Thermodynamic uncertainty relations constrain non-equilibrium fluctuations

@article{Horowitz2019ThermodynamicUR,
  title={Thermodynamic uncertainty relations constrain non-equilibrium fluctuations},
  author={Jordan M. Horowitz and Todd R. Gingrich},
  journal={Nature Physics},
  year={2019},
  volume={16},
  pages={15-20}
}
In equilibrium thermodynamics, there exists a well-established connection between dynamical fluctuations of a physical system and the dissipation of its energy into an environment. However, few similarly quantitative tools are available for the description of physical systems out of equilibrium. Here, we offer our perspective on the recent development of a new class of inequalities known as thermodynamic uncertainty relations, which have revealed that dissipation constrains current fluctuations… Expand

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References

SHOWING 1-10 OF 63 REFERENCES
Unified Thermodynamic Uncertainty Relations in Linear Response.
TLDR
This work uses linear response theory to deriveThermodynamic uncertainty relations (TURs) in a straightforward and unified way and finds that, for broken time reversal, the bounds on the relative uncertainty are controlled both by dissipation and by a parameter encoding the asymmetry of the Onsager matrix. Expand
Thermodynamic bounds on equilibrium fluctuations of a global or local order parameter
We analyze thermodynamic bounds on equilibrium fluctuations of an order parameter, which are analogous to relations, which have been derived recently in the context of non-equilibrium fluctuations ofExpand
Kinetic uncertainty relation
TLDR
The approach is based on the recent fluctuation response inequality by Dechant and Sasa and can be applied to generic Markov jump systems, which describe a wide class of phenomena and observables, including the irreversible predator-prey dynamics that is used as an illustration. Expand
Finite-time generalization of the thermodynamic uncertainty relation.
TLDR
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. Expand
Multidimensional thermodynamic uncertainty relations
We extend a class of recently derived thermodynamic uncertainty relations to vector-valued observables. In contrast to the scalar-valued observables examined previously, this multidimensionalExpand
Universal Thermodynamic Bounds on Nonequilibrium Response with Biochemical Applications
TLDR
A collection of equalities and inequalities valid arbitrarily far from equilibrium that constrain the response ofNonequilibrium steady states in terms of the strength of nonequilibrium driving are derived. Expand
Proof of the finite-time thermodynamic uncertainty relation for steady-state currents.
TLDR
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. Expand
A generalization of the thermodynamic uncertainty relation to periodically driven systems
The thermodynamic uncertainty relation expresses a universal trade-off between precision and entropy production, which applies in its original formulation to current observables in steady-stateExpand
Thermodynamic uncertainty relations including measurement and feedback.
TLDR
Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation and show that any fluctuation relation directly implies a thermodynamic uncertainty relation, considerably increasing their range of applicability. Expand
A unifying picture of generalized thermodynamic uncertainty relations.
The thermodynamic uncertainty relation is a universal trade-off relation connecting the precision of a current with the average dissipation at large times. For continuous time Markov chains (alsoExpand
...
1
2
3
4
5
...