Polymer chains that interact with themselves and/or with their environment are fascinating
objects, displaying a range of interesting physical and chemical phenomena. The focus in …

The self-avoiding walk is a classical model in statistical mechanics, probability theory and
mathematical physics. It is also a simple model of polymer entropy which is useful in …

Random copolymers are polymers with two or more types of monomer where the monomer
sequence is determined by some random process. Once determined, the sequence is fixed …

Hepatitis B Virus (HBV) cores assemble on viral RNA, which is reverse transcribed within the
core to the partially dsDNA genome of mature HBV. However, constraining dsDNA, a stiff …

A survey is given of the simulation methods as applied to the design of nontrivial sequences
in synthetic copolymers aimed at achieving desired functional properties. We consider a …

Consider the directed process $(i, S_i) $ where the second component is simple random
walk on $\mathbb {Z}(S_0= 0) $. Define a transformed path measure by weighting each $ n …

We present a statistical mechanical model, which is used to investigate the adsorption
behavior of two-letter (AB) copolymers on chemically heterogeneous surfaces. The surfaces …

A single polymer macromolecule is considered with disorder types such as branches, knots,
and heterogeneous sequences of chemical units. In all cases, simple theoretical …

The interfacial behavior of macromolecules dictates their intermolecular interactions, which
can impact the processing and application of polymers for pharmaceutical and synthetic use …

The behaviour of various types of copolymers at interfaces between two immiscible solvents
A and B is investigated. The copolymers consist of two monomer species A and B. Their …