Dynamics and thermodynamics of a simple model similar to
self-gravitating systems: the HMF model |
| |
Authors: | Email author" target="_blank">P H?ChavanisEmail author J?Vatteville F?Bouchet |
| |
Institution: | (1) Laboratoire de Physique Théorique, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France;(2) École Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon, France |
| |
Abstract: | We discuss the dynamics and thermodynamics of the
Hamiltonian Mean Field model (HMF) which is a prototypical system
with long-range interactions. The HMF model can be seen as the one
Fourier component of a one-dimensional self-gravitating
system. Interestingly, it exhibits many features of real
self-gravitating systems (violent relaxation, persistence of
metaequilibrium states, slow collisional dynamics, phase
transitions,...) while avoiding complicated problems posed by the
singularity of the gravitational potential at short distances and
by the absence of a large-scale confinement. We stress the deep
analogy between the HMF model and self-gravitating systems by
developing a complete parallel between these two systems. This
allows us to apply many technics introduced in plasma physics and
astrophysics to a new problem and to see how the results depend on
the dimension of space and on the form of the potential of
interaction. This comparative study brings new light in the
statistical mechanics of self-gravitating systems. We also mention
simple astrophysical applications of the HMF model in relation with
the formation of bars in spiral galaxies. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|