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arXiv · 1109.5934

Statistical theory of quasi stationary states beyond the single water-bag case study

Mallbor Assllani·Duccio Fanelli·Alessio Turchi·Timoteo Carletti·Xavier Leoncini
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Abstract

An 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.

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Mallbor Assllani, Duccio Fanelli, Alessio Turchi, Timoteo Carletti, Xavier Leoncini. 2011-09-27. Statistical theory of quasi stationary states beyond the single water-bag case study. https://doi.org/10.1103/physreve.85.021148

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