Liouville equation and the q-statistical formalism

A.r Plastino, C Giordano, A Plastino and M Casas

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 3, 376-390

Abstract: We revisit some aspects of the foundations of the q-non-extensive thermostatistical formalism, which are particularly relevant to its astronomical applications. We analyse some important features of escort mean values and escort distributions, in connection with the dynamical evolution of ensemble probability distributions associated with the statistical description of general classical dynamical systems. Furthermore, we compare the roles played by escort mean values and escort distributions when studying classical N-body systems at the levels of (i) the Liouville equation and (ii) the Vlasov equation.

Keywords: Information theory; Classical fluids; Non linear dynamics (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:3:p:376-390

DOI: 10.1016/j.physa.2003.12.053

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