Interacting growth walk on a honeycomb lattice

S.L. Narasimhan, V. Sridhar and K.P.N. Murthy

Physica A: Statistical Mechanics and its Applications, 2003, vol. 320, issue C, 51-59

Abstract: 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 ε=−1. We show that at βG=0, IGW algorithm generates a canonical ensemble of interacting self-avoiding walks at β=β̂(βG=0)=ln(2). However for βG>0, IGW generates an ensemble of polymer configurations most of which are in equilibrium at β=β̂(βG). The remaining ones are frozen in ‘non-equilibrium’ configurations.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:320:y:2003:i:c:p:51-59

DOI: 10.1016/S0378-4371(02)01532-7

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