Les Jeans

The Jeans Mechanism and Bulk-viscosity Effects

In this paper we study the gravitational instability in presence of viscosity. In particular, the standard Jeans Mechanism is analyzed taking into account bulk-viscosity effects in the first-order Newtonian dynamics. We show how the perturbation evolution is damped by dissipative processes and the top-down fragmentation mechanism is suppressed for strong viscous effects. The critical value of t...

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...

Relaxation, the Boltzmann-Jeans conjecture, and chaos.

Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponential of the square root of the energy of excitation, in agreement with the Boltzmann-Jeans conjecture, while it is found to be inversely proportional to residual Kolmogorov-Sinai entropy, introduced in this Rapid Commun...

Les maladies causées par les anaérobies pathogènes sporulés chez les animaux domestiques

Les Rotations Et Les Quaternions

La construction du corps non commutatif H de quaternions est une variante plus compliquée de la construction du corps commutatif C de nombres complexes. Donc on commence en rappelant la construction de C à partir de R. Les nombres complexes s’écrivent a+ bi avec a, b ∈ R. Donc C est un espace vectoriel sur R de dimension 2 avec base {1, i}. La loi d’addition de C est celle que C possède en tant...