Second-order phase transitions are classified according to the values of
critical exponents. In the 1960's, four famous scaling relations linking
these exponents were discovered and these are of fundamental importance in
statistical physics and related areas (such as lattice field theory). In
certain important circumstances the transitional behaviour is modified by
so-called logarithmic corrections. These are subtle effects that cloud the
leading terms, and characterize the system. Here it shown that these
logarithmic terms are also inter-related, just as the leading terms are,
and a set of new scaling relations for them is presented.
Conseexpected to become an important tool in modern statistical mechanics.