Supercritical anomalies and the~Widom line for the~isostructural phase transition in solids
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 175-184
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The representation of the Widom line as a line of maximums of the correlation length and a series of thermodynamic response functions above the critical point were introduced to describe anomalies observed in water above the hypothetical critical point of the liquid–liquid transition. The supercritical region for the gas–liquid transition was also described later in terms of the Widom line. It is natural to assume that an analogue of the Widom line also exists in the supercritical region for the first-order isostructural transition in crystals, which ends at a critical point. We use a simple semiphenomenological model, close in spirit the van der Waals theory, to study the properties of the new Widom line. We calculate the thermodynamic response functions above the critical point of the isostructural transition and find their maximums determining the Widom line positions.
Keywords:
isostructural transition, supercritical region, thermodynamic quantity anomaly, Widom line.
@article{TMF_2018_194_1_a9,
author = {E. E. Tareyeva and Yu. D. Fomin and E. N. Tsyok and V. N. Ryzhov},
title = {Supercritical anomalies and {the~Widom} line for the~isostructural phase transition in solids},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {175--184},
publisher = {mathdoc},
volume = {194},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a9/}
}
TY - JOUR AU - E. E. Tareyeva AU - Yu. D. Fomin AU - E. N. Tsyok AU - V. N. Ryzhov TI - Supercritical anomalies and the~Widom line for the~isostructural phase transition in solids JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2018 SP - 175 EP - 184 VL - 194 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a9/ LA - ru ID - TMF_2018_194_1_a9 ER -
%0 Journal Article %A E. E. Tareyeva %A Yu. D. Fomin %A E. N. Tsyok %A V. N. Ryzhov %T Supercritical anomalies and the~Widom line for the~isostructural phase transition in solids %J Teoretičeskaâ i matematičeskaâ fizika %D 2018 %P 175-184 %V 194 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a9/ %G ru %F TMF_2018_194_1_a9
E. E. Tareyeva; Yu. D. Fomin; E. N. Tsyok; V. N. Ryzhov. Supercritical anomalies and the~Widom line for the~isostructural phase transition in solids. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 175-184. http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a9/