Dissipation-Time Uncertainty Relation.

  title={Dissipation-Time Uncertainty Relation.},
  author={Gianmaria Falasco and Massimiliano Esposito},
  journal={Physical review letters},
  volume={125 12},
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… 

Figures from this paper

Dissipation bounds the amplification of transition rates far from equilibrium

Stochastic thermodynamics is employed to build a framework which can be used to gain mechanistic insight into transitions far from equilibrium, and shows that under general conditions, there is a basic speed limit relating the typical excess heat dissipated throughout a transition and the rate amplification achievable.

Thermodynamic uncertainty relation for systems with unidirectional transitions

We derive a thermodynamic uncertainty relation (TUR) for systems with unidirectional transitions. The uncertainty relation involves a mixture of thermodynamic and dynamic terms. Namely, the entropy

Entropy of sharp restart

This paper presents a comprehensive analysis that quantifies how sharp restart—a keystone restart protocol—impacts the Shannon entropy of the completion time through an information-geometric approach based on Kullback–Leibler distances.

Verification of Information Thermodynamics in a Trapped Ion System

Information thermodynamics has developed rapidly over past years, and the trapped ions, as a controllable quantum system, have demonstrated feasibility to experimentally verify the theoretical

Stochastic thermodynamics and fluctuation theorems for non-linear systems

We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distribution. We show that if

Optimizing dynamical functions for speed with stochastic paths

Living systems are built from microscopic components that function dynamically; they generate work with molecular motors, assemble and disassemble structures such as microtubules, keep time with

Dynamic scaling of stochastic thermodynamic observables for chemical reactions at and away from equilibrium.

Physical kinetic roughening processes are well-known to exhibit universal scaling of observables that fluctuate in space and time. Are there analogous dynamic scaling laws that are unique to the

Thermodynamic limits of sperm swimming precision

Sperm swimming is crucial to fertilise the egg, in nature and in assisted reproductive tech-nologies. Modelling the sperm dynamics involves elasticity, hydrodynamics, internal active forces, and

Comparison of Extended Irreversible Thermodynamics with thermodynamics based on a distribution containing the first-passage time.

An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter and Extended Irreversible Thermodynamics

Comparison of extended irreversible thermodynamics and nonequilibrium statistical operator method with thermodynamics based on a distribution containing the first-passage time

An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter, nonequilibrium statistical operator



“A and B”:

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.

A Guide to First‐passage Processes

Transient chaos: the origin of transport in driven systems

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

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

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

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

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

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

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.