| Abstract: |
| We introduce a kinetic model for diffusion in spatially heterogeneous environments, arising for instance from variations in temperature or the surrounding medium, and to identify the macroscopic diffusion equation described by this kinetic dynamics. While most existing studies formulate kinetic models using a turning frequency (or turning rate) measured per unit time, we instead consider a model in which the turning frequency is measured per unit traveled distance. Our goal is to clarify how this spatially defined turning mechanism differs analytically from the standard temporal one, and how the resulting diffusion equation differs from diffusion limits derived from classical kinetic equations. |
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