On the applicability of the equipartition theorem

Edward Bormashenko, Oleg Gendelman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Generalization of the equipartition theorem is presented for a broad range of potentials U(x) with quadratic minimum. It is shown, that the equipartition of energy in its standard form appears at the low temperatures limit. For potentials demonstrating the quadratic behavior for large displacements from the equilibrium the equipartition holds also in the high temperature limit. The temperature range of applicability of the equipartition theorem for the potential U = ax2 + bx4 was established.

Original languageEnglish
Pages (from-to)855-858
Number of pages4
JournalThermal Science
Issue number3
StatePublished - 2010


  • Equipartition of energy
  • Quadratic potential
  • Saddle point method


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