Singular behavior of fluctuations in a relaxation process
Date of Issue2014
School of Physical and Mathematical Sciences
Carrying out explicitly the computation in a paradigmatic model of non-interacting systems, the Gaussian model, we show the existence of a singular point in the probability distribution P(M) of an extensive variable M. Interpreting P(M) as a thermodynamic potential of a dual system obtained from the original one by applying a constraint, we discuss how the non-analytical point of P(M) is the counterpart of a phase-transition in the companion system. We show the generality of such mechanism by considering both the system in equilibrium or in non-equilibrium state following a temperature quench.
Journal of non-crystalline solids
© 2014 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of non-crystalline solids, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.jnoncrysol.2014.07.039].