Inferring Entropy Production from Short Experiments.

@article{Manikandan2019InferringEP,
  title={Inferring Entropy Production from Short Experiments.},
  author={Sreekanth K. Manikandan and Deepak Gupta and Supriya Krishnamurthy},
  journal={Physical review letters},
  year={2019},
  volume={124 12},
  pages={
          120603
        }
}
We provide a strategy for the exact inference of the average as well as the fluctuations of the entropy production in nonequilibrium systems in the steady state, from the measurements of arbitrary current fluctuations. Our results are built upon the finite-time generalization of the thermodynamic uncertainty relation, and require only very short time series data from experiments. We illustrate our results with exact and numerical solutions for two colloidal heat engines. 
View on PubMed
link.aps.org
65 Citations
Background Citations
15
Methods Citations
3

Figures from this paper

65 Citations

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

Estimating entropy production directly from experimental trajectories is of great current interest but often requires a large amount of data or knowledge of the underlying dynamics. In this paper, we…

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

Estimating entropy production directly from experimental trajectories is of great current interest but often requires a large amount of data or knowledge of the underlying dynamics. In this paper, we…

Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump

We introduce a model for a periodically driven electron pump that sequentially interacts with an arbitrary number of heat and particle reservoirs. Exact expressions for the thermodynamic fluxes, such…

Thermodynamic Uncertainty Relation for Time-Dependent Driving.

Thermodynamic uncertainty relations derive their general form for systems under arbitrary time-dependent driving from arbitrary initial states and extend these relations beyond currents to state variables and the quality of the bound is discussed for various types of observables.

Inferring entropy production in anharmonic Brownian gyrators

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data.…

Fluctuations of entropy production of a run-and-tumble particle.

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of nonequilibrium conditions. In small-scale dissipative systems subject to thermal noise,…

A thermodynamic uncertainty relation for a system with memory

We introduce an example of thermodynamic uncertainty relation (TUR) for systems modeled by a generalised Langevin dynamics with memory, determining the motion of a micro-bead driven in a complex…

Entropy production estimation with optimal current.

By proving the saturation of the thermodynamic uncertainty relation in the short-time limit, the exact estimate of the entropy production can be obtained for overdamped Langevin systems, irrespective of the underlying dynamics.

Quality of the thermodynamic uncertainty relation for fast and slow driving

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current…

Estimating entropy production rates with first-passage processes

  • I. Neri
  • Mathematics
    Journal of Physics A: Mathematical and Theoretical
  • 2022
We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single current. For…
...

References

SHOWING 1-10 OF 60 REFERENCES

Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences.

  • G. Crooks
  • Economics, Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1999
A generalized version of the fluctuation theorem is derived for stochastic, microscopically reversible dynamics and this generalized theorem provides a succinct proof of the nonequilibrium work relation.

Finite-time generalization of the thermodynamic uncertainty relation.

It is shown that this relation holds not only for the long-time limit of fluctuations, as described by large deviation theory, but also for fluctuations on arbitrary finite time scales, which facilitates applying the thermodynamic uncertainty relation to single molecule experiments, for which infinite time scales are not accessible.

Hyperaccurate currents in stochastic thermodynamics.

It is shown that the hyperaccurate current coincides with the entropy production if and only if the latter saturates the thermodynamic uncertainty relation, and it can be substantially more precise otherwise.

Langevin Equation and Thermodynamics

We introduce a framework of energetics into the stochastic dynamics described by Langevin equation in which fluctuation force obeys the Einstein relation. The energy con­ servation holds in the…

Proof of the finite-time thermodynamic uncertainty relation for steady-state currents.

This work proves a recently conjectured finite-time thermodynamic uncertainty relation for steady-state current fluctuations based on a quadratic bound to the large deviation rate function for currents in the limit of a large ensemble of many copies.

Entropy production estimation with optimal current.

By proving the saturation of the thermodynamic uncertainty relation in the short-time limit, the exact estimate of the entropy production can be obtained for overdamped Langevin systems, irrespective of the underlying dynamics.

Probability of second law violations in shearing steady states.

An expression for the probability of fluctuations in the shear stress of a fluid in a nonequilibrium steady state far from equilibrium is given and a formula for the ratio that, for a finite time, theShear stress reverse sign is violating the second law of thermodynamics.

From Stochastic Thermodynamics to Thermodynamic Inference

  • U. Seifert
  • Physics
    Annual Review of Condensed Matter Physics
  • 2019
For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in particular, entropy production can be identified on the level of fluctuating dynamical trajectories. Within…

Fluctuations and Irreversible Process. II. Systems with Kinetic Energy

The results of the previous paper are extended to second-order systems, i.e., systems with inertia. Using a generalized definition of the thermodynamic forces, reciprocal relations for the…

Ensemble dependence of the transient fluctuation theorem

The fluctuation theorem gives an analytical expression for the probability of observing second law violating dynamical fluctuations in nonequilibrium systems. At equilibrium, statistical mechanical…
...