Another Checkpoint for Second Order Transitions Equivalent to the Checkpoint of Positive Definiteness and Incompatible Inequalities
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In the previous paper [JPSJ 47 (1979) 1773], the checkpoint of p<csitive defi-niteutess and incompatible inequalities was offered and applied to sex'eral transi-tions. In the present paper another checkpoint is offered and applied to the sametransitions. This checkpoint does not seek the eigenvalues of. the matrix(8"P/8Qj8Q,). of the ferroic in quesjion (where Q., Q.,? - =denote the transitionparameters ; 'P the thermodynamic potential function ; s "spontaneous"). Insteadit compares the second or higher order curvature of the P. of the ferroic: in questionwith those of all other maxiznal-rank ferroics. For all the above-menl:ioned tran-sitions the present checkpoint is found to give the same incompatil>le or com-patible inequalities and hence the same conclusions on orders as the previouscheckpoint gave.
- 1980-08-15
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