Absence of thermalization for systems with long-range interactions coupled to a thermal bath

Pierre de Buyl*, Giovanni De Ninno, Duccio Fanelli, Cesare Nardini, Aurelio Patelli, Francesco Piazza, Yoshiyuki Y. Yamaguchi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate the dynamics of a small long-range interacting system, in contact with a large long-range thermal bath. Our analysis reveals the existence of striking anomalies in the energy flux between the bath and the system. In particular, we find that the evolution of the system is not influenced by the kinetic temperature of the bath, as opposed to what happens for short-range collisional systems. As a consequence, the system may get hotter also when its initial temperature is larger than the bath temperature. This observation is explained quantitatively in the framework of the collisionless Vlasov description of toy models with long-range interactions and shown to be valid whenever the Vlasov picture applies, from cosmology to plasma physics.. DOI: 10.1103/PhysRevE.87.042110

Original languageEnglish
Article number042110
Number of pages6
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Issue number4
Publication statusPublished - 15 Apr 2013



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