Abstract
The pseudo critical slowing down phenomenon reported for an order-disordertransition of the first order is reproduced by the path probability methodcalculations on a L10 ordered phase. The slowing down takes place towardsthe instability temperature of the metastable ordered phase ratherthan the transition temperature. In order to clarify the thermodynamicorigin of the pseudo critical slowing down, the temperature dependency ofgeneralized susceptibilities are calculated for the L10 ordered phase as afunction of v2,2/v2,1, where v2,n is the nthnearest neighbour effective pair interaction energy. The diverging behaviouris observed towards the instability temperature through the transitiontemperature. This is pronounced, as the second-order character is emphasized.It is confirmed that the pseudo-critical slowing down phenomenon is caused bythe flattening of the free energy surface, leading to the loss of thethermodynamic driving force for relaxation. The first-principles calculationof the susceptibility is attempted for Cu-Au system at a 1:1 stoichiometriccomposition. A sharp rise is confirmed near the transition temperature.
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