Correlations play an important role in statistical physics. In 1967 Griffiths derived some simple inequalities between correlations in a ferromagnetic system where interacting elements tend to have the same position in the configuration space. I will introduce these inequalities along with some generalizations to see how one can apply them to other interacting systems. References:  R. B. Griffiths, 1967.  C. M. Fortuin, P. W. Kasteleyn and J. Ginibre, 1971.
Wed, 07/10/2009 - 12:30