Dynamics of Random Dipoles : Chaos vs ferromagnetism

Fausto Borgonovi, Giuseppe Celardo

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The microcanonical dynamics of an ensemble of random magnetic dipoles in a needle has been investigated. Due to the presence of a constant of motion in the 1D case, a ‘dimensional’ phase transition in the quasi one-dimensional case has been found separating a paramagnetic chaotic phase from a ferromagnetic regular one. In particular, a simple criterion for the transition has been formulated and an intensive critical parameter found. Numerical simulations support our understanding of this complex phenomenon.
Original languageEnglish
Pages (from-to)N/A-N/A
Number of pages15
JournalJournal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - 2010


  • dipolar interaction
  • dynamical phase transitions
  • long range interacting systems


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