On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem

@article{50306,
   author = {Cremaschini, Claudio and Tessarotto, Marco and Tessarotto, Massimo},
   article_location = {DE - Spolková republika Německo},
   article_number = {3},
   doi = {http://dx.doi.org/10.1140/epjp/i2013-13032-2},
   keywords = {Statistical mechanics; Information theory},
   issn = {2190-5444},
   journal = {European Physical Journal Plus},
   title = {On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem},
   url = {https://link.springer.com/article/10.1140/epjp/i2013-13032-2},
   volume = {128},
   year = {2013}
}

TY  - JOUR
ID  - 50306
AU  - Cremaschini, Claudio - Tessarotto, Marco - Tessarotto, Massimo
PY  - 2013
TI  - On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem
JF  - European Physical Journal Plus
VL  - 128
IS  - 3
SN  - 21905444
KW  - Statistical mechanics
KW  - Information theory
UR  - https://link.springer.com/article/10.1140/epjp/i2013-13032-2
N2  - In this paper the problem is posed of the formulation of the so-called ab initio approach to the statistical description of the Boltzmann-Sinai N-body classical dynamical system (CDS) formed by identical smooth hard spheres. This amounts to introducing asuitably generalized version of the axioms of Classical Statistical Mechanics. The latter involve a proper definition of the functional setting for the N-body probability density function (PDF), so that it includes also the case of the deterministic N-body PDF. In connection with this issue, a further development concerns the introduction of modified collision boundary conditions which differ from the usual ones adopted in previous literature. Both features are proved to be consistent with the validityof exact H-theorems for the N-body and 1-body PDFs, respectively. Consequences of the axiomatic approach which concern the conditions of validity of the Boltzmann kinetic equation and the Boltzmann H-theorem are investigated. In particul
ER  - 

CREMASCHINI, Claudio, Marco TESSAROTTO and Massimo TESSAROTTO. On the conditions of validity of the Boltzmann equation and Boltzmann H-theorem. \textit{European Physical Journal Plus}. DE - Spolková republika Německo, 2013, vol.~128, No~3, 20 pp. ISSN~2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2013-13032-2.