Relation between generalized diffusion equations and subordination schemes
نویسندگان
چکیده
Generalized (non-Markovian) diffusion equations with different memory kernels and subordination schemes based on random time change in the Brownian process are popular mathematical tools for description of a variety non-Fickian processes physics, biology, earth sciences. Some such (notably, fluid limits continuous walks) allow either kind description, but other ones do not. In present work we discuss conditions under which generalized equation does correspond to scheme, scheme possess corresponding equation. Moreover, examples only one, or both kinds applicable.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreve.103.032133