Projects per year

### Abstract

An analytical solution for the out-of-equilibrium quasistationary states of the paradigmatic Hamiltonian mean field (HMF) model can be obtained from a maximum entropy principle. The theory has been so far tested with reference to a specific class of initial condition, the so called (single-level) water-bag type. In this paper a step forward is taken by considering an arbitrary number of overlapping water bags. The theory is benchmarked to direct microcanonical simulations performed for the case of a two-level water-bag. The comparison is shown to return an excellent agreement. © 2012 American Physical Society.

Original language | English |
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Article number | 021148 |

Pages (from-to) | 021148 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 85 |

Issue number | 2 Pt 1 |

Publication status | Published - 2012 |

### Keywords

- Hamiltonian Mean Field
- quasi-stationary states
- dynamical systems
- long range interactions

## Fingerprint Dive into the research topics of 'Statistical theory of quasistationary states beyond the single water-bag case study'. Together they form a unique fingerprint.

## Projects

- 3 Finished

## to reinforce the Dynamical Systems Team at FUNDP

BOREUX, J., Carletti, T. & RIGHI, S.

1/01/09 → 31/12/11

Project: Research

## Long range interactions. The Hamiltonian Mean Field, a model system.

BOREUX, J. & Carletti, T.

1/10/08 → 30/09/14

Project: PHD

## New horizons for Dynamical Systems Research in Namur (FUNDP support to international collaboration)

1/01/06 → 31/12/08

Project: Research

## Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*85*(2 Pt 1), 021148. [021148].