Abstract
Circumstances under which a quenched system will “freeze” in a metastable state are studied in simple systems with long-range order. The model used is the time-dependent pair approximation, based on the most probable path (MPP) method. The time dependence of the solution is shown by means of flow diagrams. The fixed points and other features of the differential equations in time are independent of the choice of the rate constants. It is explained qualitatively how the system behaves under varying descending temperatures: the role of the initial conditions, the dependence on the quenching rate, and the response to precooling.
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Meijer, P.H.E., Keskin, M. & Bodegom, E. A simple model for the dynamics towards metastable states. J Stat Phys 45, 215–232 (1986). https://doi.org/10.1007/BF01033088
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DOI: https://doi.org/10.1007/BF01033088