Time evolution of different CR energy gain and loss processes for a dwarf galaxy of mass ﹩{10}^{10}\,{M}_{\odot }﹩ (left) and a Milky Way–like galaxy of mass ﹩{10}^{12}\,{M}_{\odot }﹩ (right). We contrast our model of advective CR transport (dashed) to the model in which we additionally follow anisotropic CR diffusion (solid). While CRs experience a modest adiabatic energy gain in the Milky Way–like galaxy, they suffer a substantial adiabatic loss in the dwarf galaxy that even matches the nonadiabatic CR loss in model CR diff. This causes the FIR–gamma-ray relation to deviate from the calorimetric relation.