# Dissipation-Time Uncertainty Relation.

@article{Falasco2020DissipationTimeUR, title={Dissipation-Time Uncertainty Relation.}, author={Gianmaria Falasco and Massimiliano Esposito}, journal={Physical review letters}, year={2020}, volume={125 12}, pages={ 120604 } }

We show that the entropy production rate bounds the rate at which physical processes can be performed in stochastic systems far from equilibrium. In particular, we prove the fundamental tradeoff ⟨S[over ˙]_{e}⟩T≥k_{B} between the entropy flow ⟨S[over ˙]_{e}⟩ into the reservoirs and the mean time T to complete any process whose time-reversed is exponentially rarer. This dissipation-time uncertainty relation is a novel form of speed limit: the smaller the dissipation, the larger the time to…

## 35 Citations

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## References

SHOWING 1-10 OF 54 REFERENCES

### “A and B”:

- PhysicsSophonisba Breckinridge
- 2019

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

### Transient chaos: the origin of transport in driven systems

- Physics
- 1996

In open Hamiltonian systems transport is governed by chaotic saddles which are low-dimensional if a single-particle description can be used. We show that in systems where the motion of the particle…

### Thermodynamic uncertainty relations constrain non-equilibrium fluctuations

- PhysicsNature Physics
- 2019

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…

### Special volume in memory of Ilya Prigogine

- Physics
- 2007

This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. This stand-alone special topics volume reports recent…

### Theoretical models for superionic conductors

- Physics
- 1980

Abstract The present theoretical understanding of various properties of superionic conductors is reviewed. Emphasis is put on their treatment as classical many-particle systems and on the analysis of…

### Fokker-Planck Equation

- Physics
- 1984

As shown in Sects. 3.1, 2 we can immediately obtain expectation values for processes described by the linear Langevin equations (3.1, 31). For nonlinear Langevin equations (3.67, 110) expectation…

### The thermodynamic uncertainty relation in biochemical oscillations

- PhysicsJournal of the Royal Society Interface
- 2019

This paper shows that computational models of real biochemical clocks severely underperform this optimum, with fluctuations several orders of magnitude larger than the theoretical minimum, and introduces a new model with a tunable number of internal states per molecule that approaches the optimal precision as this number increases.

### Negative differential response in chemical reactions

- BiologyNew Journal of Physics
- 2019

It is argued that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation, and an analogous behavior is found in dissipative self-assembly, for which the optimal working conditions set by NDR are identified.