Stochastic thermodynamics of a probe in a fluctuating correlated field

Venturelli, Davide; Loos, Sarah A. M.; Walter, Benjamin; Roldán, Édgar; Gambassi, Andrea

doi:10.1209/0295-5075/ad3469

Cited by 3 publications

(9 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Knowledge of forces can lead to good estimates of σ [49], but an experimental challenge is sampling stochastic trajectories with a fast enough rate of 1/dt. Indeed, a slow sampling rate could bias the estimate of the Stratonovich integration in (22), making it less appealing than the other formulas involving instantaneous averages, which do not depend on the sampling rate. For example, a numerical simulation of the Brownian vortex model of section 5 shows that the precision of the VSR in predicting σ is higher than using (22).…”

Section: Discussionmentioning

confidence: 99%

“…We can also check that this expression matches σ from the stochastic energetics equation (22), (42) where between the last two lines we used that ⟨x 2 t ⟩ is constant and that ⟨θ t • ξ t ⟩ = 0.…”

Section: Stochastic Switching Trapmentioning

confidence: 95%

“…) ij and D satisfies one of the two conditions (i) and (ii) listed at the beginning of this section. To our knowledge, ( 25) is a novel result, connecting σ in (22) with the time asymmetry of the position-force correlation functions. This formula is the intermediate step in the derivation of our main results, continued hereafter.…”

Section: Entropy Productionmentioning

confidence: 98%

“…Here, we use that correlation functions involving y i t are equal to those involving x i t up to a constant scaling linearly with time. With (24) we rewrite (22) as…”

Section: Entropy Productionmentioning

confidence: 99%

“…For example, it determines the efficiency of energy transduction [5][6][7][8] and the breakdown of detailed balance in cells [9][10][11][12][13]. For this reason, the study of entropy production is an active and prolific field in stochastic thermodynamics [14][15][16][17][18][19][20][21][22][23][24][25] and active matter [26][27][28][29][30][31][32]. Thanks to technological advancements, it is possible to access microscopic systems where fluctuations are relevant [31,[33][34][35], but entropy production remains difficult to measure.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Variance sum rule: proofs and solvable models

Di Terlizzi,

Baiesi,

Ritort

2024

New J. Phys.

View full text Add to dashboard Cite

We derive, in more general conditions, a recently introduced variance sum rule (VSR) [I. Di Terlizzi et al., 2024 Science 383, 971] involving variances of displacement and force impulse for overdamped Langevin systems in a nonequilibrium steady state (NESS). This formula allows visualising the effect of nonequilibrium as a deviation of the sum of variances from normal diffusion 2Dt, with D the diffusion constant and t the time. From the VSR, we also derive formulas for the entropy production rate σ that, differently from previous results, involve second-order time derivatives of position correlation functions. This novel feature gives a criterion for discriminating strong nonequilibrium regimes without measuring forces. We then apply and discuss our results to three analytically solved models: a stochastic switching trap, a Brownian vortex, and a Brownian gyrator. Finally, we compare the advantages and limitations of known and novel formulas for σ in an overdamped NESS.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Stochastic Switching Trapmentioning

confidence: 95%

Section: Entropy Productionmentioning

confidence: 98%

“…Here, we use that correlation functions involving y i t are equal to those involving x i t up to a constant scaling linearly with time. With (24) we rewrite (22) as…”

Section: Entropy Productionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Variance sum rule: proofs and solvable models

Di Terlizzi,

Baiesi,

Ritort

2024

New J. Phys.

View full text Add to dashboard Cite

show abstract

Forces from coarse-graining non-equilibrium degrees of freedom: exact results

Santra,

Krüger

2024

J. Stat. Mech.

View full text Add to dashboard Cite

We explore the relaxation dynamics of a tracer in a harmonic trap coupled to a non-equilibrium bath particle in a stationary state, finding qualitative differences from the well-known equilibrium case. This can be attributed to an additional position- and time-dependent force acting on the tracer, emerging when averaging the bath degree in the non-equilibrium stationary state conditioned to a certain tracer position. Specifically, we provide analytical results for an overdamped tracer coupled linearly to a bath particle in different non-equilibrium scenarios; namely, subjected to a different temperature than the tracer or to active noise with Gaussian or non-Gaussian fluctuations. For the case of varying temperatures, the conditioned tracer–bath force can be as large in magnitude as the force from the trapping potential. For an active bath particle with memory, even the bath noise takes a finite average under conditioning of the tracer. Furthermore, if the noise of the bath particle is non-Gaussian, the relaxation function of the tracer can be non-monotonic as a function of time. We also compute the pinned relaxation, proposing that measurement and comparison of conditioned and pinned relaxation allows determination of the non-equilibrium forces in experiments.

show abstract

Theoretical limits of energy extraction in active fluids

Shadkhoo,

Thomson

2024

Phys. Rev. Research

View full text Add to dashboard Cite

Active materials form a class of far-from-equilibrium systems that are driven internally and exhibit self-organization, which can be harnessed to perform mechanical work. Inspired by experiments on synthetic active polymer networks, in this paper we examine limits of work extraction from an active viscoelastic medium by analyzing the transport of a particle. The active viscoelastic material possesses an equilibrium density where the active and passive forces are balanced out. In a one-dimensional system, a gliding activation front (AF), which converts a passive to an active medium, provides active energy at a constant rate, which is injected into the system at one end and propagates to the other. We demonstrate that there exists a maximum velocity of the AF, above which the activated region fails to deliver the transport power. We hypothesize and intuitively argue based on the limit cases that the feasibility and the velocity of transport of the particle can be interpreted in terms of the velocity of an equilibration domain wall of the field, which is set by two parameters: (i) a measure of activity, and (ii) the viscoelastic timescale. The phase diagram is divided into “transport” and “no-transport” sectors, namely, for any pair of the two parameters, there exists a threshold velocity of the AF above which the particle transport becomes impossible. Constructing the phase diagram we find that (1) there are regions of the phase diagram for which the threshold velocity of the AF diverges, and (2) larger viscoelastic timescale makes the transport region more accessible and also increases the transport velocity therein. Furthermore, we find that increasing the velocity of AF, results in larger extracted power but smaller transport coefficient; defined as the ratio of the transport velocity and that of the AF. Our model provides a framework for understanding the energetics of transport phenomena in biology and designing efficient mechanisms of transport in synthetic active materials. Published by the American Physical Society 2024

show abstract

Stochastic thermodynamics of a probe in a fluctuating correlated field

Cited by 3 publications

References 72 publications

Variance sum rule: proofs and solvable models

Variance sum rule: proofs and solvable models

Forces from coarse-graining non-equilibrium degrees of freedom: exact results

Theoretical limits of energy extraction in active fluids

Contact Info

Product

Resources

About