On physical diffusion and stochastic diffusion

TL;DR

This paper compares physical and stochastic diffusion, highlighting their similarities and differences, and emphasizes careful consideration when transferring concepts between these two types of diffusion.

Contribution

It provides a detailed comparative analysis revealing that physical and stochastic diffusion cannot be directly equated, clarifying their intrinsic distinctions.

Findings

Characteristic terms do not correspond one-to-one between the two diffusions

Careful judgment is needed when transferring ideas between physical and stochastic diffusion

The study clarifies intrinsic differences despite similar mathematical expressions

Abstract

Although the same mathematical expression is used to describe physical diffusion and stochastic diffusion, there are intrinsic similarities and differences in their nature. A comparative study shows that characteristic terms of physical and stochastic diffusion cannot be placed exactly in one-to-one correspondence. Therefore, judgment needs to be exercised in transferring ideas between physical and stochastic diffusion.