1D diffusion in glassy polymers with no stresses considered explicitly is studied. A class of different uncorrelated and correlated random walks (RW), described by suitable master equations, is presented. The limiting processes which lead to the set of partial differential equations (PDEs) of parabolic and hyperbolic types generating the ``travelling waves'' solutions are discussed. Finally, some numerical solutions addressed to diffusion in glassy polymers are discussed.

PACS numbers: 05.40.Fb, 05.10.Ge