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A Monte-Carlo Calculation of the Renormalized Coupling Constant for the Three Dimensional Ising Model Using Improved Estimators

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Computer Simulation Studies in Condensed-Matter Physics VIII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 80))

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Abstract

Improved estimators for the second partial of the susceptibility and the correlation length are developed in the context of the Swendsen-Wang algorithm. These estimators have much improved convergence properties. We report Monte Carlo calculations for the renormalized coupling constant for a series of system sizes and temperatures such that the ratio of the correlation length to the system size is about one-tenth. This ratio is small enough so our results can be expected to approximate the thermodynamic limit within a per cent or better. Our results strongly support hyperscaling.

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Author information

Authors and Affiliations

  1. Theoretical Division, University of California, Los Alamos, NM, 87545, USA

    G. A. Baker Jr.

  2. Los Alamos National Laboratory, University of California, Los Alamos, NM, 87545, USA

    G. A. Baker Jr.

  3. University of Tokyo, Japan

    N. Kawashima

Authors
  1. G. A. Baker Jr.
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  2. N. Kawashima
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Editor information

Editors and Affiliations

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

    David P. Landau Ph. D. , K. K. Mon Ph. D.  & Heinz-Bernd Schüttler Ph. D. ,  & 

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© 1995 Springer-Verlag Berlin Heidelberg

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Baker, G.A., Kawashima, N. (1995). A Monte-Carlo Calculation of the Renormalized Coupling Constant for the Three Dimensional Ising Model Using Improved Estimators. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VIII. Springer Proceedings in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79991-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-79991-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79993-8

  • Online ISBN: 978-3-642-79991-4

  • eBook Packages: Springer Book Archive

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