Logarithmic Factors, Critical Temperature, and Zero Temperature Flipping in the 4D Kinetic Ising Model

Dietrich Stauffer () and Joan Adler ()
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Dietrich Stauffer: Institute for Theoretical Physics, Cologne University, D-50923 Köln, Germany
Joan Adler: Department of Physics, Technion, Haifa, 32000, Israel and Physics Department, Duke University, Durham, NC 27708-0305, USA

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 02, 263-267

Abstract: We determine the critical temperature in the four-dimensional nearest-neighbor Ising model asJ/kBTc=0.149694±0.000002from kinetic Monte Carlo simulations of up to 5764spins. Here we assume the critical magnetization to decay with time as(t/ log t)-1/2. However, possible logarithmic additions to this leading scaling behavior could change the estimate beyond these error bars. A reanalyzis of old series expansions for the susceptibility and fourth moment gives 0.149696±0.000004.

Keywords: Critical Phenomena; Series Expansions; Large-Scale Monte Carlo (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000230

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