Organized condensation of worm-like chains

Organized condensation of worm-like chains

We present results relevant to the equilibrium organization of DNA strands of arbitrary length interacting with a spherical organizing center, suggestive of DNA-histone complexation in nucleosomes. We obtain a rich phase diagram in which a wrapping state is transformed into a complex multi-leafed structure as the adhesion energy is reduced. The statistical mechanics of the “melting” of a rosett...

Semiflexible Chains at Surfaces: Worm-Like Chains and beyond

We give an extended review of recent numerical and analytical studies on semiflexible chains near surfaces undertaken at Institut Charles Sadron (sometimes in collaboration) with a focus on static properties. The statistical physics of thin confined layers, strict two-dimensional (2D) layers and adsorption layers (both at equilibrium with the dilute bath and from irreversible chemisorption) are...

Worm-like carbon shell chains produced from wood

Self-organized chains for clustering

This paper presents a new algorithm for clustering. It is an generalisation of the K-means algorithms . Each cluster will be represented by a chain of prototypes instead of being represented by one prototype like for the K-means. The chains are competing together to represent clusters and are evolving according to Kohonen maps adaptation rule. It is well known that K-means performs very well wi...

Curvature Distribution of Worm-like Chains in Two and Three Dimensions

Bending of worm-like polymers carries an energy penalty which results in the appearance of a persistence length lp such that the polymer is straight on length scales smaller than lp and bends only on length scales larger than this length. Intuitively, this leads us to expect that the most probable value of the local curvature of a worm-like polymer undergoing thermal fluctuations in a solvent, ...