Erratum to: Thermophysical Properties of Liquid Aluminum

Thermal hysteresis of mesoscopic phase transitions in fluid metals: From tantalum to aluminum and gold with their critical points and non-mean-field global diagrams

“…Al is an example of widely-studied by static and dynamic experiments at low and moderate temperatures metal [8,13,15]. Hence the discrepancies in the reported estimates of critical parameters for it are still unacceptably large.…”

“…reported by Zhang et al [32], demonstrates their essential inconsistency in the different databases. To avoid any exclusions based on judgement or adjustment, we have tested for Al both inherently inconsistent pairs estimates including ones in [13] (Table 1) and [24] (Table 2) nor the rather sophisticated PCS-correlations [21,22,30,31] for the cohesive energy are able to solve the task of choice. The claimed PCS-prediction of an a priori unknown set of critical parameters on the base of density measurements exclusively in a lowtemperature liquid is not possible or hardly realizable.…”

“…The formulated concept of mesoscopic irreversibility questions not the experimental IEX-data themselves, but their thermostatic locallyequilibrium (LE)interpretation. For readers not yet familiar with the set of dynamic ultrafast techniques [7][8][9][10][11][12][13][14] including the accepted fit of thermophysical data, the seminal consideration of relevant tasks and limitations reported in [9,10] could be useful. The problem of the magneto-hydrodynamic (mhd)instability manifested by the sharp growth of electrical resistivity and the concomitant too high specific heat capacity for transition metals   6 to 7 for Ta…”

“…was posed long ago and remains unsolvable until now. Besides, the consistency of reported static measurements of Al [15] for example, with its fast dynamic IEX-experiments [13] needs a refinement even in the close vicinity of melting m T  point.…”

“…For metals this vacuum is located far beyond the scope of predictive capability for the typical unified semi-empirical mf-EOS [23][24][25][26][27][28][29]. One of the apparent reasons for such failure is often noted at the discussion of IEX-data [7][8][9][10][11][12][13][14]. Its purpose is to explain the negligible effect of pressure-related deviations in density   In Section 2 the general features of the alternative non-mean-field origin of mhd-instability inserted into the conventional IEX-formalism are outlined.…”