Spiral growing self-avoiding walk: a new universality class

Abstract

The author introduces the concept of a spiral growing self-avoiding walk (SGSAW) by imposing Privman's spiralling constraint (ibid., vol.16, p.L571, 1983) on the growing self-avoiding walk introduced by Majid et al. (Phys. Rev. Lett., vol.52, p.1257, 1984) and Lyklema and Kremer (ibid., vol.17, p.L691, 1984). He studies the critical properties of the SGSAW using Monte Carlo simulation. The exponent nu associated with the average radius of gyration, (S_N), is 0.8. On the other hand, the critical exponent nu _R associated with the end-to-end distance, (R_N), is much less than nu . The latter is in sharp contrast to the result nu = nu _R for the usual SAW. Directed GSAWs are shown to behave like directed usual SAWS.