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

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-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 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 - 1986

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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",

doi = "10.1103/PhysRevLett.56.2229",

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volume = "56",

pages = "2229--2232",

journal = "Physical Review Letters",

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AU - Kutasov, David

AU - Aharony, Amnon

AU - Domany, Eytan

AU - Kinzel, Wolfgang

PY - 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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U2 - 10.1103/PhysRevLett.56.2229

DO - 10.1103/PhysRevLett.56.2229

M3 - מאמר

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SP - 2229

EP - 2232

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

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ER -

Dynamic Transition in a Hierarchical Ising System

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