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We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with…

Statistical Mechanics · Physics 2019-09-04 P. Zhou , X. Dong , C. Stambaugh , H. B. Chan

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel

We study the fluctuations of the power variation of fractional Brownian motion in Brownian time

Probability · Mathematics 2015-09-17 Raghid Zeineddine

Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision…

Statistical Mechanics · Physics 2017-03-29 Juan P. Garrahan

This study investigates the dynamics of a magnetic pendulum under time-varying magnetic excitation with a position-dependent phase. The system exhibits complex chaotic and regular dynamics, validated through simulations and experiments. The…

Chaotic Dynamics · Physics 2025-01-03 Krystian Polczyński , Maksymilian Bednarek , Jan Awrejcewicz

We consider sample to sample fluctuations of the waiting time between the detection of two consecutive electrons in quasi-one-dimensional disordered conductors at zero temperature. We compute the full distribution of the mean waiting time…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Ferdinand Schulz , Mathias Albert

We measure the full distribution of current fluctuations in a single-electron transistor with a controllable bistability. The conductance switches randomly between two levels due to the tunneling of single electrons in a separate…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. Singh , J. T. Peltonen , I. M. Khaymovich , J. V. Koski , C. Flindt , J. P. Pekola

We establish a novel generalization of the fluctuation theorem for partially-masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production…

Statistical Mechanics · Physics 2015-01-20 Naoto Shiraishi , Takahiro Sagawa

The one-sided power spectrum of the fluctuation of Chebyshev's weighted prime counting function is numerically estimated based on samples of the fluctuating function of different sizes. The power spectrum is also estimated analytically for…

General Mathematics · Mathematics 2009-11-11 Boon Leong Lan , Shaohen Yong

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

Statistical Mechanics · Physics 2015-06-25 David Andrieux , Pierre Gaspard

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

Statistical Mechanics · Physics 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

Possible existence of chaotic oscillations in ion dynamics in the sheath and pre-sheath regions of a dusty plasma, induced by externally driven dust-charge fluctuation, is presented in this work. In a complex plasma, dust charge fluctuation…

Plasma Physics · Physics 2024-02-29 Mridusmita Das , Suniti Changmai , Madhurjya P. Bora

We derive a universal bound on generalized currents in Langevin systems in terms of the mean-square fluctuations of the current and the total entropy production. This bound generalizes a relation previously found by Barato et al. to…

Statistical Mechanics · Physics 2018-06-29 Andreas Dechant , Shin-ichi Sasa

The ensemble averaged power scattered in and out of lossless chaotic cavities decays as a power law in time for large times. In the case of a pulse with a finite duration, the power scattered from a single realization of a cavity closely…

Statistical Mechanics · Physics 2009-11-13 James A. Hart , Thomas M. Antonsen , Edward Ott , Stephen M. Anlage

We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H van Schuppen , Chenghui Zhang

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

Fluid Dynamics · Physics 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong…

Statistical Mechanics · Physics 2023-07-21 Mustansir Barma

We report measurements of global dissipated power within a turbulent flow homogeneously forced at small scale by a new forcing technique. The forcing is random in both time and space within the fluid by using magnetic particles in an…

Fluid Dynamics · Physics 2017-10-31 Eric Falcon , Jean-Claude Bacri , Claude Laroche

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
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