Evidence of Invariance of Time Scale at Critical Point in Ising Meanfield Equilibrium Equation of State  

作　　者：Muktish Acharyya Ajanta Bhowal Acharyya 

机构地区：[1]Department of Physics,Presidency University,86/1 College Street Calcutta-700073,India [2]Department of Physics,Lady Brabourne College,P-1/2 Suhrawardy Avenue,Calcutta-700017,India

出　　处：《Communications in Theoretical Physics》2011年第6期1109-1112,共4页理论物理通讯（英文版）

摘　　要：We solve the equilibrium meanfield equation of state of Ising ferromagnet （obtained from Bragg-Williams theory） by Newton-Raphson method. The number of iterations required to get a convergent solution （within a specified accuracy） of equilibrium magnetisation, at any particular temperature, is observed to diverge in a power law fashion as the temperature approaches the critical value. This is identified as the critical slowing down. The exponent is also estimated. This value of the exponent is compared with that obtained from analytic solution. Besides this, the numerical results are also compared with some experimental results exhibiting satisfactory degree of agreement. It is observed from this study that the information of the invariance of time scale at the critical point is present in the meanfield equilibrium equation of state of Ising ferromagnet.

关 键 词：Ising model meanfield theory Newton-Raphson method relaxation time critical slowing down 

分 类 号：O481[理学—固体物理]