Thermal bath engineering for swift equilibration

Chupeau, Marie; Besga, Benjamin; Guéry-Odelin, David; Trizac, Emmanuel; Petrosyan, Artyom; Ciliberto, S.

doi:10.1103/physreve.98.010104

Cited by 42 publications

(47 citation statements)

References 51 publications

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“…A Brownian particle is here confined in a harmonic potential, the stiffness of which can be changed in time as desired. In addition, the thermal bath is allowed to have a time-dependent temperature T. As surprising as this situation might appear, the latter T-control is achievable in the laboratory with, for instance, optically confined colloids [45,46]. Trap stiffness and temperature are the two driving functions, that need in general to be carefully shaped to meet the desired goal: reaching the target state at the end of a chosen time t f .…”

Section: Resultsmentioning

confidence: 99%

“…We thereby expect to overcome the limitations brought to the fore here, such as the non-existence of the underlying ansatz (which may become un-normalizable) and the odd shape of the stiffness. A first evidence of such an experimental achievement is presented in [46] where an effective modulation of the bath temperature allowed to perform a quick decompression without having to resort to a transiently negative stiffness. Our work also opens interesting perspectives for transformations including transport.…”

Section: Resultsmentioning

confidence: 99%

“…It is worth emphasizing here that the bath temperature can be time dependent. In the colloidal realm for example, this is achieved by an appropriate random shaking of the confinement potential [45,46], which creates an effective temperature for the Brownian object while the true bath temperature remains constant.…”

Section: General Formalismmentioning

confidence: 99%

“…In an ESE approach, as highlighted above, we choose the dynamics of some of the parameters of the particle density function (here among a , b  and d  , or combinations of them) and deduce from them the required temporal evolution of the control parameters: here k  (and possibly also the bath temperature [46]), that can be controlled experimentally. The three relations (14) include five unknowns (a , b  , d  , k  and  T ).…”

Section: Simplified Formalismmentioning

confidence: 99%

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Engineered swift equilibration for Brownian objects: from underdamped to overdamped dynamics

et al. 2018

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We propose an enlarged framework to study transformations that drive an underdamped Brownian particle in contact with a thermal bath from an equilibrium state to a new one in an arbitrarily short time. To this end, we make use of a time and space-dependent potential, that plays a dual role: confine the particle, and manipulate the system. In the special case of an isothermal compression or decompression of a harmonically trapped particle, we derive explicit protocols that perform this quick transformation, following an inverse engineering method. We focus on the properties of these protocols, which crucially depend on two key dimensionless numbers that characterize the relative values of the three timescales of the problem, associated with friction, oscillations in the confinement and duration of the protocol. In particular, we show that our protocols encompass the known overdamped version of this problem and extend it to any friction for decompression and to a large range of frictions for compression.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: General Formalismmentioning

confidence: 99%

Section: Simplified Formalismmentioning

confidence: 99%

See 2 more Smart Citations

Engineered swift equilibration for Brownian objects: from underdamped to overdamped dynamics

et al. 2018

Self Cite

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“…Recently, many experimental and theoretical perspectives, both in the classical and quantum regimes [1][2][3][4][5], have demonstrated the possibility to control the evolution of a small system while constraining a set of thermodynamic variables using appropriate protocols. For instance, recent work proposed protocols that can force a nano-or micro-system to evolve from one equilibrium state to another much faster than the relaxation time expected from the energy difference between the two equilibria [6][7][8]. From a mathematical viewpoint, this is an interesting optimal control problem, which can be studied using the Pontryagin's principle [9,10].…”

mentioning

confidence: 99%

Optimal protocols and universal time-energy bound in Brownian thermodynamics

Rosales-Cabara

Manfredi

Schnoering

et al. 2020

Phys. Rev. Research

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We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian particle in an optical trap under compression. Based on a variational principle that treats the transfer duration and the expended work on an equal footing, our strategy leads to a family of protocols that are either optimally cheap for a given duration or optimally fast for a given energetic cost. This approach unveils a universal relation ∆t ∆W ≥ (∆t ∆W ) opt between the transfer duration and the expended work. We verify experimentally that the lower bound is reached only with the optimized protocols.

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Tuning the performance of a micrometer-sized Stirling engine through reservoir engineering

et al. 2021

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Colloidal heat engines are paradigmatic models to understand the conversion of heat into work in a noisy environment - a domain where biological and synthetic nano/micro machines function. While the operation of these engines across thermal baths is well-understood, how they function across baths with noise statistics that is non-Gaussian and also lacks memory, the simplest departure from the thermal case, remains unclear. Here we quantified the performance of a colloidal Stirling engine operating between an engineered memoryless non-Gaussian bath and a Gaussian one. In the quasistatic limit, the non-Gaussian engine functioned like a thermal one as predicted by theory. On increasing the operating speed, due to the nature of noise statistics, the onset of irreversibility for the non-Gaussian engine preceded its thermal counterpart and thus shifted the operating speed at which power is maximum. The performance of nano/micro machines can be tuned by altering only the nature of reservoir noise statistics.

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Thermal bath engineering for swift equilibration

Cited by 42 publications

References 51 publications

Engineered swift equilibration for Brownian objects: from underdamped to overdamped dynamics

Engineered swift equilibration for Brownian objects: from underdamped to overdamped dynamics

Optimal protocols and universal time-energy bound in Brownian thermodynamics

Tuning the performance of a micrometer-sized Stirling engine through reservoir engineering

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