Thakur , Abhijit Sen

Nonlinear dynamical systems such as coupled oscillators are being actively investigated as Ising machines for solving computationally hard problems in combinatorial optimization. Prior works have established the equivalence between the…

Dynamical Systems · Mathematics 2023-01-19 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Systems of oscillators subject to time-dependent noise typically achieve synchronization for long times when their mutual coupling is sufficiently strong. The dynamical process whereby synchronization is reached can be thought of as a…

Statistical Mechanics · Physics 2024-11-11 Ricardo Gutierrez , Rodolfo Cuerno

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

Quasi-stationary far-from-equilibrium critical states of a two-component Bose gas are studied in two spatial dimensions. After the system has undergone an initial dynamical instability it approaches a non-thermal fixed point. At this…

Quantum Gases · Physics 2013-12-16 Markus Karl , Boris Nowak , Thomas Gasenzer

As originally formulated, the Generalized Alignment Index (GALI) method of chaos detection has so far been applied to distinguish quasiperiodic from chaotic motion in conservative nonlinear dynamical systems. In this paper we extend its…

Chaotic Dynamics · Physics 2013-10-17 T. Manos , Ch. Skokos , Ch. Antonopoulos

The dynamical system for inertial particles in fluid flow has both attracting and repelling regions, the interplay of which can localize particles. In laminar flow experiments we find that particles, initially moving throughout the fluid…

Fluid Dynamics · Physics 2014-07-10 Steven Wang , Robert L. Stewart , Guy Metcalfe , Jie Wu

The global energy fluctuations of a low density gas granular gas in the homogeneous cooling state near its clustering instability are studied by means of molecular dynamics simulations. The relative dispersion of the fluctuations is shown…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. I. Garcia de Soria , P. Maynar , M. J. Ruiz-Montero

This is a brief survey of recent experimental studies on out-of-equilibrium scaling laws, focusing on two prominent situations where non-trivial universality classes have been identified theoretically: absorbing-state phase transitions and…

Statistical Mechanics · Physics 2014-01-27 Kazumasa A. Takeuchi

Turbulent concentric coaxial pipe flows are numerically investigated as canonical problem addressing spanwise curvature effects on heat and momentum transfer that are encountered in various engineering applications. It is demonstrated that…

Fluid Dynamics · Physics 2026-02-04 Marten Klein , Pei-Yun Tsai , Heiko Schmidt

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

Modal linear stability analysis has proven very successful in the analysis of coherent structures of turbulent flows. Formally, it describes the evolution of a disturbance in the limit of infinite time. In this work we apply modal linear…

Fluid Dynamics · Physics 2016-05-03 Lothar Rukes , Moritz Sieber , Oliver Paschereit , Kilian Oberleithner

A universal theory of linear instabilities in swirling flows, occurring in both natural settings and industrial applications, is formulated. The theory encompasses a wide range of open and confined flows, including spiral isothermal flows…

Fluid Dynamics · Physics 2025-02-06 Oleg N. Kirillov , Innocent Mutabazi

We revisit the mean field model of globally and harmonically coupled parametric oscillators subject to periodic block pulses with initially random phases. The phase diagram of regions of collective parametric instability is presented, as is…

Statistical Mechanics · Physics 2009-11-07 I. Bena , R. Kawai , C. Van den Broeck , M. Copelli , K. Lindenberg

We report an optical fiber experiment in which we study nonlinear stage of modulational instability of a plane wave in the presence of a localized perturbation. Using a recirculating fiber loop as experimental platform, we show that the…

Pattern Formation and Solitons · Physics 2019-02-13 Adrien E. Kraych , Pierre Suret , Gennady El , Stephane Randoux
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