Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems

Ch. Antonopoulos, T. Bountis and V. Basios

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 20, 3290-3307

Abstract: We study numerically statistical distributions of sums of chaotic orbit coordinates, viewed as independent random variables, in weakly chaotic regimes of three multi-dimensional Hamiltonian systems: Two Fermi-Pasta-Ulam (FPU-β) oscillator chains with different boundary conditions and numbers of particles and a microplasma of identical ions confined in a Penning trap and repelled by mutual Coulomb interactions. For the FPU systems we show that, when chaos is limited within “small size” phase space regions, statistical distributions of sums of chaotic variables are well approximated for surprisingly long times (typically up to t≈106) by a q-Gaussian (1Keywords: Nonextensive statistical mechanics; q-Gaussian distributions; ‘‘Edge of chaos”; Weak chaos; Quasi-stationary states; Multi-dimensional Hamiltonian systems (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:20:p:3290-3307

DOI: 10.1016/j.physa.2011.05.026

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