Subcritical jump probability and anomalous order parameter autocorrelations

We study the magnetization dynamics in finite 2D and 3D Ising lattices of size N for temperatures T just below the pseudo-critical temperature T pc ( N ) when the free energy, as a function of the mean magnetization M , possesses doubly degenerate minima at . We calculate the jump probability P LR b...

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Bibliographic Details
Published in:Europhysics letters 2022-10, Vol.140 (1), p.11002
Main Authors: Diakonos, F. K., Contoyiannis, Y. F., Potirakis, S. M.
Format: Article
Language:English
Subjects:
Critical temperature
Free energy
Ising model
Magnetization
Order parameters
Subspaces
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Summary:We study the magnetization dynamics in finite 2D and 3D Ising lattices of size N for temperatures T just below the pseudo-critical temperature T pc ( N ) when the free energy, as a function of the mean magnetization M , possesses doubly degenerate minima at . We calculate the jump probability P LR between the microstate-subspaces with M   0 ( R ). We find a universal law for the decay of P LR as a function of . We show that for a given simulation time there is a temperature below which the mean number of jumps becomes less than . Below the two microstate-subspaces become practically disconnected. We observe an anomalous enhancement of the magnetization autocorrelations for T approaching which can be explained as a transition from type I (at ) to on-off (at ) intermittency in the magnetization effective dynamics. Possible phenomenological implications of this behaviour are briefly discussed.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/ac9158