Fractional diffusion in inhomogeneous media
Aleksei V. ChechkinInstitute for Theoretical Physics, National Science Center ‘Kharkov Institute of Physics and Technology’, Akademicheskaya St. 1, Kharkov 61108, UkraineRudolf GorenfloDepartment of Mathematics and Informatics, Free University of Berlin, Arnimallee 3, D-14195 Berlin, Dahlem, GermanyIgor M. SokolovInstitute for Physics, Humboldt University of Berlin, Newtonstrasse 15, D-12489 Berlin, Germany
2005en
ABI
Аннотация
Starting from the continuous time random walk (CTRW) scheme with the space-dependent waiting-time probability density function (PDF) we obtain the time-fractional diffusion equation with varying in space fractional order of time derivative. As an example, we study the evolution of a composite system consisting of two separate regions with different subdiffusion exponents and demonstrate the effects of non-trivial drift and subdiffusion whose laws are changed in the course of time.
Перевод пока недоступен
Идентификаторы
Цитирования и источники
Цитирований: 5Использованных источников: 0