scholarly journals Attractor nonequilibrium stationary states in perturbed long-range interacting systems

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Michael Joyce ◽  
Jules Morand ◽  
Pascal Viot
Open Physics ◽  
2012 ◽  
Vol 10 (3) ◽  
Author(s):  
Bruno Marcos ◽  
Andrea Gabrielli ◽  
Michael Joyce

AbstractSystems of particles interacting with long range interactions present generically ”quasi-stationary states” (QSS), which are approximately time-independent out of equilibrium states. In this proceedings, we explore the generalization of the formation of such QSS and their relaxation from the much studied case of gravity to a generic pair interaction with the asymptotic form of the potential v(r) ∼ 1/r γ with γ > 0 in d dimensions. We compute analytic estimations of the relaxation time calculating the rate of two body collisionality in a virialized system approximated as homogeneous. We show that for γ < (d − 1/2), the collision integral is dominated by the size of the system, while for γ > (d − 1/2), it is dominated by small impact parameters. In addition, the lifetime of QSS increases with the number of particles if γ < d − 1 (i.e. the force is not integrable) and decreases if γ > d − 1. Using numerical simulations we confirm our analytic results. A corollary of our work gives a ”dynamical” classification of interactions: the dynamical properties of the system depend on whether the pair force is integrable or not.


2012 ◽  
Vol 2012 (01) ◽  
pp. L01002 ◽  
Author(s):  
Cesare Nardini ◽  
Shamik Gupta ◽  
Stefano Ruffo ◽  
Thierry Dauxois ◽  
Freddy Bouchet

2007 ◽  
Vol 381 ◽  
pp. 143-147 ◽  
Author(s):  
Constantino Tsallis ◽  
Andrea Rapisarda ◽  
Alessandro Pluchino ◽  
Ernesto P. Borges

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
T. Botzung ◽  
D. Hagenmüller ◽  
G. Masella ◽  
J. Dubail ◽  
N. Defenu ◽  
...  

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