Ring polymers have fascinated theorists, simulators,
and experimentalists
as they are the simplest polymer without ends, giving rise to important
topology related properties. We present the state of the art of recent
synthetic efforts and investigations into the structure and dynamics
of dense nonconcatenated ring polymer systems. Analyzing the existing
knowledge, we identify challenges for future research: In the realm
of synthesis the creation of well-defined high molecular weight rings
based on different monomers are highly desirable. In the field of
ring conformations, the existence of double folded structures that
are at the basis of many theoretical approaches was severely challenged
and further scrutiny is needed. Similarly, the issue of the size dependent
transition to mass fractal structures, or the effect of local stiffness
on the conformation and dynamics are open questions. The role of ring–ring
threading in the terminal dynamics of rings needs to be further elucidated.
In particular, the novel proposed topological glass transition for
very high molecular weight ring melts awaits experimental verification.
Experimentally, ring-linear blends are very seldomly investigated:
only a small number of studies on the miscibility and the conformation
of rings in such blends are available. Microscopic experiments on
the dynamics are nearly entirely missing. Finally, as different theoretical
approaches are always backed by corresponding simulations, a crucial
task would be to find out how the different approaches connect to
each other and which experiments should be performed.