Stationary ordered non-equilibrium states of long-range interacting systems

Michael Joyce; Jules Morand; Pascal Viot

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arXiv · 1705.05623

Stationary ordered non-equilibrium states of long-range interacting systems

Michael Joyce·Jules Morand·Pascal Viot

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Abstract

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle number. We show here that, by applying a suitable perturbation operator for a finite time interval, we obtain, in a family of long-range systems, non-equilibrium states which appear to be strictly stationary. They exist even in the case of a harmonic potential, and are characterised by an ordered microscopic phase space structure. We give some simple heuristic arguments which predict reasonably well some properties of these states.

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Michael Joyce, Jules Morand, Pascal Viot. 2017-05-16. Stationary ordered non-equilibrium states of long-range interacting systems. https://arxiv.org/abs/1705.05623

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