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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 1, Pages 100–112
DOI: https://doi.org/10.4213/tmf81 (Mi tmf81) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An Algebraic Method for the Exact Solution of the Partition Function of the Canonical Ensemble in Nuclear Multifragmentation

A. S. Parvanab

a Joint Institute for Nuclear Research
b Institute of Applied Physics Academy of Sciences of Moldova
Full-text PDF (229 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf81
Abstract: We propose a unified method for deducing recursive relations for the canonical partition function of a system of noninteracting particles with charge conservation if the particles follow the Bose–Einstein, Fermi–Dirac, or Maxwell–Boltzmann statistics or parastatistics. For all these types of statistics, we find recursive relations for the partition function of a new statistical model of nuclear multifragmentation with electric charge and baryon number conservation, accounting for the internal degrees of freedom of the nuclear fragments.
Keywords: canonical partition function, quantum statistics, recursive relations, nuclear multifragmentation.
Received: 12.03.2003
Revised: 09.07.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 1, Pages 977–986
DOI: https://doi.org/10.1023/B:TAMP.0000033034.38474.cc
Bibliographic databases:
Language: Russian
Citation: A. S. Parvan, “An Algebraic Method for the Exact Solution of the Partition Function of the Canonical Ensemble in Nuclear Multifragmentation”, TMF, 140:1 (2004), 100–112; Theoret. and Math. Phys., 140:1 (2004), 977–986
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf81
  • https://doi.org/10.4213/tmf81
  • https://www.mathnet.ru/eng/tmf/v140/i1/p100
    • This publication is cited in the following 3 articles:
    1. Parvan A.S., Bhattacharyya T., “Remarks on the Phenomenological Tsallis Distributions and Their Link With the Tsallis Statistics”, J. Phys. A-Math. Theor., 54:32 (2021), 325004  crossref  mathscinet  isi
    2. Parvan A.S., “Critique of multinomial coefficients method for evaluating Tsallis and Renyi entropies”, Physica a-Statistical Mechanics and its Applications, 389:24 (2010), 5645–5649  crossref  mathscinet  adsnasa  isi  scopus  scopus
    3. Toneev VD, Parvan AS, “Canonical strangeness and distillation effects in hadron production”, Journal of Physics G-Nuclear and Particle Physics, 31:7 (2005), 583–597  crossref  adsnasa  isi  scopus  scopus
    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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    Abstract page:371
    Full-text PDF :180
    References:65
    First page:1
     
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