Replica-symmetry breaking in dynamical glasses |
| |
Authors: | SC Manrubia U Bastolla AS Mikhailov |
| |
Institution: | (1) Centro de Astrobiologıa, Instituto Nacional de Técnica Aeroespacial. Ctra. de Ajalvir Km.4, 28850 Torrejón de Ardoz, Madrid, Spain, ES;(2) Fritz-Haber-Institut der Max Planck Gesellschaft, Faradayweg 4-6, 14129 Berlin, Germany, DE |
| |
Abstract: | Systems of globally coupled logistic maps (GCLM) can display complex collective behaviour characterized by the formation of
synchronous clusters. In the dynamical clustering regime, such systems possess a large number of coexisting attractors and
might be viewed as dynamical glasses. Glass properties of GCLM in the thermodynamical limit of large system sizes N are investigated. Replicas, representing orbits that start from various initial conditions, are introduced and distributions
of their overlaps are numerically determined. We show that for fixed-field ensembles of initial conditions all attractors
of the system become identical in the thermodynamical limit up to variations of order 1/, and thus replica symmetry is recovered for N→∞. In contrast to this, when fluctuating-field ensembles of initial conditions are chosen, replica symmetry remains broken
in the thermodynamical limit.
Received 9 July 2001 |
| |
Keywords: | PACS 05 45 -a Nonlinear dynamics and nonlinear dynamical systems – 05 45 Xt Synchronization coupled oscillators – 75 10 Nr Spin-glass and other random models |
本文献已被 SpringerLink 等数据库收录! |
|