Logarithmic Factors, Critical Temperature, and Zero Temperature Flipping in the 4D Kinetic Ising Model-Reference-Cited by-同舟云学术

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

Published:1997-04 Issue:02 Volume:08 Page:263-267
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Stauffer Dietrich¹,Adler Joan²

Affiliation:

1. Institute for Theoretical Physics, Cologne University, D-50923 Köln, Germany

2. Department of Physics, Technion, Haifa, 32000, Israel and Physics Department, Duke University, Durham, NC 27708-0305, USA

Abstract

We determine the critical temperature in the four-dimensional nearest-neighbor Ising model as J/kB Tc=0.149694±0.000002 from kinetic Monte Carlo simulations of up to 5764 spins. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183197000230

Reference7 articles.

1. DYNAMICAL CRITICAL BEHAVIOR OF THE FOUR-DIMENSIONAL ISING MODEL

2. A finite size scaling study of the five-dimensional Ising model

3. Critical dynamics of kinetic Ising models in four dimensions

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