Jeans' criterion and nonextensive velocity distribution function in kinetic theory
نویسندگان
چکیده
منابع مشابه
Jeans’ gravitational instability and nonextensive kinetic theory
The concept of Jeans gravitational instability is rediscussed in the framework of nonextensive statistics and its associated kinetic theory. A simple analytical formula generalizing the Jeans criterion is derived by assuming that the unperturbed self-gravitating collisionless gas is kinetically described by the q-parameterized class of power law velocity distributions. It is found that the crit...
متن کاملA Maxwellian Path to the q-Nonextensive Velocity Distribution Function
Maxwell’s first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q-statistics proposed by Tsallis. As an application, the q-Doppler broadening of spectral lines due to the random thermal motion of the radiating atoms is derived. 05.45.+b; 05.20.-y; 05.90.+m Typeset using REVTEX ∗[email protected] †[email protected]...
متن کاملForce Fields in Nonextensive Kinetic Theory
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 i...
متن کاملComment on Conservative force fields in nonextensive kinetic theory
We discuss an improper application of the Maxwell-Boltzmann theory to a very unrealistic model. The authors of the original paper claim that a generalized theory would solve a problem that really does not exists. This Comment was submited to Physica A and was not accepted as it is.
متن کاملKinetic Theory of the Presheath and the Bohm Criterion
A kinetic theory of the Bohm criterion is developed that is based on positiveexponent velocity moments of the plasma kinetic equation. This result is contrasted with the conventional kinetic Bohm criterion that is based on a v−1 moment of the Vlasov equation. The salient difference between the two results is that low velocity particles dominate in the conventional theory, but are essentially un...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 2004
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2003.11.047