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

Abstract

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
Volume56
Issue number21
DOIs
StatePublished - 1986

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