Phase glass in coupled oscillators
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)Abstract
Two interacting oscillations show the phenomena of synchronization and we can get both in-phase
and anti-phase phase synchronization depending upon the type of interaction.
In a lattice of interacting oscillators if some of the interactions
favor in-phase synchronization while the others favor anti-phase
synchronization then there can be a conflicting situation leading
to frustration. We study this situation and show that we can get
a phenomena similar to the spin glasses in magnetism. We call this
behavior of coupled dynamical systems as a phase glass.
In the phase glass, there is a definite ordering of the phases.
Though the individual phases continue to evolve
dynamically the relative phases are frozen in time. We introduce a time
average order parameter and study the properties of this phase glass and the
transition to a para-state of unordered phases.