Statistical physics and mechanics
Study of the emergent behaviour (including critical behaviour and phase transitions) of extended systems with a very large number of elements and degrees of freedom which, in general, are found in an equilibrium or non-equilibrium state. These systems are best studied using information from the microscopic laws that govern the dynamics of their elements and applying the mathematical tools inherent to the probability and stochastic processes theory. The aim is to understand the emergent behavior of systems consisting of many elements.