Abstract
Within a microcanonical scenario we numerically study an -sized linear chain classical inertial model including ferromagnetic couplings which decrease with distance as ( ). We show that for (thermodynamic limit): (i) The energy per particle scales like ; (ii) The properly scaled maximum Lyapunov exponent tends, for above a threshold, to zero for and only for . These results are analogous to those observed in low-dimensional and in self-organized critical dissipative systems. This entire picture suggests a connection with the nonextensive thermostatistics recently introduced by one of us.
- Received 22 January 1998
DOI:https://doi.org/10.1103/PhysRevLett.80.5313
©1998 American Physical Society