Understanding critical behavior in the framework of the extended equilibrium fluctuation theorem

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with $\mathit{\text{negative}}\mathit{\text{heat}}\mathit{\text{capacities}}$ $C<0$. In this work, we show that the present approach of the fluctuation theory introduces new insights in the understanding of $\mathit{\text{critical}}\mathit{\text{phenomena}}$. Specifically, the new theorem predicts that the environmental influence can radically affect critical behavior of systems, e.g. to provoke a suppression of the divergence of correlation length $\xi$ and some of its associated phenomena as spontaneous symmetry breaking. Our analysis reveals that while response functions and state equations are \emph{intrinsic properties} for a given system, critical behaviors are always \emph{relative phenomena}, that is, their existence crucially depend on the underlying environmental influence.