Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model

Details Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model

2004-08-05

arxiv.org/abs/cond-mat/0408117v2

Eur. Phys. J. B, 46, 61 (2005)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2005-00234-0

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.

Affiliated with

Also associated with

No associations

Rating

Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410105