This is an overview of theoretical approaches to semiflexible polymers and their networks.
Such semiflexible polymers have large bending rigidities that can compete with the entropic …

With substantial progresses in reinforcement mechanism of nanoparticle filled polymers
(NPFPs) beyond the hydrodynamic limit, now is the time to reconsider this topic …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

The field of phase transitions and critical phenomena continues to be active in research,
producing a steady stream of interesting and fruitful results. It has moved into a central place …

Disorder and long-range interactions are two of the key components that make material
failure an interesting playfield for the application of statistical mechanics. The cornerstone in …

Disordered fibre networks are the basis of many man-made and natural materials, including
structural components of living cells and tissue. The mechanical stability of such networks …

The percolation of rigidity in 2D central-force networks with no special symmetries (generic
networks) has been studied using a new combinatorial algorithm. We count the exact …

Many important macroscopic properties of materials depend upon the number of
microscopic degrees of freedom. The task of counting the number of such degrees of …

We study the elasticity of a two-dimensional random network of rigid rods (“Mikado model”).
The essential features incorporated into the model are the anisotropic elasticity of the rods …

The continuous random network model is widely used as a realistic description of the
structure of covalent glasses and amorphous solids. We point out that in real glasses and …