Conservative force fields in nonextensive kinetic theory

J.A.s Lima, J.r Bezerra and R Silva

Physica A: Statistical Mechanics and its Applications, 2002, vol. 316, issue 1, 289-296

Abstract: We investigate the nonextensive q-distribution function for a gas in the presence of an external field of force possessing a potential U(r). In the case of a dilute gas, we show that the power-law distribution including the potential energy factor term can rigorously be deduced based on kinetic theoretical arguments. This result is significant as a preliminary to the discussion of long-range interactions according to nonextensive thermostatistics and the underlying kinetic theory. As an application, the historical problem of the unbounded isothermal planetary atmospheres is rediscussed. It is found that the maximum height for the equilibrium atmosphere is zmax=KBT/mg(1−q). In the extensive limit, the exponential Boltzmann factor is recovered and the length of the atmosphere becomes infinite.

Keywords: Nonextensive statistics; Kinetic theory; Power laws (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:316:y:2002:i:1:p:289-296

DOI: 10.1016/S0378-4371(02)01314-6

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