Abstract
Systems with long-range interactions (LRI) display unusual thermodynamical and dynamical properties that stem from the non-additive character of the interaction potential. We focus in this work on the lack of relaxation to thermal equilibrium when a LRI system is started out-of-equilibrium. Several attempts have been made at predicting the so-called quasi-stationary state (QSS) reached by the dynamics and at characterizing the resulting transition between magnetized and non-magnetized states. We review in this work recent theories and interpretations about the QSS. Several theories exist but none of them has provided yet a full account of the dynamics found in numerical simulations.
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Notes
- 1.
Here, m y can be set equal to zero without loss of generality.
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Acknowledgements
The author would like to acknowledge interesting discussions and collaborations with R. Bachelard, G. De Ninno, D. Fanelli, P. Gaspard, D. Mukamel and S. Ruffo.
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de Buyl, P. (2013). Out-of-Equilibrium Dynamics in Systems with Long-Range Interactions: Characterizing Quasi-stationary States. In: Gilbert, T., Kirkilionis, M., Nicolis, G. (eds) Proceedings of the European Conference on Complex Systems 2012. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-00395-5_18
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DOI: https://doi.org/10.1007/978-3-319-00395-5_18
Publisher Name: Springer, Cham
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