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Information ratchets exploiting spatially structured information reservoirs.

Richard E Spinney1, Mikhail Prokopenko1, Dominique Chu2

  • 1Complex Systems Research Group and Centre for Complex Systems, The University of Sydney, Sydney, New South Wales 2006, Australia.

Physical Review. E
|September 27, 2018
PubMed
Summary
This summary is machine-generated.

Mechanized Maxwell's demons extract work using information reservoirs. Their efficiency depends critically on the reservoir's dimensionality, with higher dimensions enabling greater work extraction.

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Area of Science:

  • Statistical Physics
  • Information Theory
  • Computational Science

Background:

  • Maxwell's demons, or information ratchets, link computation, information theory, and statistical physics.
  • They extract work from heat reservoirs by exploiting low-entropy information reservoirs.
  • Prior models often neglected the cost of accessing information or assumed idealized reservoirs.

Purpose of the Study:

  • To investigate the impact of information reservoir dimensionality on the performance of mechanized Maxwell's demons.
  • To account for the physical cost of accessing information from structured reservoirs.
  • To analyze work extraction efficiency and phase diagrams based on reservoir dimensions.

Main Methods:

  • Developing a model that incorporates the cost of delivering bits to the demon.
  • Analyzing biased random walks on d-dimensional (Z^d) information reservoirs.
  • Deriving expressions for net-extracted work and exact probabilities of recurrence.

Main Results:

  • The dimensionality of the information reservoir significantly affects the demon's performance and phase diagram.
  • Work extraction is greatly reduced for conventional one-dimensional information tapes.
  • Two critical dimensions were identified: d>2 for zero-bias work extraction and d>4 for optimal unbiased work extraction.

Conclusions:

  • The physical structure and dimensionality of information reservoirs are crucial for understanding information ratchets.
  • Higher-dimensional reservoirs offer greater potential for work extraction.
  • The study provides a generalized framework for analyzing information ratchets in various dimensionalities.