  The detailed fluctuation theorems of the exact form $P(A)/P(-A)=e^A$ exist
only for a handful of variables $A$, namely for work (Crooks theorem), for
total entropy change (Seifert's theorem), etc. However, the so-called modified
detailed fluctuation theorems can be formulated for several other thermodynamic
variables as well. The difference is that the modified relations contain an
extra factor, which is dependent on $A$. This factor is usually an average of a
quantity $e^{-B}$, where $B\neq A$, with repect to the conditional probability
distribution $P(B|A)$. The corresponding modified integral fluctuation theorems
also differ from their original counterparts, by not having the usual form
$\left<e^{-A}\right>=1$. The generalization of these relations in presence of
feedback has been discussed briefly. The results derived here serve to
complement the already existing results in fluctuation theorems. The steps
leading to the quantum version of these derivations have been outlined in the
appendix.
