Dynamic Transition in a Hierarchical Ising System

David Kutasov*, Amnon Aharony, Eytan Domany, Wolfgang Kinzel

*Corresponding author for this work

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 - 1986


Dive into the research topics of 'Dynamic Transition in a Hierarchical Ising System'. Together they form a unique fingerprint.

Cite this