1997/07/31 by Vito Latora, Andrea Rapisarda, Stefano Ruffo · 1 citation
Physics and Astronomy · #chao-dyn #cond-mat #hep-th #nlin.CD #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevlett.80.692
published as Phys.Rev.Lett. 80 (1998) 692-695 · 5 pages, Revtex, 3 figures included. Both text and figures have been changed. New Version accepted for publication in Physical Review Letters
arxiv created 1997/11/24 · arxiv updated 2009/11/30
We study the largest Lyapunov exponent λ and the finite size effects of a system of N fully-coupled classical particles, which shows a second order phase transition. Slightly below the critical energy density Uc, λ shows a peak which persists for very large N-values (N=20000). We show, both numerically and analytically, that chaoticity is strongly related to kinetic energy fluctuations. In the limit of small energy, λ goes to zero with a N-independent power law: λ∼ √(U). In the continuum limit the system is integrable in the whole high temperature phase. More precisely, the behavior λ∼ N-1/3 is found numerically for U > Uc and justified on the basis of a random matrix approximation.