"From cell biology to polymer photovoltaics, (self-)assembly processes that give rise to morphology and functionality result from non-equilibrium processes, which are driven by both, external forces, such as flow due to pressure gradients, inserting energy, or manipulation on a local molecular level, or internal forces, such as relaxation into a state of lower free energy. The resulting material is arrested in a metastable state. Most previous work has focused on the relationship between structure and properties, while insight into the guiding principles governing the formation of a (new) material, has been lacking. However, a comprehensive molecular level understanding of non-equilibrium assembly would allow for control and manipulation of material processes and their resulting properties. This lag of knowledge can be traced to the formidable challenge in obtaining a molecular picture of non-equilibrium assembly. Non-equilibrium processes have been studied extensively on a macroscopic level by non-equilibrium thermodynamics. We take a novel route approaching the challenge from a molecular point of view. Recent advances in experimental, but especially computational modeling, now allow to follow (supra-) molecular structural evolution across the range of length and time scales necessary to comprehend, and ultimately control and manipulate macroscopic functional properties of soft matter at the molecular level. Soft matter is particularly suited for that approach, as it is “slow” and easy to manipulate. We take the computational physics route, based on simulations on different levels of resolution (all atom, coarse grained, continuum) in combination with recent multiscale and adaptive resolution techniques. This work will initiate the way towards a paradigm change from conventional Structure Property Relations (SPR) to molecularly based Structure Process Property Relations (SPPR)."