The research subject is very outstanding and relevant in high temperature superconductivity physics. The authors analyze diverse superconductivity's phenomena by means of simulation techniques, using mainly Statistical Physics methods.

These results are not directly linked to the explanation of several experimental observations that were not previously approached in specialized literature. The most outstanding results are computational Monte Carlo technique, as well as percolation and cellular automaton techniques. All this instrumentation, allowed the authors studying diverse phenomena as thermal activation of superconductor vortexes, density dependence of superconductor critical current regarding its physical parameters. It is studied the avalanche in the superconductor's critical state, etc.

The authors were in search of computational simulation techniques given the extremely high complexity that new superconductor materials have. The import of "scaling" methods from critical phenomena to high temperature superconductivity, which is a completely novel method, is one the most important methodological results. This methodology is promising since, in principle, allows analyzing the statistic of a great number of events without detriment to its possible application, as for example, to the superconductivity of its high temperature. It is presented a wide volume of results that embrace the dependence of critical current density as temperature function, magnetic field applied and their relationship with their structure in the case of polycrystalline superconductors. It is also studied the anisotropy present in these types of materials and it is highlighted the dependence of critical current density with the system's geometry. Vortex dynamics is analyzed and scale laws are established. Lastly, it is carried out an incursion into avalanch dynamics' physics and its relationship with the auto-organized systems.

The results have been presented in 6 publications in specialized magazines with arbitration. All the articles are published in physics’ prestigious magazines, reflecting the quantity and quality of the scientific works carried out in this subject during 4 years.