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Rare event simulation and estimation for systems in equilibrium are among the most challenging topics in molecular dynamics. As was shown by Jarzynski and others, nonequilibrium forcing can theoretically be used to obtain equilibrium rare…

Optimization and Control · Mathematics 2015-06-11 Carsten Hartmann , Christof Schütte

We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weakly non-linear approximations to problems whose linearized…

Mathematical Physics · Physics 2020-03-12 Stéphane Dartois , Oleg Evnin , Luca Lionni , Vincent Rivasseau , Guillaume Valette

Most of the turbulent flows appearing in nature (e.g. geophysical and astrophysical flows) are subjected to strong rotation and stratification. These effects break the symmetries of classical, homogenous isotropic turbulence. In doing so,…

Fluid Dynamics · Physics 2015-09-11 Corentin Herbert , Annick Pouquet , Raffaele Marino

In this work, we quantify the time scales and information flow associated with multiscale energy transfer in a weakly turbulent system. This is done through a greedy optimization algorithm which finds the maximum conditional-mutual…

Chaotic Dynamics · Physics 2026-01-13 Christopher W. Curtis , Erik M. Bollt

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

We model the dynamics of Jupiter's jets by averaging the dynamics of eddies, in a barotropic beta-plane model, and explicitly predicting the balance between Reynolds' stresses and dissipation, thus predicting the average velocity profile…

Fluid Dynamics · Physics 2018-10-29 E Woillez , F. Bouchet

Planetary turbulent flows are observed to self-organize into large scale structures such as zonal jets and coherent vortices. One of the simplest models of planetary turbulence is obtained by considering a barotropic flow on a beta-plane…

Atmospheric and Oceanic Physics · Physics 2014-02-13 Nikolaos A. Bakas , Petros J. Ioannou

Stochastic dynamical systems allow modelling of transitions induced by disturbances, in particular from an attracting equilibrium and crossing the stable manifold of a saddle. In the small-noise limit, the probability of such transitions is…

Statistical Mechanics · Physics 2025-09-05 Jiayao Shao , Tobias Grafke , Robert S. MacKay

Planetary turbulence is observed to self-organize into large-scale structures such as zonal jets and coherent vortices. One of the simplest models that retains the relevant dynamics of turbulent self-organization is a barotropic flow in a…

Atmospheric and Oceanic Physics · Physics 2015-01-22 Nikolaos A. Bakas , Petros J. Ioannou

A modelling methodology to reproduce the experimental measurements of a turbulent flow under the presence of symmetry is presented. The flow is a three-dimensional wake generated by an axisymmetric body. We show that the dynamics of the…

Fluid Dynamics · Physics 2023-07-19 G. Rigas , A. S. Morgans , R. D. Brackston , J. F. Morrison

We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic information through a tunable parameter. The results show…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou

We present a study of the intermittent properties of a shell model of turbulence with unprecedented statistics, about $\sim 10^7$ eddy turn over time, achieved thanks to an implementation on a large-scale parallel GPU factory. This allows…

The probability of rare and extreme events is an important quantity for design purposes. However, computing the probability of rare events can be expensive because only a few events, if any, can be observed. To this end, it is necessary to…

Computational Physics · Physics 2020-01-08 Malik Hassanaly , Venkat Raman

In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious. In line with Barkley's recent work about the…

Fluid Dynamics · Physics 2015-06-05 Paul Manneville

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase…

Statistical Mechanics · Physics 2024-04-08 Rubén Hurtado-Gutiérrez

In stochastic resonance, a periodically forced Brownian particle in a double-well potential jumps between minima at rare increments, the prediction of which poses a major theoretical challenge. Here, we use a path-integral method to find a…

Data Analysis, Statistics and Probability · Physics 2020-04-02 L. T. Giorgini , S. H. Lim , W. Moon , J. S. Wettlaufer

We find actual evidence, relying upon vorticity time series taken in a high Reynolds number atmospheric experiment, that to a very good approximation the surface boundary layer flow may be described, in a statistical sense and under certain…

Fluid Dynamics · Physics 2009-11-13 M. Kholmyansky , L. Moriconi , A. Tsinober

We investigate the application of artificial neural networks to stabilize proper orthogonal decomposition based reduced order models for quasi-stationary geophysical turbulent flows. An extreme learning machine concept is introduced for…

Fluid Dynamics · Physics 2018-05-09 Omer San , Romit Maulik

Automated Vehicle (AV) validation based on simulated testing requires unbiased evaluation and high efficiency. One effective solution is to increase the exposure to risky rare events while reweighting the probability measure. However,…

Machine Learning · Computer Science 2024-09-25 Yichun Ye , He Zhang , Ye Tian , Jian Sun , Karl Meinke