Calculation of exchange frequencies in bcc He3 with the path-integral Monte Carlo method

D. M. Ceperley, G. Jacucci

Research output: Contribution to journalArticlepeer-review

Abstract

The exchange frequency in crystal He3 is calculated from first principles with a combination of path-integral Monte Carlo method and a method used in classical statistical mechanics to determine free-energy differences. The frequency of nearest-neighbor exchange at melting density is 0.46 mK, that of triple exchange is 0.19 mK, and that of four-particle planar exchange is 0.27 mK. These exchange frequencies are within 30% of the values obtained from the empirical multiple-exchange model and agree with measurements. Many other types of high-order cyclic exchanges make significant contributions to thermodynamic properties, showing that He3 is more complex than previously thought.

Original languageEnglish (US)
Pages (from-to)1648-1651
Number of pages4
JournalPhysical review letters
Volume58
Issue number16
DOIs
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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