Abstract
The seven-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattice with the linear dimension 4⩽ L⩽8. The exponents in the finite-size scaling relations for the magnetic susceptibility, the order parameter and the specific heat at the infinite-lattice critical temperature are computed to be 3.544(24), 3.505(55), 3.501(52), 1.78(64), 1.77(38), 1.76(46) and 0.02(11), 0.01(17), 0.01(16) using 4⩽ L⩽8 for 7,14 and 21 independent simulations, respectively. As the number of independent simulations increase, exponents are in very good agreement with the theoretical predictions of 7/2, 7/4 and 0, respectively. The values for the critical temperature of infinite lattice 12.870(12), 12.870(10), 12.869(3) and 12.871(15), 12.871(5), 12.871(5) are obtained from the straight line fit of the magnetic susceptibility maxima and the specific heat using 4⩽ L⩽8 for 7, 14, and 21 independent simulations, respectively. As the number of independent simulations increases, the obtained results are in very good agreement with the more precise value of 12.86902(33).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
