1,997 research outputs found
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
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