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

Malbor Asllani; Duccio Fanelli; Alessio Turchi; Timoteo Carletti; Xavier Leoncini

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

Malbor Asllani, Duccio Fanelli, Alessio Turchi, Timoteo Carletti, Xavier Leoncini

Namur Institute for Complex Systems

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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 American Physical Society.

Original language	English
Article number	021148
Pages (from-to)	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
quasi-stationary states
dynamical systems
long range interactions

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PRE 85 2012pp021148Final published version, 342 KB

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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. {\textcopyright} 2012 American Physical Society.",

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AU - Leoncini, Xavier

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KW - quasi-stationary states

KW - dynamical systems

KW - long range interactions

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

Abstract

Keywords

Access to Document

Other files and links

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to reinforce the Dynamical Systems Team at FUNDP

Long range interactions. The Hamiltonian Mean Field, a model system.

New horizons for Dynamical Systems Research in Namur (FUNDP support to international collaboration)

Cite this

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

to reinforce the Dynamical Systems Team at FUNDP

Long range interactions. The Hamiltonian Mean Field, a model system.

New horizons for Dynamical Systems Research in Namur (FUNDP support to international collaboration)

Cite this