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.

Statistical theory of quasistationary states beyond the single water-bag case study / Mallbor Assllani1; Duccio Fanelli; Alessio Turchi; Timoteo Carletti; Xavier Leoncini. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 85:(2012), pp. 021148-1-021148-7.

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

FANELLI, DUCCIO;
2012

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
85
021148-1
021148-7
Mallbor Assllani1; Duccio Fanelli; Alessio Turchi; Timoteo Carletti; Xavier Leoncini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/657159
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