Damage spreading on the 3-12 lattice with competing Glauber and Kawasaki dynamics

Pramana

Z Z Guo1¹  Xiao-Wei Wu²  Chun-An Wang¹ 

[1] Department of Physics, Inner Mongolia Normal University, Huhhot 010022, China$$;School of Science, Inner Mongolia Agriculture University, Huhhot 010018, China$$

关键词: Ising model;    damage spreading;    Glauber dynamics;    Kawasaki dynamics;    bond dilution.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The damage spreading of the Ising model on the 3-12 lattice with competing Glauber and Kawasaki dynamics is studied. The difference between the two kinds of nearest-neighboring spin interactions (interaction between two 12-gons, or interaction between a 12-gon and a triangle) are considered in the Hamiltonian. It is shown that the ratio of the interaction strength 𝐹 between the two kinds of interactions plays an important role in determining the critical temperature 𝑇d of phase transition from frozen to chaotic. Two methods are used to introduce the bond dilution on the Ising model on the 3-12 lattice: regular and random. The maximum of the average damage spreading $langle D angle_{ext{max}}$ can approach values lower than 0.5 in both cases and the reason can be attributed to the `survivors' among the spins. We have also, for the first time, presented the phase diagram of the mixed G–K dynamics in the 3-12 lattice which shows what happens when going from pure Glauber to pure Kawasaki.

【 授权许可】

Unknown