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In this paper we investigate the power fluctuations in a driven, dampted pendulum. When the motion of the pendulum is chaotic, the average power supplied by the driving force is equal to the average dissipated power only for an infinite…

Chaotic Dynamics · Physics 2007-05-23 Yadin Y. Goldschmidt

We study from a statistical physics perspective the dynamics of a bouncing ball maintained in a chaotic regime thanks to collisions with a plate experiencing an aperiodic vibration. We analyze in details the energy exchanges between the…

Statistical Mechanics · Physics 2017-02-02 Jean-Yonnel Chastaing , Jean-Christophe Géminard , Eric Bertin

The Fluctuation Relation for a stationary state, kept at constant energy by a deterministic thermostat - the Gallavotti-Cohen Theorem -- relies on the ergodic properties of the system considered. We show that when perturbed by an…

Statistical Mechanics · Physics 2009-11-11 Jorge Kurchan

We study the statistics of the power flux into a collection of inelastic beads maintained in a fluidized steady-state by external mechanical driving. The power shows large fluctuations, including frequent large negative fluctuations, about…

Soft Condensed Matter · Physics 2007-05-23 Klebert Feitosa , Narayanan Menon

A driven granular material, e.g. a vibrated box full of sand, is a stationary system which may be very far from equilibrium. The standard equilibrium statistical mechanics is therefore inadequate to describe fluctuations in such a system.…

Statistical Mechanics · Physics 2009-08-12 A. Barrat , A. Puglisi , E. Trizac , P. Visco , F. van Wijland

A method of random forcing with a constant power input for two-dimensional gyrokinetic turbulence simulations is developed for the study of stationary plasma turbulence. The property that the forcing term injects the energy at a constant…

Plasma Physics · Physics 2021-03-29 Ryusuke Numata

The Gallavotti-Cohen fluctuation theorem suggests a general symmetry in the fluctuations of the entropy production, a basic concept in the theory of irreversible processes, based on results in the theory of strongly chaotic maps. We study…

Statistical Mechanics · Physics 2015-05-26 Christian Maes , Frank Redig , Michel Verschuere

Our interest goes to the power injected in a heated granular gas and to the possibility to interpret it in terms of entropy flow. We numerically determine the distribution of the injected power by means of Monte-Carlo simulations. Then, we…

Statistical Mechanics · Physics 2007-05-23 P. Visco , A. Puglisi , A. Barrat , E. Trizac , F. van Wijland

We study the fluctuation-induced, time-dependent force between two plates immersed in a fluid driven out of equilibrium mechanically by harmonic vibrations of one of the plates. Considering a simple Langevin dynamics for the fluid, we…

Statistical Mechanics · Physics 2009-12-22 Andreas Hanke

We study the instantaneous and local energy injection in a turbulent shear flow driven by volume forces. The energy injection can be both positive and negative. Extremal events are related to coherent streaks. The probability distribution…

Chaotic Dynamics · Physics 2015-06-26 Joerg Schumacher , Bruno Eckhardt

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

Statistical Mechanics · Physics 2009-05-06 Claudio Falcón , Eric Falcon

We test the fluctuation theorem from measurements in turbulent flows. We study the time fluctuations of the force acting on an obstacle, and we consider two experimental situations: the case of a von K\'arm\'an swirling flow between…

Chaotic Dynamics · Physics 2009-11-10 S. Ciliberto , N. Garnier , S. Hernandez , C. Lacpatia J. -F. Pinton , G. Ruiz Chavarria

A granular gas may be modeled as a set of hard-spheres undergoing inelastic collisions; its microscopic dynamics is thus strongly irreversible. As pointed out in several experimental works bearing on turbulent flows or granular materials,…

Statistical Mechanics · Physics 2009-09-29 P. Visco , A. Puglisi , A. Barrat , E. Trizac , F. van Wijland

We describe an experiment dedicated to the study of the trajectories of a ball bouncing randomly on a vibrating plate. The system was originally used, considering a sinusoidal vibration, to illustrate period doubling and the route to chaos.…

Statistical Mechanics · Physics 2015-12-18 Jean-Yonnel Chastaing , Eric Bertin , Jean-Christophe Géminard

A stochastic model is derived to predict the turbulent torque produced by a swirling flow. It is a simple Langevin process, with a colored noise. Using the unified colored noise approximation, we derive analytically the PDF of the…

Fluid Dynamics · Physics 2009-11-13 Nicolas Leprovost , Louis Marié , Bérengère Dubrulle

Understanding force generation in non-equilibrium systems is a significant challenge in statistical physics. We uncover a surprising fluctuation-induced force between two plates immersed in homogeneous isotropic turbulence using Direct…

Fluid Dynamics · Physics 2018-11-20 Vamsi Spandan , Daniel Putt , Rodolfo Ostilla-Mónico , Alpha Albert Lee

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

Statistical Mechanics · Physics 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as iso-kinetic and Nos\'e-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average…

Statistical Mechanics · Physics 2009-08-29 T. Gilbert , J. R. Dorfman

We theoretically studied the optimal control, frequency lock-in, and phase lock-in phenomena due to the spatially localized periodic forcing in the flow past the inclined plate. Although frequency lock-in is evident in many fluid phenomena,…

Fluid Dynamics · Physics 2023-11-03 Makoto Iima

Common ground to recent studies exploiting relations between dynamical systems and non-equilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied on the level of space-time histories. The assumptions (chaoticity…

Mathematical Physics · Physics 2015-06-26 Christian Maes
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