Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state

Abstract

A modified fluctuation-dissipation-theorem (MFDT) for a non-equilibrium steady state (NESS) is experimentally checked by studying the position fluctuations of a colloidal particle whose motion is confined in a toroidal optical trap. The NESS is generated by means of a rotating laser beam which exerts on the particle a sinusoidal conservative force plus a constant non-conservative one. The MFDT is shown to be perfectly verified by the experimental data. It can be interpreted as an equilibrium-like fluctuation-dissipation relation in the Lagrangian frame of the mean local velocity of the particle.

4 pages

References in corpus (22)

• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Ageing Properties of Critical Systems
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• Precise Particle Tracking Against a Complicated Background: Polynomial Fitting with Gaussian Weight
• Fluctuation-dissipation ratio of a spin glass in the aging regime
• The Einstein relation generalized to non-equilibrium
• Giant Colloidal Diffusivity on Corrugated Optical Vortices
• Fluctuation-Dissipation-Theorem violation during the formation of a colloidal-glass
• Fluctuation relations in simple examples of non-equilibrium steady states
• Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential
• Characterizing Potentials by a Generalized Boltzmann Factor
• Violation of the fluctuation-dissipation theorem in a protein system
• Experimental study of out of equilibrium fluctuations in a colloidal suspension of Laponite using optical traps
• Fluctuation-Dissipation Ratio for Compacting Granular Media
• Probing Nonequilibrium Fluctuations through Linear Response
• Relaxation of a Colloidal Particle into a Nonequilibrium Steady State
• Off equilibrium fluctuations in a polymer glass

Cited by in corpus (81)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• On the heat flux and entropy produced by thermal fluctuations
• Stochastic thermodynamics of single enzymes and molecular motors
• Non-equilibrium and information: the role of cross-correlations
• Thermodynamics of genuine non-equilibrium states under feedback control
• Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
• Statistical mechanics of a chiral active fluid
• Work fluctuations and Jarzynski equality in stochastic resetting
• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Current large deviations for driven periodic diffusions
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Stochastic thermodynamics of active Brownian particles
• Nonequilibrium Linear Response for Markov Dynamics, II: Inertial Dynamics
• Fluctuation-dissipation relations far from equilibrium
• The fluctuation-dissipation relation: how does one compare correlation functions and responses?
• Active Brownian particles: Entropy production and fluctuation-response
• Statistical properties of the energy exchanged between two heat baths coupled by thermal fluctuations
• Thermodynamic formula for the cumulant generating function of time-averaged current
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Potential and Flux Decomposition for Dynamical Systems and Non-Equilibrium Thermodynamics: Curvature, Gauge Field and Generalized Fluctuation-Dissipation Theorem
• Universal thermodynamic bounds on nonequilibrium response with biochemical applications
• Probing active forces via a fluctuation-dissipation relation: Application to living cells
• Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
• Interacting Brownian dynamics in a nonequilibrium particle bath
• Experimental Accessibility of Generalized Fluctuation-Dissipation Relations for Nonequilibrium Steady States
• Work statistics in stochastically driven systems
• Nonequilibrium fluctuation-dissipation theorem and heat production
• On the Fluctuation-Dissipation Relation in non-equilibrium and non-Hamiltonian systems
• Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
• Effective fluctuation and response theory
• Eulerian and Lagrangian pictures of non-equilibrium diffusions
• Mapping between dissipative and Hamiltonian systems
• Transient fluctuation relations for time-dependent particle transport
• A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements
• Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems
• Fluctuation-dissipation relations for spiking neurons
• Thermodynamic Magnon Recoil for Domain Wall Motion
• Approach to equilibrium and non-equilibrium stationary distributions of interacting many-particle systems that are coupled to different heat baths
• Fluctuations and response in a non-equilibrium micron-sized system
• Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath
• Anisotropic Mobility Model for Polymers under Shear and its Linear Response Functions
• Driven probe under harmonic confinement in a colloidal bath
• Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
• Dependence of the fluctuation-dissipation temperature on the choice of observable
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Fluctuation-dissipation theorem for non-equilibrium quantum systems
• Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
• Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
• A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
• Time reversals of irreversible quantum maps
• Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states
• Interacting particles in a periodically moving potential: Traveling wave and transport
• Heterogeneity-induced large deviations in activity and (in some cases) entropy production
• Zon-Cohen singularity and negative inverse temperature in a trapped particle limit
• Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
• Thermodynamic formalism and linear response theory for non-equilibrium steady states
• Energetics of critical oscillators in active bacterial baths
• Optical Tweezers: A Comprehensive Tutorial from Calibration to Applications
• Geometric Universality of Currents
• Mobility and Diffusion of a Tagged Particle in a Driven Colloidal Suspension
• Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions
• Violation of generalized fluctuation theorems in adaptively driven steady states: Applications to hair cell oscillations
• Efficiency of Free Energy Transduction in Autonomous Systems
• Symmetric exclusion processes on a ring with moving defects
• Linear response of hydrodynamically-coupled particles under a nonequilibrium reservoir
• Transition path time over a barrier of a colloidal particle in a viscoelastic bath
• A handy fluctuation-dissipation relation to approach generic noisy systems and chaotic dynamics
• Simultaneous and accurate measurement of the dielectric constant at many frequencies spanning a wide range
• Current reversal in interacting colloids under time-periodic drive
• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• Phase transition oscillations induced by a strongly focused laser beam
• Extreme value statistics of work done in stretching a polymer in a gradient flow
• Finite sampling effects on generalized fluctuation-dissipation relations for steady states
• Relaxation to steady states of a binary liquid mixture around an optically heated colloid
• Fluctuation-dissipation relations far from equilibrium
• Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the Chemical Langevin Equation
• On the transient Fluctuation Dissipation Theorem after a quench at a critical point
• Divergent stiffness of one-dimensional growing interfaces
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit