Lettere al Nuovo Cimento (1971-1985)

, Volume 35, Issue 3, pp 93–96 | Cite as

Planck’s formula for classical oscillators with stochasticity thresholds

  • L. Galgani
  • G. Benettin


In this paper a further contribution is given to the attempt of understanding the consequences that occur in statistical mechanics from the hypothesis that there exist stochasticity thresholds in the dynamics of an oscillator weakly coupled to a conservative system of oscillators, following an old idea of Nernst. By taking a point of view due to Boltzmann, and identifying the thermodynamic energy with that fraction of mechanical energy which is highly unstable and thus available to thermal exchanges, it is shown how one is thus led to Planck’s formula.


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Copyright information

© Società Italiana di Fisica 1982

Authors and Affiliations

  • L. Galgani
    • 1
    • 2
  • G. Benettin
    • 3
    • 4
  1. 1.Istituto di Fisica dell’ UniversitàMilano
  2. 2.Istituto di Matematica dell’ UniversitàMilano
  3. 3.Istituto di Fisica dell’UniversitàPadova
  4. 4.Gruppo Nazionale di Struttura della Materia del C.N.R.Unità di Padova

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