We study the phase diagram of glassy systems in the presence of an attractive coupling among real replicas. We find competition among a localized and a delocalized phase, that are separated by a coexistence line as in ordinary first-order phase transitions. The coexistence line terminates in a...

Solitary wave solutions exhibited at the onset of the phase transition in fluidized granular matter are perused. In the quasi-sonic limit the system is modeled by two Korteweg de Vries equations. We study the solitary wave interactions in order to understand the rich dynamics exhibited by the...

The phase fluctuation near the saddle point solution of the XY-type Landau–Ginzburg–Wilson Hamiltonian with random temperature is studied. Through some examples, it is argued that the systems are self-organized into blocks, which are coupled as a XY model with random bond. The couplings...