User talk:Javier

Hi, I am a third year PhD student at the Carlos III University of Madrid (Spain). My research field are statistical physics and applied mathematics. Particularly, I am currently working on nonlinear dynamics and pattern formation in systems which undergo growth and erosion processes, using analytical and numerical techniques

The objects of study are surfaces and interfaces generated in various non-equilibrium systems, which range from production of nanostructures by molecular beam epitaxy (MBE) or by ion beam sputtering (IBS) to pattern formation on aeolian sand dunes. Part of the effort to understand these systems consists in formulating continuum or discrete models aimed at capturing universal features of the phenomena under study and obtaining some continuum deterministic or stochastic equations which describe the considered processes. Numerical integration techniques of this kind of equations have been an essential tool to understand the behavior of these systems. A common feature of these surfaces is that they typically exhibit pattern formation and therefore we have extended the powerful theoretical tools which describe spatial and temporal pattern in hydrodynamical, thermal, chemical or biological systems to this kind of systems. Another important feature of these surfaces is that they can present power law correlations both in space and in time, so that their study shares many features with that of equilibrium critical phenomena.