Fluctuation theorem for partially masked nonequilibrium dynamics

Shiraishi, Naoto; Sagawa, Takahiro

doi:10.1103/physreve.91.012130

Cited by 137 publications

(217 citation statements)

References 44 publications

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“…As shown below, similar factors have been introduced before in the context of Fluctuation theorems with feedback [32,33] and on related second-law like inequalities with information [30,31].…”

Section: A Equilibrium Initial Conditionsmentioning

confidence: 96%

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Thermodynamic inference based on coarse-grained data or noisy measurements

2016

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Fluctuation theorems have become an important tool in single molecule biophysics to measure free energy differences from non-equilibrium experiments. When significant coarse-graining or noise affect the measurements, the determination of the free energies becomes challenging. In order to address this thermodynamic inference problem, we propose improved estimators of free energy differences based on fluctuation theorems, which we test on a number of examples. The effect of the noise can be described by an effective temperature, which only depends on the signal to noise ratio, when the work is Gaussian distributed and uncorrelated with the error made on the work. The notion of effective temperature appears less useful for non-Gaussian work distributions or when the error is correlated with the work, but nevertheless, as we show, improved estimators can still be constructed for such cases. As an example of non-trivial correlations between the error and the work, we also consider measurements with delay, as described by linear Langevin equations.

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Section: A Equilibrium Initial Conditionsmentioning

confidence: 96%

“…Now, the bias in the Jarzynski estimator, R can be evaluated using Eqs. (21), (32) and (34), with the result…”

Section: Consequences For Specific Work and Error Distributionsmentioning

confidence: 99%

Thermodynamic inference based on coarse-grained data or noisy measurements

2016

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“…[5,9,11,[13][14][15][16][17][18][20][21][22][23][24][25][26][27] themselves do not satisfy the condition (a) or (b). By taking an information engine [15] as an example, we here demonstrate that how the addition of a new variable makes these engines satisfying the conditions (a) and (b).…”

Section: Methods To Adding a New Stochastic Variable To Satisfy Conditmentioning

confidence: 99%

“…Although they seemingly attain the CE [5,8], it has been established that these models actually cannot attain the CE in physically plausible setups [9][10][11][12]. Another famous model is an information engine [13][14][15][16], which performs autonomous control and always transports a single particle between particle baths. In contrast to Feynman's ratchet and the Büttiker-Landauer system, the information engine attains the CE.…”

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confidence: 99%

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Attainability of Carnot efficiency with autonomous engines

Shiraishi

2015

Phys. Rev. E

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The maximum efficiency of autonomous engines with finite chemical potential difference is investigated. We show that without a particular type of singularity autonomous engines cannot attain the Carnot efficiency. This singularity is realized in two ways: single particle transports and the thermodynamic limit. We demonstrate that both of two ways really lead to the Carnot efficiency in concrete setups. Our results clearly illustrate that the singularity plays a crucial role for the maximum efficiency of autonomous engines.

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Information Flow and Entropy Production on Bayesian Networks

Ito

Sagawa

2016

Mathematical Foundations and Applications of Graph Entropy

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In this article, we review a general theoretical framework of thermodynamics of information on the basis of Bayesian networks. This framework can describe a broad class of nonequilibrium dynamics of multiple interacting systems with complex information exchanges. For such situations, we discuss a generalization of the second law of thermodynamics including information contents. A key concept here is an informational quantity called the transfer entropy, which describes the directional information transfer in stochastic dynamics. The generalized second law gives the fundamental lower bound of the entropy production in nonequilibrium dynamics, and sheds modern light on the paradox of "Maxwell's demon" that performs measurements and feedback control at the level of thermal fluctuations.

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Fluctuation theorem for partially masked nonequilibrium dynamics

Cited by 137 publications

References 44 publications

Thermodynamic inference based on coarse-grained data or noisy measurements

Thermodynamic inference based on coarse-grained data or noisy measurements

Attainability of Carnot efficiency with autonomous engines

Information Flow and Entropy Production on Bayesian Networks

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