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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 1, Pages 118–142
DOI: https://doi.org/10.4213/tmf5969 (Mi tmf5969) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Zeroth-order phase transitions and Zipf law quantization

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (570 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf5969
Abstract: 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.
Keywords: Chernobyl NPP, probabilistic number theory, Bose–Einstein distribution, quantization, Zipf law, thermodynamics, negative dimension.
Received: 27.12.2005
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 1, Pages 102–122
DOI: https://doi.org/10.1007/s11232-007-0008-1
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Zeroth-order phase transitions and Zipf law quantization”, TMF, 150:1 (2007), 118–142; Theoret. and Math. Phys., 150:1 (2007), 102–122
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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