Baró Urbea, JordiNicolás Noguerol, Alejandro2025-09-162025-09-162025-06https://hdl.handle.net/2445/223183Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Jordi Baró UrbeaIn this paper, I study avalanches in a mean-field spring-block model to simulate earthquake dynamics. The model is implemented in Fortran90, and the equations of motion are solved using a fourth-order Runge-Kutta method. The study begins with the analysis of a single block, where the system behaves deterministically, and the elastic rebound theory is recovered. Later, I consider a system of two interacting blocks. The introduction of interactions leads to the emergence of complex dynamics, and a period-doubling bifurcation appears as heterogeneity increases. Because of complex behaviour, a statistical analysis of earthquakes is performed using up to 400 blocks. Then, I observe that the magnitude distribution, related to the logarithm of the released energy, exhibits scale invariance, consistent with a power-law behaviour. In contrast, the recurrence time between earthquakes follows an exponential distribution, which is characteristic of a Poisson process, suggesting that earthquakes are statistically independent6 p.application/pdfengcc-by-nc-nd (c) Nicolás, 2025http://creativecommons.org/licenses/by-nc-nd/3.0/es/TerratrèmolsCaos (Teoria de sistemes)Treballs de fi de grauEarthquakesChaotic behavior in systemsBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess