In theoretical physics, the behaviour of a strongly disordered
system cannot be inferred from its clean, homogeneous counterpart. In fact,
disordered systems are prototypical examples of complex entities in many
aspects, mainly in the rough free-energy landscape profile. In the current
talk, I will present new results that shed light upon some of the most
fundamental questions in the theory of critical phenomena of disordered
systems that have created a lot of ambiguity over the last 40 years. The
platform will be the random-field Ising model, which is unique among other
models due to the existence of very fast algorithms that make the study of
these questions numerically feasible and whose applications in hard and soft
condensed matter physics are numerous.
Georgios Tsekenis