Open AccessA spatial structural derivative model for ultraslow diffusion
Author(s) -
Wei Xu,
Wen Chen,
Yingjie Liang,
José Weberszpil
Publication year - 2017
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci17s1121x
Subject(s) - derivative (finance) , diffusion , diffusion equation , anomalous diffusion , exponential function , logarithmic derivative , material derivative , function (biology) , mean squared displacement , displacement (psychology) , mathematical analysis , mathematics , physics , thermodynamics , molecular dynamics , computer science , knowledge management , economy , innovation diffusion , quantum mechanics , evolutionary biology , biology , financial economics , economics , service (business) , psychology , psychotherapist
This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function exp(x)is selected as the structural function to construct the local structural derivative diffusion equation model. The analytical solution of the diffusion equation is a form of Biexponential distribution. Its corresponding mean squared displacement is numerically calculated, and increases more slowly than the logarithmic function of time. The local structural derivative diffusion equation with the structural function exp(x)in space is an alternative physical and mathematical modeling model to characterize a kind of ultraslow diffusion.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom