Critical Dynamics and Cluster Dynamics of the 3D ±J Ising Spin-Glass Model in Its 'Griffiths Phase'
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Non-exponential slow dynamics in the 'Griffiths phase' of the three-dimensional (3D) #J Ishngspin-glass model is studied by means of Monte Carlo sirnulation. The distribution of relaxationtimes averaged over samples, P(x) with x : 1117, is calculated from spin auto-correlation functions simulated. It is found that P(.r) consists of two branches. The cross-over value betweenthe branches, x., diverges as T + T., T. being the spin-glass transition temperature. Therefore'7'. (: e" ) is regarded as the critical relaxation time associated with the onset of the spin-glassorder at T., and the branch of P(x) at I< x. is interpreted due to the ordinary critical slowingdown process (critical dynamics). The other branch at x >x. causes the unusual slow dynamicspeculiar to spin glasses. Variotus aspects of Par) of this branch examined are consistent with thefollowing picture; compact regions with less frustrations than the system as a whole are therznallyfluctuating with very srnall frequencies, and independently of each others (cluster dynamics).
- 社団法人日本物理学会の論文
- 1997-05-15
社団法人日本物理学会 | 論文
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