The Einstein relation generalized to non-equilibrium

Abstract

The Einstein relation connecting the diffusion constant and the mobility is violated beyond the linear response regime. For a colloidal particle driven along a periodic potential imposed by laser traps, we test the recent theoretical generalization of the Einstein relation to the non-equilibrium regime which involves an integral over measurable velocity correlation functions.

References in corpus (14)

• A nonequilibrium equality for free energy differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Path ensembles averages in systems driven far-from-equilibrium
• Steady State Thermodynamics of Langevin Systems
• The Nonequilibrium Thermodynamics of Small Systems
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• An experimental test of the Jarzynski equality in a mechanical experiment
• Giant Colloidal Diffusivity on Corrugated Optical Vortices
• Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential
• Surmounting Barriers: The Benefit of Hydrodynamic Interactions

Cited by in corpus (87)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Stochastic thermodynamics: Principles and perspectives
• Fluctuations and response of nonequilibrium states
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• Hot Brownian Motion
• Influence of Noise on Force Measurements
• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
• Thermodynamics of genuine non-equilibrium states under feedback control
• Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
• Current large deviations for driven periodic diffusions
• Fluctuation relations in simple examples of non-equilibrium steady states
• Stochastic thermodynamics of active Brownian particles
• Force measurement in the presence of Brownian noise: Equilibrium distribution method vs. Drift method
• Brownian Motion of Boomerang Colloidal Particles
• Nonequilibrium Linear Response for Markov Dynamics, II: Inertial Dynamics
• Large deviation function for entropy production in driven one-dimensional systems
• Active Brownian particles: Entropy production and fluctuation-response
• Fluctuation-dissipation relations far from equilibrium
• Thermodynamic formula for the cumulant generating function of time-averaged current
• Diffusion coefficient of a Brownian particle in equilibrium and nonequilibrium: Einstein model and beyond
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Frenetic aspects of second order response
• Probing active forces via a fluctuation-dissipation relation: Application to living cells
• Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
• Experimental Accessibility of Generalized Fluctuation-Dissipation Relations for Nonequilibrium Steady States
• Waiting for rare entropic fluctuations
• Work statistics in stochastically driven systems
• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear
• The modified Sutherland--Einstein relation for diffusive nonequilibria
• Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
• Eulerian and Lagrangian pictures of non-equilibrium diffusions
• The modified Langevin description for probes in a nonlinear medium
• Colloidal particles driven across periodic optical potential energy landscapes
• Limits of Predictions in Thermodynamic Systems: A Review
• Generalized Einstein or Green-Kubo relations for active biomolecular transport
• Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems
• Subdiffusion in an external force field
• Response of active Brownian particles to shear flow
• Fluctuations and response in a non-equilibrium micron-sized system
• Anisotropic Mobility Model for Polymers under Shear and its Linear Response Functions
• Frequency-dependent fluctuation-dissipation relations in granular gases
• Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics
• Multiple dynamic transitions in nonequilibrium work fluctuations
• Kubo formulas for dispersion in heterogeneous periodic non-equilibrium systems
• Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
• Quantum response theory for nonequilibrium steady states
• Macroscopic Expression Connecting the Rate of Energy Dissipation and Violation of the Fluctuation-Response Relation
• Interacting particles in a periodically moving potential: Traveling wave and transport
• Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear
• Center of mass perturbation as a normalizable estimate of dynamic balance in gait: an application comparing typically developing children with spastic cerebral palsy
• Einstein relation and hydrodynamics of nonequilibrium mass transport processes
• Subharmonic oscillations in stochastic systems under periodic driving
• A fluctuation-response relation of many Brownian particles under non-equilibrium conditions
• Efficiency fluctuations in cyclic machines
• Zon-Cohen singularity and negative inverse temperature in a trapped particle limit
• Thermodynamic formalism and linear response theory for non-equilibrium steady states
• Polymer electrolytes in strong external electric fields: Modification of structure and dynamics
• Effective Confinement as Origin of the Equivalence of Kinetic Temperature and Fluctuation-Dissipation Ratio in a Dense Shear Driven Suspension
• Extrapolation to nonequilibrium from coarse grained response theory
• Measurement of second-order response without perturbation
• Mobility and Diffusion of a Tagged Particle in a Driven Colloidal Suspension
• Temperature of a Hamiltonian system given as the effective temperature of a non-equilibrium steady state Langevin thermostat
• Relaxation of a Colloidal Particle into a Nonequilibrium Steady State
• Absence of dissipation in trajectory ensembles biased by currents
• Non-equilibrium version of the Einstein relation
• When does an active bath behave as an equilibrium one?
• Optothermal pulling, trapping, and assembly of colloids using nanowire plasmons
• Brownian systems perturbed by mild shear: Comparing response relations
• Quantum duets working as autonomous thermal motors
• Current reversal in interacting colloids under time-periodic drive
• Transition path time over a barrier of a colloidal particle in a viscoelastic bath
• Response to a small external force and fluctuations of a passive particle in a one-dimensional diffusive environment
• Symmetric exclusion processes on a ring with moving defects
• Linear response of hydrodynamically-coupled particles under a nonequilibrium reservoir
• Extended Larché--Cahn framework for reactive Cahn--Hilliard multicomponent systems
• Structures of nonequilibrium fluctuations: dissipation and activity
• On the steady state probability distribution of nonequilibrium stochastic systems
• Finite sampling effects on generalized fluctuation-dissipation relations for steady states
• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Enhancing Mixing and Diffusion with Plastic Flow
• On the transient Fluctuation Dissipation Theorem after a quench at a critical point
• Intermediate scattering function of Brownian particles in a tilted cosine potential
• Divergent stiffness of one-dimensional growing interfaces