Màster Oficial en Física Avançada, , Facultat de Física, Universitat de Barcelona, Curs: 2015, Tutor: Eduard Vives i Santa-Eulalia
The two-dimensional zero-temperature Random Field Ising Model with local adiabatic relaxation
dynamics is studied. When externally driven, this model allows to analyse the properties of an
advancing front for different amounts of disorder. By imposing special forced boundary conditions
and allowing for systems with rectangular geometry, we favour the existence of a unique interface
which is the boundary of a 1d spanning avalanche. We show that the description of an advancing
front in terms of a univalued function x(y) lacks of a relevant contribution in the thermodynamic
limit: the existence of overhangs and islands which are characteristic of the nucleation and growth
dynamics