Rate of equilibration of a one-dimensional Wigner crystal

K. A. Matveev, A. V. Andreev, M. Pustilnik

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We consider a system of one-dimensional spinless particles interacting via long-range repulsion. In the limit of strong interactions the system is a Wigner crystal, with excitations analogous to phonons in solids. In a harmonic crystal the phonons do not interact, and the system never reaches thermal equilibrium. We account for the anharmonism of the Wigner crystal and find the rate at which it approaches equilibrium. The full equilibration of the system requires umklapp scattering of phonons, resulting in exponential suppression of the equilibration rate at low temperatures.

Original languageEnglish
Pages (from-to)1898-1900
Number of pages3
JournalPhysica B: Condensed Matter
Issue number11
Publication statusPublished - 1 Jun 2012
Externally publishedYes


  • Equilibration
  • One-dimensional systems
  • Wigner crystal


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