GREEN'S FUNCTION IN CRITICAL PHENOMENA: DETAILED STUDY OF A STATIC CASE AND A DYNAMIC CASE WITH RESTRICTED GEOMETRY

In Physics, a Green’s function is a mathematical tool, used to solve differential equations. It is used to relate the response of a system to its cause, and to solve boundary value problems. In the context of critical phenomena, a Green function is a mathematical tool, used to study the response of a system near its critical point to a localized perturbation, which essentially describes how fluctuations in a system propagate through space and time. This provides us crucial information about the behaviour of the system at the critical point, where long-range correlations become dominant. In this communication, we study the use of this function in a critical static case ( specific heat ) and a critical dynamic case ( diffusivity ) with restricted geometry separately.