Dynamic Transition in a Hierarchical Ising System

David Kutasov; Amnon Aharony; Eytan Domany; Wolfgang Kinzel

doi:10.1103/PhysRevLett.56.2229

Dynamic Transition in a Hierarchical Ising System

David Kutasov, Amnon Aharony, Eytan Domany, Wolfgang Kinzel

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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 language	English
Pages (from-to)	2229-2232
Number of pages	4
Journal	Physical Review Letters
Volume	56
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.56.2229
State	Published - 1 Jan 1986
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.56.2229

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title = "Dynamic Transition in a Hierarchical Ising System",

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.",

author = "David Kutasov and Amnon Aharony and Eytan Domany and Wolfgang Kinzel",

year = "1986",

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N2 - 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.

AB - 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.

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Dynamic Transition in a Hierarchical Ising System

Abstract

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