CREMASCHINI, Claudio and Massimo TESSAROTTO. Axiomatic foundations of entropic theorems for hard-sphere systems. The European Physical Journal Plus. DE - Spolková republika Německo, 2015, vol. 130, No 5, p. "91-1"-"91-22", 22 pp. ISSN 2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2015-15091-7. |
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@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 and Massimo TESSAROTTO. Axiomatic foundations of entropic theorems for hard-sphere systems. \textit{The European Physical Journal Plus}. DE - Spolková republika Německo, 2015, vol.~130, No~5, p.~''91-1''-''91-22'', 22 pp. ISSN~2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2015-15091-7.
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