Seminários

 

12/07 - 5a feira - 11h00

Sala 429 - 4o andar da torre nova

 

Palestrante: Nami Svaiter (CBPF)

 

Titulo: A disordered  Landau-Ginzburg model

 

Resumo:

        We discuss a disordered  Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation,  the one-loop renormalization of this model is performed, in the leading order replica partition function.