Skip to main content

Maxwell and Boltzmann

  • Chapter
  • First Online:
Approaches to Entropy
  • 896 Accesses

Abstract

In 1845, John Waterston, a Scot working for the East India Company, sent a manuscript to the Royal Society in London, proposing that a gas is composed of innumerable tiny molecules, in constant motion and continuously bouncing into each other. The manuscript was rejected as nonsense, without even the courtesy of a reply. In 1891, long after Waterston had died, Lord Rayleigh, then President of the Royal Society, discovered the manuscript purely by chance and wrote “The omission to publish ... probably retarded the subject by ten or fifteen years”. By that time, Waterston’s ideas were long established, though his name is largely forgotten.

This is therefore a possible form of the final distribution of velocities; it is also the only form

Maxwell

Experience teaches that one will be led to new discoveries almost exclusively by means of special mechanical models

Boltzmann

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
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

Notes

  1. 1.

    The little that Waterston did manage to publish showed detailed calculations of macroscopic properties of gases such as temperature in terms of kinetic energy of the molecules, but they made no impact at all on the science of the day. A number of pioneers of thermodynamics are now almost completely unknown, as discussed by Truesdell [1].

  2. 2.

    This approach is contrasted to that of Gibbs, who studied a system in \(6\,N\) dimensional space rather than N systems in 6-dimensional space.

References

  1. C. Truesdell, An Idiot’s Fugitive Essays on Science (Springer, Berlin, 1987)

    Book  Google Scholar 

  2. J. Herapath, A mathematical inquiry into the causes, laws and principal phenomena of heat, gases, gravitation, etc. Ann. Philos. 1, 278–281 (1821)

    Google Scholar 

  3. R. Clausius, On the nature of the motion which we call heat. Ann. Der Phys. 100, 353–380 (1857)

    Article  Google Scholar 

  4. J. Rowlinson, The Maxwell-Boltzmann distribution. Mol. Phys. 103, 2821–2828 (2005)

    Article  Google Scholar 

  5. E.T. Jaynes, Violations of Boltzmann’s H theorem in real gases. Phys. Rev. A 4, 747 (1971)

    Article  Google Scholar 

  6. S. Gull, Some misconceptions about entropy, in Maximum Entropy in Action, ed. by B. Buck, V.A. Macaulay (Oxford University Press, Oxford, 1991)

    Google Scholar 

  7. E.T. Jaynes, The Gibbs Paradox, in Maximum Entropy and Bayesian Methods, ed. by C.R. Smith, G.J. Erickson, P.O. Neudorfer (1992)

    Google Scholar 

  8. D. Lindley, Boltzmann’s Atom (The Free Press, New York, 2001)

    Google Scholar 

  9. C. Cercignani, Ludwig Boltzmann: The Man Who Trusted Atoms (Oxford University Press, Oxford, 1998)

    MATH  Google Scholar 

  10. R.P. Feynman, Feynman Lectures on Physics (Addison-Wesley, Reading, 1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jeremy R. H. Tame .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Tame, J.R.H. (2019). Maxwell and Boltzmann. In: Approaches to Entropy. Springer, Singapore. https://doi.org/10.1007/978-981-13-2315-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-2315-7_3

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2314-0

  • Online ISBN: 978-981-13-2315-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics