Axiomatic foundations of entropic theorems for hard-sphere systems

@article{50364,
   author = {Cremaschini, Claudio and Tessarotto, Massimo},
   article_location = {DE - Spolková republika Německo},
   article_number = {5},
   doi = {http://dx.doi.org/10.1140/epjp/i2015-15091-7},
   keywords = {kinetic theory; classical dynamical system; hard-sphere system},
   language = {eng},
   issn = {2190-5444},
   journal = {The European Physical Journal Plus},
   title = {Axiomatic foundations of entropic theorems for hard-sphere systems},
   url = {https://link.springer.com/article/10.1140/epjp/i2015-15091-7},
   volume = {130},
   year = {2015}
}

TY  - JOUR
ID  - 50364
AU  - Cremaschini, Claudio - Tessarotto, Massimo
PY  - 2015
TI  - Axiomatic foundations of entropic theorems for hard-sphere systems
JF  - The European Physical Journal Plus
VL  - 130
IS  - 5
SP  - "91-1"-"91-22"
EP  - "91-1"-"91-22"
SN  - 21905444
KW  - kinetic theory
KW  - classical dynamical system
KW  - hard-sphere system
UR  - https://link.springer.com/article/10.1140/epjp/i2015-15091-7
N2  - Following the recent establishment of an exact kinetic theory describing the statistical behavior of the Boltzmann-Sinai Classical Dynamical System and realized by the Master kinetic equation, in this paper the problem is posed of the construction of related appropriate entropic theorems. The same equation is proved to warrant, in particular, an exact constant H-theorem, referred to here as Master constant H-theorem, which holds for the 1-body (i.e., kinetic) Boltzmann-Shannon entropy. The relationshipwith the customary Boltzmann H-theorem holding for the Boltzmann equation and the physical origin of the related phenomenon of macroscopic irreversibility are investigated.
ER  - 

CREMASCHINI, Claudio a Massimo TESSAROTTO. Axiomatic foundations of entropic theorems for hard-sphere systems. \textit{The European Physical Journal Plus}. DE - Spolková republika Německo, 2015, roč.~130, č.~5, s.~''91-1''-''91-22'', 22 s. ISSN~2190-5444. Dostupné z: https://dx.doi.org/10.1140/epjp/i2015-15091-7.