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Computer Simulation Studies in Condensed-Matter Physics XIV pp 34–39Cite as

Dynamic Phase Diagram for a Periodically Driven Kinetic Square-lattice Ising Ferromagnet: Finite-size Scaling Evidence for the Absence of a Tri-critical Point

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 89))

Abstract

We discuss the subtle finite-size effects of the dynamic phase transition (DPT) in a two-dimensional kinetic Ising ferromagnet driven by an oscillating external field. We present computational and analytical evidence that there is no finite-temperature tri-critical point in the dynamic phase diagram of this model. This contrasts with earlier claims [1–3] for the existence of a tri-critical point in this model. Careful finite-size scaling analysis of Monte Carlo simulations reveals that the negative dip of the Binder cumulant and the corresponding multi-peak order- parameter distribution (often characteristic of a first-order transition) are merely finite-size effects in this case. When the DPT prevails in the infinite-system limit, it is always continuous. The misleading finite-size effects are related to the stochastic nature of the underlying metastable decay for “small” systems, which exhibit stochastic resonance.

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Author information

Authors and Affiliations

  1. Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590, USA

    G. Korniss

  2. School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida, 32306-4120, USA

    P. A. Rikvold & M. A. Novotny

  3. Department of Physics and Center for Materials Research and Technology, Florida State University, Tallahassee, Florida, 32306-4350, USA

    P. A. Rikvold

  4. Department of Physics and Astronomy, Mississippi State University, P.O.Box 5167, Mississippi State, MS, 39762-5167, USA

    M. A. Novotny

Authors
  1. G. Korniss
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  2. P. A. Rikvold
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  3. M. A. Novotny
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Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, 30602-2451, Athens, GA, USA

    David P. Landau Ph.D. , Steven P. Lewis Ph.D.  & Heinz-Bernd Schüttler Ph.D. ,  & 

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© 2002 Springer-Verlag Berlin Heidelberg

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Korniss, G., Rikvold, P.A., Novotny, M.A. (2002). Dynamic Phase Diagram for a Periodically Driven Kinetic Square-lattice Ising Ferromagnet: Finite-size Scaling Evidence for the Absence of a Tri-critical Point. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-59406-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63967-8

  • Online ISBN: 978-3-642-59406-9

  • eBook Packages: Springer Book Archive

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