Many complex systems produce outcomes having recurring, power law-like distributions over wide ranges. However, the form necessarily breaks down at extremes, whereas the Weibull distribution has been demonstrated over the full observed range. Here the Weibull distribution is derived as the asymptotic distribution of generalized first-order kinetic processes, with convergence driven by autocorre...

About the Authors, Paper: Douglas M. Bates is with the Department of Statistics at the University of Wisconsin. Donald G. Watts is a member of the Department of Mathematics and Statistics, Queen's University at Kingston. The work reported on was supported by the National Science Foundation in the United States and the Natural Sciences and Engineering Research Council of Canada. We consider syst...

A thermally enhanced pump-and-treatment method for pentachlorophenol (PCP)-contaminated soil and groundwater has shown potential advantages over the traditional pump-and-treatment method. Studies on the desorption kinetics of PCP from aquifer soil are the first step toward quantitative assessment of the newly proposed method. Five series of desorption batch tests were conducted at different tem...

sorption reactions in many heterogeneous systems are important. adsorption is a time dependent process and knowing the adsorption rate is essential for designing, evaluating and recovering the adsorbents. at the present study, an ammonium adsorption kinetic experiment by some soils series of golestan provice, which is varying in mineralogical and textural properties was conducted using solution...