Dynamic Transition in a Hierarchical Ising System

David Kutasov, Amnon Aharony, Eytan Domany, Wolfgang Kinzel

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


A one-dimensional kinetic Ising model, with hierarchical couplings, is solved. We find algebraic relaxation of the magnetization, with a temperature-dependent exponent, and breakdown of dynamic scaling. The nonlinear relaxation time diverges with the system size below a dynamic transition temperature. Possible relevance to dilute Ising systems at percolation is discussed.

Original languageEnglish
Pages (from-to)2229-2232
Number of pages4
JournalPhysical Review Letters
Issue number21
StatePublished - 1 Jan 1986
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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