Microscopic dynamics underlying the anomalous diffusion

The time dependent Tsallis statistical distribution describing anomalous diffusion is usually obtained in the literature as the solution of a non-linear Fokker-Planck (FP) equation [A.R. Plastino and A. Plastino, Physica A, 222, 347 (1995)]. The scope of the present paper is twofold. Firstly we show that this distribution can be obtained also as solution of the non-linear porous media equation. Secondly we prove that the time dependent Tsallis distribution can be obtained also as solution of a linear FP equation [G. Kaniadakis and P. Quarati, Physica A, 237, 229 (1997)] with coefficients depending on the velocity, that describes a generalized Brownian motion. This linear FP equation is shown to arise from a microscopic dynamics governed by a standard Langevin equation in presence of multiplicative noise.Comment: 4 pag. - no figures. To appear on Phys. Rev. E 62, September 200

Women in the Life and Teachings of Jesus

This chapter has two goals: (1) to show that Jesus placed a high value on women, and (2) to show that Jesus recognized role distinctions for men and women. Jesus’ high regard for women is seen in how He recognized their intrinsic equality with men, in how He ministered to women, and in the dignity He accorded to women during his ministry. Jesus’ recognition of role distinctions for men and women is demonstrated by His choosing only men to serve as His apostles with their primary tasks of preaching, teaching, and governing. Women, however, served in other important capacities, such as praying, providing financial assistance, ministering to physical needs, voicing their theological understanding, and witnessing to the resurrection