<p>Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the dissipative resistance of the surrounding medium. In this talk I will show that in these cases the widely used relation between informatic entropy production and heat dissipation does not hold. Consequently, fluctuation relations for the mechanical work, such as the Jarzynski and Crooks theorems, are invalid. The breaking of the correspondence between informatic entropy production and heat dissipation will then be related to the departure from the fluctuation-dissipation theorem. I will finally propose a temperaturelike variable that restores the correspondence between information and thermodynamics and gives rise to a generalized second law of thermodynamics. The Clausius inequality, Carnot maximum efficiency theorem, and relation between the extractable work and the change of free energy are recovered as well.</p>
