In this review, we provide an organized summary of the theoretical and computational
results that are available for polymers subject to spatial or topological constraints. Because …

Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

A mean field theory of the effect of knots on the statistical mechanics of ring polymers is
presented. We introduce a topological invariant which is related to the primitive path in the" …

Polymer topology Page 1 Polymer Topology Alexander Grosberg I and Sergei Nechaev 2 I
Institute of Chemical Physics, 117977 Moscow, Russia 2 LD Landau Institute for Theoretical …

We describe the results of Monte Carlo simulations for kinetics at the collapse transition of a
homopolymer in a lattice model. We find the kinetic laws corresponding to the three kinetic …

We study the equilibrium shapes of prime and composite knots confined to two dimensions.
Using scaling arguments we show that, due to self-avoiding effects, the topological details of …

Relaxation of a dilute polymer solution after an abrupt cooling from good-or-solvent to poor
solvent is considered. Four processes are involved in relaxation, namely, single unknotted …

The study of knots and links from a probabilistic viewpoint provides insight into the behavior
of “typical” knots, and opens avenues for new constructions of knots and other topological …

Theoretical discussion of the kinetic aspects of the collapse of a long flexible chain in dilute
solution upon a sudden quench was started by de Gennes. 1 Of course, the outstanding …

The main statistical characteristics of locally free groups: the growth, the drift and the entropy
are considered and relations between them are established. Our results assert that:(i) the …