2013/09/30 by Michael Joyce, Jules Morand, François Sicard +1 · 13 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Complex Systems and Time Series Analysis #Dissipation #Hamiltonian (control theory) #Kinetic energy #Kinetic theory #Mathematics #Physics #Quantum mechanics #Range (aeronautics) #Scaling #Statistical Mechanics and Entropy #Statistical physics #Theoretical physics #astro-ph.CO #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.112.070602
published in Physical Review Letters 112(7), 070602 (American Physical Society) · 5 pages, 3 figures, to appear in Phys. Rev. Lett
arxiv created 2014/01/15 · openalex publication_date 2014/02/20 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Hamiltonian systems with long-range interactions give rise to long-lived out-of-equilibrium macroscopic states, so-called quasistationary states. We show here that, in a suitably generalized form, this result remains valid for many such systems in the presence of dissipation. Using an appropriate mean-field kinetic description, we show that models with dissipation due to a viscous damping or due to inelastic collisions admit "scaling quasistationary states," i.e., states that are quasistationary in rescaled variables. A numerical study of one-dimensional self-gravitating systems confirms the relevance of these solutions and gives indications of their regime of validity in line with theoretical predictions. We underline that the velocity distributions never show any tendency to evolve towards a Maxwell-Boltzmann form.