Interacting growth walk on a honeycomb lattice

The interacting growth walk (IGW) is a kinetic algorithm proposed recently for generating long, lattice polymer configurations. The growth process in IGW is tuned by a parameter called the growth temperature TG=1/(kBβG). In this paper we consider IGW on a honeycomb lattice. We take the non-bonded nearest neighbour contact energy as =−1. We show that at βG=0, IGW algorithm generates a canonical ensemble of interacting self-avoiding walks at . However for βG>0, IGW generates an ensemble of polymer configurations most of which are in equilibrium at . The remaining ones are frozen in ‘non-equilibrium’ configurations.