# Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets

@article{Boyd2015IdentifyingFT, title={Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets}, author={Alexander B. Boyd and D. Mandal and James P. Crutchfield}, journal={arXiv: Statistical Mechanics}, year={2015} }

We introduce a family of Maxwellian Demons for which correlations among information bearing degrees of freedom can be calculated exactly and in compact analytical form. This allows one to precisely determine Demon functional thermodynamic operating regimes, when previous methods either misclassify or simply fail due to approximations they invoke. This reveals that these Demons are more functional than previous candidates. They too behave either as engines, lifting a mass against gravity by… Expand

#### 55 Citations

The Functional Thermodynamics of Finite-State Maxwellian Ratchets

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Recent results from dynamical-system and ergodic theories that efficiently and accurately calculate the entropy rates and the rate of statistical complexity divergence of general hidden Markov processes are adapted and applied to information ratchets. Expand

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Information ratchets exploiting spatially structured information reservoirs.

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- 2018

This work shows that the dimensionality of the reservoir has a significant impact on the performance and phase diagram of the demon and derives exact probabilities of recurrence in these systems, generalizing previously known results. Expand

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We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. These… Expand

Autonomous conversion of information to work in quantum dots

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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… Expand

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A general measure of the thermodynamic efficiency with which nonequilibrium states are created is identified and the accuracy and efficiency of a family of dynamical models that produce persistent copies are analyzed, which provide insight into the design of natural self-replicating systems and can aid the designs of synthetic replicators. Expand

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It is shown that if oracular information could be incorporated within any device that anticipates and consumes a pattern to release work, this would be inconsistent with the second law of thermodynamics, which suggests that oracular Information is only physical when used by machines that are the cause of patterns. Expand

Thermodynamics of Modularity: Structural Costs Beyond the Landauer Bound

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This work shows how to circumvent modularity dissipation by designing internal ratchet states that capture the global correlations and patterns in the ratchet's information reservoir, designed in this way to match the optimum thermodynamic efficiency of globally integrated computations. Expand

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