Nucleation for One-Dimensional Long-Range Ising Models

Aernout C.D. van Enter, Bruno Kimura, Wioletta Ruszel, Cristian Spitoni*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
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In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration - 1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying interaction) and we show that the critical droplet might be macroscopic or mesoscopic, according to the value of the external magnetic field.

Original languageEnglish
Pages (from-to)1327-1345
Number of pages19
JournalJournal of Statistical Physics
Issue number6
Publication statusPublished - 2019


  • Long-range Ising model
  • Metastability
  • Nucleation

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