  I describe the non-equilibrium thermodynamics and the photochemical
mechanisms which may have been involved in the dissipative structuring,
proliferation and evolution of the fundamental molecules at the origin of life
from simpler and more common precursor molecules under the impressed UVC photon
flux of the Archean. Dissipative structuring of the fundamental molecules is
evidenced by their strong and broad wavelength absorption bands and rapid
radiationless dexcitation in this wavelength region. Proliferation arises from
the auto- and cross-catalytic nature of the intermediate products. Evolution
towards states of concentration profiles of generally increasing photon
disspative efficacy arises since the system has numerous stationary states, due
to the non-linearity of the photochemical and chemical reactions with
diffusion, which can be reached by amplification of a molecular concentration
fluctuation near a bifurcation. An example is given of photochemical
dissipative abiogenisis of adenine from the precursors HCN and H$_2$O within a
fatty acid vesicle on a hot ocean surface, driven far from equilibrium by the
impressed UVC light. The kinetic equations are resolved under different
environmental conditions and the results analyzed within the framework of
Classical Irreversible Thermodynamic theory.
