Stationary States in Infinite Volume with Non-zero Current

Gioia Carinci*, Cristian Giardinà, Errico Presutti

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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We study the Ginzburg–Landau stochastic models in infinite domains with some special geometry and prove that without the help of external forces there are stationary measures with non-zero current in three or more dimensions.

Original languageEnglish
Pages (from-to)366-397
Number of pages32
JournalJournal of Statistical Physics
Volume180 (2020)
Issue number1-6
Publication statusPublished - 2019


  • Non-equilibrium steady state
  • Phase transition


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