On the linear variation of the critical temperature in the Gibbs distribution

We theoretically show that the critical temperature tc of the critical phenomena described within the gibbs distributionis varying linearly with the energetic parameters of the hamiltonian. this kind of variation is due to the natureof the competition between the energy of the system and the energy kbt the thermic source. the change of thiscompetition will lead to a different variation of the critical temperature. this linear variation has been reported bywell-known theories of the simplest ising model. in this study, we observe that this linearity concerns all wellknownmagnetic hamiltonians formulated through spin-spin interactions. this competition has also a direct effecton the class of universalities in critical phenomena.