Jf. Douglas et al., HYPERCUBIC LATTICE SAW EXPONENTS-NU AND EXPONENT-GAMMA - 3.99 DIMENSIONS REVISITED, Journal of physics. A, mathematical and general, 26(8), 1993, pp. 1835-1845
The self-avoiding walk (SAW) exponents nu and gamma are computed over
a range of dimensions (1 less-than-or-equal-to d < infinity) from exac
t expressions for the mean-square end-to-end distance [R(n)2] and the
partition function Q(n) of SAWs having a limited number of steps, n le
ss-than-or-equal-to 11. SAW exponents (nu, gamma) for arbitrary dimens
ion d are estimated by applying standard extrapolation techniques to o
ur direct enumeration data which has been analytically continued to va
riable dimension. Exponent estimates obtained from continuum theories
of self-avoiding paths are compared with the SAW calculations.