Thermodynamic uncertainty for run-and-tumble–type processes

Shreshtha, Mayank; Harris, Rosemary J.

doi:10.1209/0295-5075/126/40007

Cited by 19 publications

(12 citation statements)

References 56 publications

(89 reference statements)

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“…Most non-equilibrium systems actively sustain their dynamics by dissipating energy into their environment and by producing entropy, as observed in several branches of natural sciences [1][2][3][4][5][6][7][8][9][10][11][12]. Important examples are active oscillators, the effective mesoscopic degrees of freedom of which are described by oscillating variables.…”

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confidence: 99%

Modelling Active Non-Markovian Oscillations

Tucci¹,

Roldán²,

Gambassi³

et al. 2022

Preprint

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Modelling noisy oscillations of active systems is one of the current challenges in physics and biology. Because the physical mechanisms of such processes are often difficult to identify, we propose a linear stochastic model driven by a non-Markovian bistable noise that is capable of generating self-sustained periodic oscillation. We derive analytical predictions for most relevant dynamical and thermodynamic properties of the model. This minimal model turns out to describe accurately bistable-like oscillatory motion of hair bundles in bullfrog sacculus, extracted from experimental data. Based on and in agreement with these data, we estimate the power required to sustain such active oscillations to be of the order of one hundred kBT per oscillation cycle.

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confidence: 99%

Modelling Active Non-Markovian Oscillations

Tucci¹,

Roldán²,

Gambassi³

et al. 2022

Preprint

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“…It has been recognized that without any one of these assumptions the bound could be violated [11,[16][17][18][19]. To circumvent the violation, various generalizations and refinements have been developed, including discrete-time Markov chains [16], periodically driven systems [17,18], measurement and feedback control [19,20], active matter systems [21][22][23], and quantum Markovian dynamics [24]. In particular, fluctuation theorems are found to directly lead to a bound involving an exponentiated EP, called the generalized TUR (GTUR) [25][26][27].…”

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confidence: 99%

Thermodynamic Uncertainty Relation for Arbitrary Initial States

2020

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The thermodynamic uncertainty relation (TUR), which describes a trade-off relation between the timeintegrated current fluctuation and entropy production, was recently discovered as a fundamental principle of nonequilibrium thermodynamics. However, it requires either specific initial states or an infinitely long time, which severely limits its applications. Here we derive a finite-time TUR valid for arbitrary initial states from the Cramér-Rao inequality. We find that the variance of an accumulated current is bounded by the instantaneous current at the final time. Our bound thus suggests that "the boundary is constrained by the bulk". We apply our results to feedback-controlled processes and successfully explain a recent experiment which reports a violation of a modified TUR with feedback control.

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“…In finance, for example, one can calculate the Sharpe ratio, which gives a good estimate of the excess expected return of an investment given its volatility [35]. In stochastic thermodynamics, physicists have recently studied thermodynamic/kinetic uncertainty relations, which give bounds for a type of ratio observable [1,14,52]. In the same field, there are studies of fluctuations of the efficiency, defined as the ratio between the output work and the input heat, of small-scale engines working in an energetically unstable environment [19,47,48,56,57].…”

Section: Introductionmentioning

confidence: 99%

A Large Deviation Perspective on Ratio Observables in Reset Processes: Robustness of Rate Functions

Francesco

Harris

2020

J Stat Phys

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We study large deviations of a ratio observable in discrete-time reset processes. The ratio takes the form of a current divided by the number of reset steps and as such it is not extensive in time. A large deviation rate function can be derived for this observable via contraction from the joint probability density function of current and number of reset steps. The ratio rate function is differentiable and we argue that its qualitative shape is 'robust', i.e. it is generic for reset processes regardless of whether they have short-or long-range correlations. We discuss similarities and differences with the rate function of the efficiency in stochastic thermodynamics.

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Thermodynamic uncertainty for run-and-tumble–type processes

Cited by 19 publications

References 56 publications

Modelling Active Non-Markovian Oscillations

Modelling Active Non-Markovian Oscillations

Thermodynamic Uncertainty Relation for Arbitrary Initial States

A Large Deviation Perspective on Ratio Observables in Reset Processes: Robustness of Rate Functions

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