Год выпуска: 2011 Автор: Ophir Flomenbom Издательство: LAP Lambert Academic Publishing Страниц: 104 ISBN: 9783844315769
Описание
Various new stochastic processes are addressed. Firstly, it is shown that the anomaly in single anomalous random walkers in a random environment has two different origins, where only the one resulting in the slower dynamics determines the anomaly. Secondly, addressed are dynamics of many walkers in a channel (this process is at times called single file dynamics or the exclusion process). It is shown that the mean square displacement, MSD, of a walker in normal heterogeneous files scales like, MSD~t^? where ?=(1- g)/[2/(1+a)-g]; 'a' is related with the initial density of the walkers and 'g' with their distribution in diffusion coefficients. Finally, studied are anomalous walkers in a file. These exhibit rich behaviors. Synchronized anomalous walkers and independent anomalous walkers are different, where the later actually form clusters causing a phase transition, and the former scale compactly with normal files. We think that the results in this book can help both ...
