Geodesic
Phase transitions in real gases and ideal Bose gases
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 295-310

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Based on number theory, we present a new concept of gas without the particle interaction taken into account in which there are first-order phase transitions for $T$ on isotherms. We present formulas for new ideal gases, solving the Gibbs paradox, and also formulas for the transition to real gases based on the concept of the Zeno line.
Keywords: first-order phase transition, phase transition of the second kind, Einstein paradox, gas mixture, cluster, ideal gas, Bose gas. 
@article{TMF_2011_167_2_a10,
     author = {V. P. Maslov},
     title = {Phase transitions in real gases and ideal {Bose} gases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {295--310},
     publisher = {mathdoc},
     volume = {167},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a10/}
}
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V. P. Maslov. Phase transitions in real gases and ideal Bose gases. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 295-310. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a10/