Abstract
Let us now draw some conclusions for the two-dimensional Ising model with short range random interactions and a relaxational dynamics:
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The model describes experiments qualitatively
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It has no static transition
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Nevertheless in the field H, temperature T and observation time t diagram, Fig. 6, there is a rather well defined surface below which spin glass behaviour is observed. This surface is rather singular, since one finds Tf(H=0,t)∼(ℓnt)−1/2 and Tf(H,t)−Tf(0,t) ∼H2/3
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Below Tf(H,t) the spins freeze into small completely frozen clusters, the rest seems to remain in thermal equilibrium
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The freezing process can be described by a dynamics of small decoupled clusters
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The model even reproduces recent experiments which favour a static phase transition
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Only at T=0 one has a phase transition with scaling laws
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Also experimental data are not inconsistent with T=0 scaling
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The low lying metastable states do not have the structure of the mean field states
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References
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Kinzel, W. (1984). Static and dynamic properties of short range Ising spin glasses. In: Pękalski, A., Sznajd, J. (eds) Static Critical Phenomena in Inhomogeneous Systems. Lecture Notes in Physics, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13389-0_7
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DOI: https://doi.org/10.1007/3-540-13389-0_7
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