Nonextensive kinetic theory and H-theorem in general relativity
نویسندگان
چکیده
منابع مشابه
Force 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...
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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...
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The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational and rotational) scales characteristic of the motion of the observer. Thus general relativity is a consistent theory of coincidences so long as these involve...
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A long-standing problem in the kinetic theory of fluids at moderate and high densities is how to treat the effect of a range of molecular interaction that extends beyond the nearly impenetrable repulsive core that can reasonably be modeled as a hard-sphere core. The most obvious complications in this connection are as follows. First, for high densities, particles are most of the time interactin...
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.
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2017
ISSN: 0003-4916
DOI: 10.1016/j.aop.2017.08.027