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Disorder and competition in network models - exact results

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Author(s):
Masayuki Oka Hase
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Silvio Roberto de Azevedo Salinas; Domingos Humberto Urbano Marchetti; Daniel Adrián Stariolo; Alba Graciela Rivas de Theumann; Walter Felipe Wreszinski
Advisor: Silvio Roberto de Azevedo Salinas
Abstract

Exact results are established for two distinct works. The first of them is an analysis of Langevin dynamics for a mean spherical model with competiting interactions, searching for non-equilibrium phenomena as aging and the violation of the fluctuation-dissipation theorem. The second work is a contribution to the ground state\'s phase diagram of a diluted ferromagnet under a random external field obeying a bimodal distribution; an analytic study, although partial, indicates a stability of the replica-symmetric solution. (AU)