Title: Fluctuation Theorems and Aging System: a possible use

Abstract:
In a simplified view a Fluctuation Theorem is a relation between the probability
of observing a given value of some quantity when a system evolves from an
initial to a final state, and the probability of observing the same value with the opposite sign,
when the system evolves on the reverse evolution path from the final to the initial state.
In the last years Fluctuation Theorems have been developed and applied in several different
contexts. Almost all of them can be grouped into two broad classes. The firsts relate states
of the system in equilibrium or in a steady state. The seconds considers measurements
on very long time intervals that the properties of the initial states, provided they are not singular,
can be neglected. This rise the question of what can be said, and even if fluctuations theorem can be
derived, when these requirements are not fulfilled. A typical example are aging systems.
In this talk I will present a Fluctuation Relation appropriate for an aging systems. While it is not
a Fluctuation Theorem  in strict sense, I will give some arguments on its validity
and present numerical results supporting it.