Quantitative analysis of non-equilibrium systems from short-time experimental data

Abstract

We provide a minimal strategy for the quantitative analysis of a large class of non-equilibrium systems in a {statistically} steady state using the short-time Thermodynamic Uncertainty Relation (TUR). From short-time trajectory data obtained from experiments, we demonstrate how we can simultaneously infer quantitatively, both the thermodynamic force field acting on the system, as well as the (potentially exact) rate of entropy production. We benchmark this scheme first for an experimental study of a colloidal particle system where exact analytical results are known, before applying it to the case of a colloidal particle in a hydrodynamical flow field, where neither analytical nor numerical results are available. In this latter case, we build an effective model of the system based on our results. In both cases, we also demonstrate that our results match with those obtained from another recently introduced scheme [Phys. Rev. X 10, 021009].

19 pages, 14 figures, Revised version including comparison with SFI technique introduced in [Phys. Rev. X 10, 021009]

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• Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
• Enhanced directionality of active processes in a viscoelastic bath
• Inferring entropy production in anharmonic Brownian gyrators
• Inference from gated first-passage times
• Estimating entropy production in a stochastic system with odd-parity variables
• Variance sum rule: proofs and solvable models
• Experimental verification of Arcsine laws in mesoscopic non-equilibrium and active systems
• Estimate of entropy generation rate can spatiotemporally resolve the active nature of cell flickering
• Entropy bound for time reversal markers
• Random walks on modular chains: Detecting structure through statistics
• Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
• Force-free kinetic inference of entropy production
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Irreversibility of mesoscopic processes with hydrodynamic interactions
• Short-time dynamics in phase-ordering kinetics