Talk on Thursday May 26, 2022 at 11:00 Place: IFISC Seminar Room Title: Generalized diffusion in graphs/networks Speaker: Fernando Díaz Díaz, IFISC (CSIC-UIB) Abstract: <p>Abstract:</p> <p>Normal and anomalous diffusion are ubiquitous in many complex systems. In this talk, I will define a time and space generalized diffusion equation (GDE), which uses fractional-time derivatives and transformed d-path Laplacian operators on graphs/networks. I will find prove that the solution of this equation covers the regimes of normal, sub- and superdiffusion as a function of the two parameters of the model. I will also extend the GDE to consider a system with temporal alternancy of normal and anomalous diffusion, which is able to sucessfully model the diffusion of proteins along a DNA chain. Finally, I will briefly comment how a subdiffusive-superdiffusive alternant regime allows the diffusive particle to explore more slowly small regions of the chain with a faster global exploration.</p> Url event:https://ifisc.uib-csic.es/en/events/seminars/generalized-diffusion-in-graphs...