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28 March 2024
 
  » arxiv » 1109.5934

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Statistical theory of quasi stationary states beyond the single water-bag case study
Mallbor Assllani ; Duccio Fanelli ; Alessio Turchi ; Timoteo Carletti ; Xavier Leoncini ;
Date 27 Sep 2011
AbstractAn analytical solution for the out-of-equilibrium quasi-stationary 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-levels water-bag. The comparison is shown to return an excellent agreement.
Source arXiv, 1109.5934
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