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Thermodynamic equilibrium in isolated spin systems

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Abstract

A computational study of the redistribution of magnetization in systems of 2–15 coupled spins is presented, exhibiting the principles that govern the application of thermodynamics and statistical mechanics to isolated systems and emphasizing the meaning of equilibrium. In general, the equilibrium distribution is not uniform, i.e., the systems are not ergodic, because a nonuniform initial distribution sets the values of a large number of auxiliary nonphysical constants of the motion.

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References

  1. Slichter C.P.: Principles of Magnetic Resonance, 3rd edn. Berlin: Springer 1989.

    Google Scholar 

  2. Goldman M.: Spin Temperature and Nuclear Magnetic Resonance in Solids. Oxford: Clarendon 1970.

    Google Scholar 

  3. Brush S.G.: Kinetic Theory of Gases: an Anthology of Classic Papers with Historical Commentary. London: Imperial College Press 2003.

    Google Scholar 

  4. Rhim W.-K., Pines A., Waugh J.S.: Phys. Rev. B3, 684 (1971)

    Article  ADS  Google Scholar 

  5. Waugh J.S. in: Pulsed Magnetic Resonance: NMR, ESR, and Optics (Bagguley D.M.S., ed.), pp. 174–183. Oxford: Clarendon 1992.

    Google Scholar 

  6. Pines A., Gibby M., Waugh J.S.: J. Chem. Phys.56, 1776 (1972)

    Article  ADS  Google Scholar 

  7. Levitt M., Suter D., Ernst R.R.: J. Chem. Phys.84, 4243 (1986)

    Article  ADS  Google Scholar 

  8. Sørensen O.W.: J. Magn. Reson.92, 642 (1991)

    Google Scholar 

  9. Brueschweiler R., Ernst R.R.: Chem. Phys. Lett.294, 363 (1997)

    Google Scholar 

  10. Waugh J.S.: Mol. Phys.95, 731 (1998)

    Article  ADS  Google Scholar 

  11. Sakellariou D., Hodgkinson P., Emsley L.: Chem. Phys. Lett.293, 110 (1998)

    Article  ADS  Google Scholar 

  12. Meier B.H.: Adv. Magn. Reson.18, 1 (1994)

    Google Scholar 

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Waugh, J.S. Thermodynamic equilibrium in isolated spin systems. Appl. Magn. Reson. 27, 165–170 (2004). https://doi.org/10.1007/BF03166311

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  • DOI: https://doi.org/10.1007/BF03166311

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