Effect of next-nearest neighbor interactions on the dynamic order parameter of the kinetic Ising model in an oscillating field

William D. Baez; Trinanjan Datta

doi:10.1016/j.phpro.2010.08.005

Effect of next-nearest neighbor interactions on the dynamic order parameter of the kinetic Ising model in an oscillating field

William D. Baez, Trinanjan Datta

Chemistry and Physics

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

5 Scopus citations

Abstract

We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = J_NNN/J_NN) of the NNN (J_NNN) to the nearest-neighbor (NN) interaction (J _NN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.

Original language	English (US)
Pages (from-to)	15-19
Number of pages	5
Journal	Physics Procedia
Volume	4
DOIs	https://doi.org/10.1016/j.phpro.2010.08.005
State	Published - 2010

Keywords

Dynamic phase transition
Kinetic Ising model
Metastable lifetime
Next-nearest neighbor interaction

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.phpro.2010.08.005

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@article{490fd5759b534243bea6b064108f1bfd,

title = "Effect of next-nearest neighbor interactions on the dynamic order parameter of the kinetic Ising model in an oscillating field",

abstract = "We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the nearest-neighbor (NN) interaction (J NN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.",

keywords = "Dynamic phase transition, Kinetic Ising model, Metastable lifetime, Next-nearest neighbor interaction",

author = "Baez, {William D.} and Trinanjan Datta",

note = "Funding Information: Acknowledgment TD and WDB thank Per Arne Rikvold and Mark A. Novotny for many helpful discussions. WDB thanks Tom Colbert, Andy Hauger, and Pamplin Student Research Funds (ASU). TD thanks Faculty Research Faculty Development Funds (ASU).",

year = "2010",

doi = "10.1016/j.phpro.2010.08.005",

language = "English (US)",

volume = "4",

pages = "15--19",

journal = "Physics Procedia",

issn = "1875-3884",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Effect of next-nearest neighbor interactions on the dynamic order parameter of the kinetic Ising model in an oscillating field

AU - Baez, William D.

AU - Datta, Trinanjan

N1 - Funding Information: Acknowledgment TD and WDB thank Per Arne Rikvold and Mark A. Novotny for many helpful discussions. WDB thanks Tom Colbert, Andy Hauger, and Pamplin Student Research Funds (ASU). TD thanks Faculty Research Faculty Development Funds (ASU).

PY - 2010

Y1 - 2010

N2 - We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the nearest-neighbor (NN) interaction (J NN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.

AB - We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the nearest-neighbor (NN) interaction (J NN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.

KW - Dynamic phase transition

KW - Kinetic Ising model

KW - Metastable lifetime

KW - Next-nearest neighbor interaction

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DO - 10.1016/j.phpro.2010.08.005

M3 - Article

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SP - 15

EP - 19

JO - Physics Procedia

JF - Physics Procedia

ER -

Effect of next-nearest neighbor interactions on the dynamic order parameter of the kinetic Ising model in an oscillating field

Abstract

Keywords

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