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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2012

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

Résumé

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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Dates et versions

hal-00687966 , version 1 (11-09-2023)

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Citer

Mallbor Assllani, Duccio Fanelli, Alessio Turchi, T. Carletti, Xavier Leoncini. Statistical theory of quasi stationary states beyond the single water-bag case study. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85, pp.021148. ⟨10.1103/PhysRevE.85.021148⟩. ⟨hal-00687966⟩
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