Work needed to drive a thermodynamic system between two distributions

Zhang, Yunxin

doi:10.1209/0295-5075/128/30002

Cited by 25 publications

(35 citation statements)

References 29 publications

(63 reference statements)

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“…Angle brackets • • • Λ denote a nonequilibrium ensemble average over the control-parameter protocol Λ. Here we hold fixed the initial (λ i ) and final (λ f ) control parameters, consistent with nonequilibrium free-energy estimation [7,8,10,11,[20][21][22][23][24][25][26][27][28][29] but distinct from optimizations that constrain the initial and final probability distributions [13,30].…”

mentioning

confidence: 99%

Steps minimize dissipation in rapidly driven stochastic systems

Blaber,

Louwerse,

Sivak

2021

Preprint

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Micro-and nano-scale systems driven by rapid changes in control parameters (control protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that minimize dissipation at fixed duration are universally given by a two-step process, jumping to and from a point that balances jump size with fast relaxation. Jump protocols could be exploited by molecular machines or thermodynamic computing to improve energetic efficiency, and implemented in nonequilibrium free-energy estimation to improve accuracy.

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confidence: 99%

Steps minimize dissipation in rapidly driven stochastic systems

Blaber,

Louwerse,

Sivak

2021

Preprint

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“…References [5,19] used a backward process, in which the work distribution can be used to estimate the partition function through Crook's fluctuation theorem [6]. Despite such important advances, however, adopting Langevin dynamics still has a convergence problem: The variance of the estimator remains even if the system is controlled with the optimal protocol unless the distributions of the initial and final states are identical [20,21]. To overcome such inevitable variance, the authors in Ref.…”

Section: Introductionmentioning

confidence: 99%

Accelerated Jarzynski Estimator with Deterministic Virtual Trajectories

Ishida,

Hasegawa

2021

Preprint

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The Jarzynski estimator is a powerful tool that uses nonequilibrium statistical physics to numerically obtain partition functions of probability distributions. The estimator reconstructs partition functions with trajectories of simulated Langevin dynamics through the Jarzynski equality. However, the original estimator suffers from its slow convergence because it depends on rare trajectories of stochastic dynamics. In this paper we present a method to significantly accelerate the convergence by introducing deterministic virtual trajectories generated in augmented state space under Hamiltonian dynamics. We theoretically show that our approach achieves second-order acceleration compared to a naive estimator with Langevin dynamics and zero variance estimation on harmonic potentials. Moreover, we conduct numerical experiments on three multimodal distributions where the proposed method outperforms the conventional method, and provide theoretical explanations.

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“…In these approaches, one or two control parameters are engineered such that the equilibrium is reached in a chosen short time, using processes which are not necessarily heat-exchange-free nor isothermal. A beneficial feature of these methods lies in the multiplicity of admissible protocols, which allows to select those with desirable properties, in terms of robustness or optimality [2,16,17].…”

Section: Introductionmentioning

confidence: 99%

Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity

Bayati,

Trizac

2021

Preprint

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While compressing a colloidal state by optical means alone has been previously achieved through a specific time-dependence of the trap stiffness, realizing quickly the reverse transformation stumbles upon the necessity of a transiently expulsive trap. To circumvent this difficulty, we propose to drive the colloids by a combination of optical trapping and diffusiophoretic forces, both time-dependent. Forcing via diffusiophoresis is enforced by controlling the salt concentration at the boundary of the domain where the colloids are confined. The method takes advantage of the separation of time scales between salt and colloidal dynamics, and realizes a fast decompression in an optical trap that remains confining at all times. We thereby obtain a so-called shortcut to adiabaticity protocol where colloidal dynamics, enslaved to salt dynamics, can nevertheless be controlled as desired.

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Work needed to drive a thermodynamic system between two distributions

Cited by 25 publications

References 29 publications

Steps minimize dissipation in rapidly driven stochastic systems

Steps minimize dissipation in rapidly driven stochastic systems

Accelerated Jarzynski Estimator with Deterministic Virtual Trajectories

Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity

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