Skip to main content

Thermodynamical and Logical Irreversibility

  • Chapter
  • First Online:
Experiments on the Thermodynamics of Information Processing

Part of the book series: Springer Theses ((Springer Theses))

  • 434 Accesses

Abstract

In my attempt to erase memory, I noticed that erasure protocols that differ subtly give measurably different values for the asymptotic work, a result I explain by showing that one protocol is symmetric with the respect to time reversal, while the other is not. The differences between the protocols help clarify the distinctions between thermodynamic and logical reversibility. Here, I compare thermodynamically reversible and irreversible protocol using computer simulations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Momčilo Gavrilov, John Bechhoefer, Erasure without work in an asymmetric, double-well potential. Phys. Rev. Lett. 117, 200601 (2016)

    Article  ADS  Google Scholar 

  2. O.J.E. Maroney, The (absence of a) relationship between thermodynamic and logical reversibility. Stud. Hist. Phil. Mod. Phys. 36, 355–374 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  3. T. Sagawa. Thermodynamic and logical reversibilities revisited. J. Stat. Mech. P03025 (2014)

    Google Scholar 

  4. R. Landauer, Irreversibility and heat generation in the computing process. IBM J. Res. Develop. 5, 183–191 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  5. Alexander B. Boyd, James P. Crutchfield, Maxwell demon dynamics: deterministic chaos, the Szilard map, and the intelligence of thermodynamic systems. Phys. Rev. Lett. 116, 190601 (2016)

    Article  ADS  Google Scholar 

  6. O.J.E. Maroney, Generalizing landauer’s principle. Phy. Rev. E 79, 031105 (2009)

    Google Scholar 

  7. H.B. Callen. Thermodynamics and an Introduction to Thermostatistics 2nd edn. (Wiley, New Jersey, 1985)

    Google Scholar 

  8. M. Gavrilov, J. Bechhoefer, Arbitrarily slow, non-quasistatic, isothermal transformations. EPL (Europhys. Lett.) 114(5), 50002 (2016)

    Article  ADS  Google Scholar 

  9. R. Kawai, J.M.R. Parrondo, C. Van den Broeck, Dissipation: the phase-space perspective. Phys. Rev. Lett. 98, 080602 (2007)

    Article  ADS  Google Scholar 

  10. J.M.R. Parrondo, C. Van den Broeck, R. Kawai, Entropy production and the arrow of time. New J. Phys. 11, 073008 (2009)

    Article  ADS  Google Scholar 

  11. É. Roldán, I.A. Martínez, J.M.R. Parrondo, D. Petrov, Universal features in the energetics of symmetry breaking. Nature Phys. 10, 457–461 (2014)

    Article  ADS  Google Scholar 

  12. Takahiro Sagawa, Masahito Ueda, Information Thermodynamics: Maxwell’s Demon in Nonequilibrium Dynamics (Wiley, Weinheim, 2013)

    Google Scholar 

  13. Raoul Dillenschneider, Eric Lutz, Memory erasure in small systems. Phys. Rev. Lett. 102, 210601 (2009)

    Article  ADS  Google Scholar 

  14. Y. Jun, J. Bechhoefer, Virtual potentials for feedback traps. Phys. Rev. E 86, 061106 (2012)

    Article  ADS  Google Scholar 

  15. M. Gavrilov, Y. Jun, J. Bechhoefer. Real-time calibration of a feedback trap. Rev. Sci. Instrum. 85(9) (2014)

    Google Scholar 

  16. E. Roldán, I. Neri, M. Dörpinghaus, H. Meyr, F. Jülicher, Decision making in the arrow of time. Phys. Rev. Lett. 115, 250602 (2015)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Momčilo Gavrilov .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Gavrilov, M. (2017). Thermodynamical and Logical Irreversibility. In: Experiments on the Thermodynamics of Information Processing. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63694-8_6

Download citation

Publish with us

Policies and ethics