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Abstract
An analytical solution for the outofequilibrium 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 (singlelevel) waterbag 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 twolevel waterbag. The comparison is shown to return an excellent agreement. © 2012 American Physical Society.
Original language  English 

Article number  021148 
Pages (fromto)  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
 quasistationary states
 dynamical systems
 long range interactions
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Dive into the research topics of 'Statistical theory of quasistationary states beyond the single waterbag 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