FRACTIONAL BROWNIAN-MOTION MODELS FOR POLYMERS

Fractional Brownian motion (FBM) is a generalization of the usual Brow nian motion. Recently we have given the correct path integral represen tation for it (K.L. Sebastian, J. Phys. A 28 (1995) 4305). Its measure shows that the process is Gaussian but is in general non-Markovian, e ven though Brownian motion itself is Markovian. We demonstrate this he re by evaluating the three-point Green's function. We point out certai n uses and defects of the FBM as a model for polymer molecules.