Control of force through feedback in small driven systems

Dieterich, E.; Camunas-Soler, Joan; Ribezzi-Crivellari, Marco; Seifert, Udo; Ritort, Fèlix

doi:10.1103/physreve.94.012107

Cited by 15 publications

(10 citation statements)

References 32 publications

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“…In LOT the position of the trap is the default control parameter, whereas the molecular extension and the force are fluctuating quantities. However, using force feedback control [30] the position of the optical trap is actively rectified while force is kept constant. We performed experiments in LOT in the standard passive mode (ExtEns) and in the active feedback mode (ForceEns).…”

Section: Fluctuation Theoremmentioning

confidence: 99%

Experimental test of ensemble inequivalence and the fluctuation theorem in the force ensemble in DNA pulling experiments

2018

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We experimentally test the validity of the Crooks fluctuation theorem (CFT) in the force ensemble by pulling DNA hairpins, first with magnetic tweezers, next with optical tweezers using force feedback. The CFT holds when using the definition of work W f = − xdf , where x is the molecular extension and f is the force. In contrast, it does not hold when using the usual definition, appropriate for the constant extension ensemble, W x = f dx, showing the importance of the contribution of boundary terms to the full entropy production in a clear example of statistical ensemble inequivalence in small systems. We also evaluate the differences in the average dissipated work in the force ensemble as compared to the extension ensemble, highlighting ensemble inequivalence also at the level of molecular kinetics.

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Section: Fluctuation Theoremmentioning

confidence: 99%

Experimental test of ensemble inequivalence and the fluctuation theorem in the force ensemble in DNA pulling experiments

2018

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“…Without the pretension of being exhaustive, we can cite the snapping and unidirectional waves in elastic metamaterials [3,4], the mechanics of muscle contraction [5,6], the magnetic, optical, and structural bistability in spin-crossover nanocrystals [7,8], the information processing in biochemical reactions [9,10], the protein folding-unfolding processes [11][12][13][14], the DNA overstretching and denaturation [15][16][17][18], and the physics of force-spectroscopy experiments on macromolecules [19][20][21]. This last example is particularly important since force-spectroscopy experiments, conceived to measure the force-extension relation of a single macromolecule, were able for the first time to directly test the thermodynamics and the statistical mechanics of small systems [22,23]. In particular, devices like atomic-force microscopes, laser optical tweezers, magnetic tweezers and micro-electro-mechanical systems [24][25][26][27][28][29] have been employed to investigate proteins [30][31][32], RNA [33,34], and DNA [35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Isotensional and isometric force-extension response of chains with bistable units and Ising interactions

Benedito

Giordano

2018

Phys. Rev. E

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The combination of bistability and cooperativity plays a crucial role in several biological and artificial micro-and nano-systems. In particular, the exhaustive understanding of the mechanical response of such systems under the effect of thermal fluctuations is essential to elucidate a rich variety of phenomena. Here, a linear chain composed of elastic units, which are bistable (folded or unfolded) and coupled through an Ising-like interaction, is selected as a case study. We assess the macroscopic thermoelastic response of this chain in terms of its microscopic description. For small systems, far from the thermodynamic limit, this response depends on the applied isometric or isotensional boundary conditions, which correspond to the Helmholtz or Gibbs ensembles of the statistical mechanics, respectively. The theoretical analysis is conducted through the spin variables approach, based on a set of discrete quantities able to identify the folded or unfolded state of the chain units. Eventually, this technique yields closed form expressions for the force-extension curves and the average number of unfolded units, as function of the applied fields. In addition, it allows to unveil a critical behavior of such systems, characterizing the operating regions with negative differential stiffness (spinoidal phase).

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“…This investigation has furthermore clarified how the second law arises from microscopic equations of motion that are timereversal symmetric [4,5,16,26] and how logical information should be taken into account in thermodynamic bookkeeping [12,13,. Experimental advances in controlling small systems have opened up the possibility of investigating stochastic thermodynamics in a variety of platforms including electronic systems [57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74], DNA molecules [75,76], photons [77], Brownian particles [78,79], and ultracold atoms [80]. Extensions to the quantum regime [81], where additional subtleties and challenges are encountered, have already led to many exciting insights both from theory [3,[82][83][84] as well as from experiment [85][86][87][88].…”

Section: Introductionmentioning

confidence: 96%

Autonomous conversion of information to work in quantum dots

Sánchez

Samuelsson

Potts

2019

Phys. Rev. Research

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We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous architecture allows us to compare descriptions in terms of information to a more traditional, thermoelectric characterization. Our detailed investigation of information-to-work conversion is based on fluctuation relations and second law like inequalities in addition to the average heat and charge currents. By introducing a time-reversal on the level of individual electrons, we find a novel fluctuation relation that is not connected to any symmetry of the moment generating function of heat and particle flows. Furthermore, we show how an effective Markovian master equation with broken detailed balance for the system alone can emerge from a full description, allowing for an investigation of the entropic cost associated to breaking detailed balance. Interestingly, while the entropic cost of performing a perfect measurement diverges, the entropic cost of breaking detailed balance does not. Our results connect various approaches and idealized scenarios found in the literature and can be tested experimentally with present day technology. arXiv:1907.02866v1 [cond-mat.mes-hall]

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Control of force through feedback in small driven systems

Cited by 15 publications

References 32 publications

Experimental test of ensemble inequivalence and the fluctuation theorem in the force ensemble in DNA pulling experiments

Experimental test of ensemble inequivalence and the fluctuation theorem in the force ensemble in DNA pulling experiments

Isotensional and isometric force-extension response of chains with bistable units and Ising interactions

Autonomous conversion of information to work in quantum dots

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