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

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

2012-01-17

arxiv.org/abs/1201.3420v1

J. Stat. Mech. Theo. Exp (2011) P06021

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2011/06/P06021

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 \textit{negative heat capacities} $C<0$. In this work, we show that the present approach of the fluctuation theory introduces new insights in the understanding of \textit{critical 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.

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