## Molina García, Daniel

#### PhD Student - (Predoc Severo Ochoa 2015)

Statistical Physics
##### Helbidea

Mazarredo, 14. 48009 Bilbao Basque Country - Spain

##### Harremana

I studied Physics in the University of Granada and I did a Master in Physics and Mathematics at the same university. My Master Thesis was focused on the computational study of a stochastic model known as multi-species voter model to study ecological communities. Currently, I am PhD student in BCAM. The topic of my thesis is Stochastic Processes for Anomalous Diffusion. The director of my thesis is Gianni Pagnini.
Anomalous diffusion is the general name to indicate diffusive
processes that do not follow the behavior of classical Gaussian
diffusion which is also referred to as normal diffusion. Hence, the
label anomalous is stated in contrast to normal in order to underline
the differences. In Nature, anomalous diffusion has been observed, for
example, in turbulent plasma transport, photon diffusion and cell
migration. A successful tool is Fractional Calculus and a fractional
kinetics follows from equations built on fractional derivatives. Several
stochastic approaches have been introduced in literature to explain
anomalous diffusion. The proposed PhD project is focused on the
generalized grey Brownian motion, which is a parametric class of self-
similar stochastic processes with stationary increments that
generalizes the fractional Brownian motion, the time-fractional
diffusion and the standard Brownian motion. The corresponding
master equation is known to be a fractional differential equation in the
Erdélyi-Kober sense. In particular, it has been planned to characterize
and simulate a large class of self-similar stochastic processes with
stationary increments that can model also space-fractional diffusion
and space-time fractional diffusion. The project concludes with the
experimental validation of at least one of the derived models.