Skip to main content
Log in

The Spin-Echo Experiment and Statistical Mechanics

  • Original Paper
  • Published:
Foundations of Physics Letters

No Heading

In this paper the spin-echo experiment is examined in the light of three different approaches to statistical mechanics: the coarse-graining Gibbsian approach, the interventionist Gibbsian approach, and the Boltzmannian approach. The conclusions of this examination are almost exactly opposite to the conclusions of Ridderbos and Redhead [1]: Firstly, it is argued that the spin-echo experiment does not tell against a coarse-graining approach to statistical mechanics. Secondly, it is argued that the interventionist approach to statistical mechanics is itself somewhat problematic as its statistical mechanical counterpart of thermodynamic entropy has a number of properties that actual thermodynamic entropy seemingly does not. In the final section of this paper a feature of coarse-grained entropies (their relativity) is noted that may enable coarse-graining approaches to reconcile conflicting intuitions about the behaviour of entropy in the spin-echo experiment, which may be considered a further advantage of such approaches.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 1. T. M. Ridderbos, and M. L. G. Redhead, “The spin-echo experiments and the second law of thermodynamics,” in Found. Phys. 28, 1237–1270 (1998).

    Article  MathSciNet  Google Scholar 

  2. 2. D. A. Lavis, “The spin-echo system reconsidered,” in Found. Phys. 34, 669–688 (2004).

    Article  MATH  Google Scholar 

  3. 3. K. Ridderbos, “The coarse-graining approach to statistical mechanics: How blissful is our ignorance?,” in Stud. Hist. Phil. Mod. Phys. 33, 65–77 (2002).

    MathSciNet  Google Scholar 

  4. 4. J. M. Blatt, “An alternative approach to the ergodic problem,” in Prog. Theor. Phys. 22, 745–756 (1959).

    MathSciNet  Google Scholar 

  5. 5. L. Sklar, Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics (University Press, Cambridge, 1993).

    Google Scholar 

  6. 6. D. A. Lavis, “Boltzmann and Gibbs: An attempted reconciliation,” forthcoming in Stud. Hist. Phil. Mod. Phys. (2005).

    Google Scholar 

  7. 7. E. T. Jaynes, “Gibbs vs Boltzmann entropies,” in R.D. Rosenkrantz, ed., E.T. Jaynes: Papers on Probability, Statistics and Statistical Physics (Reidel, Dordrecht, 1983), pp. 77–86.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter Ainsworth.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ainsworth, P. The Spin-Echo Experiment and Statistical Mechanics. Found Phys Lett 18, 621–635 (2005). https://doi.org/10.1007/s10702-005-1316-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10702-005-1316-z

Key words:

Navigation