Critical slowing down of diffusion in a one-dimensional kinetic Ising model

W. Zwerger

doi:10.1016/0375-9601(81)90809-4

Critical slowing down of diffusion in a one-dimensional kinetic Ising model

W. Zwerger

Natural Sciences

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

32 Scopus citations

Abstract

The critical behaviour of a one-dimensional kinetic Ising model with NN interaction and purely diffusive dynamics is solved exactly. At the ferromagnetic transition T_c = 0 the diffusion constant is found to vanish ≈ξ^-3 corresponding to a dynamical exponent z = 5 in contrast to conventional theory, whereas the scaling function to lowest order in ξ^-1 and q exhibits Ornstein-Zernike behaviour.

Original language	English
Pages (from-to)	269-270
Number of pages	2
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	84
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(81)90809-4
State	Published - 3 Aug 1981

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10.1016/0375-9601(81)90809-4

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title = "Critical slowing down of diffusion in a one-dimensional kinetic Ising model",

abstract = "The critical behaviour of a one-dimensional kinetic Ising model with NN interaction and purely diffusive dynamics is solved exactly. At the ferromagnetic transition Tc = 0 the diffusion constant is found to vanish ≈ξ-3 corresponding to a dynamical exponent z = 5 in contrast to conventional theory, whereas the scaling function to lowest order in ξ-1 and q exhibits Ornstein-Zernike behaviour.",

author = "W. Zwerger",

year = "1981",

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AU - Zwerger, W.

PY - 1981/8/3

Y1 - 1981/8/3

N2 - The critical behaviour of a one-dimensional kinetic Ising model with NN interaction and purely diffusive dynamics is solved exactly. At the ferromagnetic transition Tc = 0 the diffusion constant is found to vanish ≈ξ-3 corresponding to a dynamical exponent z = 5 in contrast to conventional theory, whereas the scaling function to lowest order in ξ-1 and q exhibits Ornstein-Zernike behaviour.

AB - The critical behaviour of a one-dimensional kinetic Ising model with NN interaction and purely diffusive dynamics is solved exactly. At the ferromagnetic transition Tc = 0 the diffusion constant is found to vanish ≈ξ-3 corresponding to a dynamical exponent z = 5 in contrast to conventional theory, whereas the scaling function to lowest order in ξ-1 and q exhibits Ornstein-Zernike behaviour.

UR - https://www.scopus.com/pages/publications/0039890723

U2 - 10.1016/0375-9601(81)90809-4

DO - 10.1016/0375-9601(81)90809-4

M3 - Article

AN - SCOPUS:0039890723

SN - 0375-9601

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SP - 269

EP - 270

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -

Critical slowing down of diffusion in a one-dimensional kinetic Ising model

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