Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-15
Journal of Statistical Mechanics: Theory and Experiment (2010) P12031
Physics
Condensed Matter
Statistical Mechanics
Extended version of the paper published in JSTAT
Scientific paper
10.1088/1742-5468/2010/12/P12031
Previously, we have derived a generalization of the canonical fluctuation relation between heat capacity and energy fluctuations $C=\beta^{2}<\delta U^{2}>$, which is able to describe the existence of macrostates with negative heat capacities $C<0$. In this work, we extend our previous results for an equilibrium situation with several control parameters to account for the existence of states with anomalous values in other response functions. Our analysis leads to the derivation of three different equilibrium fluctuation theorems: the \textit{fundamental and the complementary fluctuation theorems}, which represent the generalization of two fluctuation identities already obtained in previous works, and the \textit{associated fluctuation theorem}, a result that has no counterpart in the framework of Boltzmann-Gibbs distributions. These results are applied to study the anomalous susceptibility of a ferromagnetic system, in particular, the case of 2D Ising model.
Curilef Sergio
Velazquez Luis
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