Geodesic
Zeroth-order phase transitions and Zipf law quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 118-142

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From the standpoint of thermodynamic averaging of fission microprocesses, we investigate the origin of radioactive release in an NPP after an accident or after resource depletion. The genesis of the NPP release is interpreted as a new thermodynamic phenomenon, a zeroth-order phase transition. This problem setting results in a problem in probabilistic number theory. We prove the corresponding theorem leading to quantization of the Zipf law for the frequency of a zeroth-order phase transition with different values of the jump of the Gibbs thermodynamic potential. We introduce the notion of hole dimension.
Mots-clés : Chernobyl NPP, quantization
Keywords: probabilistic number theory, Bose–Einstein distribution, Zipf law, thermodynamics, negative dimension. 
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     author = {V. P. Maslov},
     title = {Zeroth-order phase transitions and {Zipf} law quantization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {118--142},
     publisher = {mathdoc},
     volume = {150},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a6/}
}
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V. P. Maslov. Zeroth-order phase transitions and Zipf law quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 118-142. http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a6/