10-14 July 2016
Africa/Johannesburg timezone
Paper Submission is Open!! Registration for CCP2016 Conference will be open at the registration desk @ St. George's Hotel reception area on Sunday 10 July / Welcome Dinner at 18:30 SAST.

The SAPBC method on local, non-cluster updates algorithms of Monte Carlo simulation: A study on more convergence of spin correlation at critical temperature

11 Jul 2016, 16:30
1h
Spartan 1

Spartan 1

Board: 060
Poster Presentation Poster Session

Speaker

Mr Amin Najafi (Department of Physics, Zanjan University, P.O. Box 45196-313, Zanjan, Iran)

Abstract content <br> &nbsp; (Max 300 words)<br><a href="http://events.saip.org.za/getFile.py/access?resId=0&materialId=0&confId=34" target="_blank">Formatting &<br>Special chars</a>

Here, we work out the computational technique of Screw-Antisymmetric PeriodicBoundary condition (SAPBC Method) on local, non-cluster update algorithms of Isotropic nn square lattice Ising model of Monte Carlo Simulations as well. The SAPBC Method, actually, is an extended mixed method of Screw (helical) and Antisymmetric periodic boundary conditions beyond connection from of nearest neighbor spin of the main lattice to even far away block of the outer (foreign) neighbor spin arrays.In the project,Meanwhile of description of geometry exact details of method and way of spin interaction, have applied to critical slowing down in order to achieve more convergence of spin correlation at critical temperature. Actually, in general, at critical temperature algorithms performed by using SAPBC Method have faster correlation and much shorter autocorrelation time than algorithms performed by using PBC Method. We will also see that Autocorrelation function for the typewriter Metropolis algorithm was found to be zero at high temperatures. For low temperatures it fell to zero and stayed there. The SAPBC Method also confirms and consists with the law of the spatial correlation length with its dynamical critical exponent. Therefore, it can be used as a trenchant method applied to boundary conditions of Monte Carlo simulation problems extending on a variety of other models such as XY-Pots-Heisenberg model and also cluster algorithms such as Wolf, Swendsen-Wangas, Hoshen-Koppelman as well.

Primary author

Mr Amin Najafi (Department of Physics, Zanjan University, P.O. Box 45196-313, Zanjan, Iran)

Co-author

Prof. Amir Hossein Darooneh (Department of Physics, Zanjan University, P.O. Box 45196-313, Zanjan, Iran)

Presentation Materials