English

Expectation values in the random walk theory and the diffusion equation

Statistical Mechanics 2024-05-21 v1

Abstract

The relation between the expectation values computed in the random walk theory, and the heat kernel method for the diffusion equation is explained concretely. The random walk is also realized by simulations and their statistical uncertainties are analyzed.

Keywords

Cite

@article{arxiv.2405.11748,
  title  = {Expectation values in the random walk theory and the diffusion equation},
  author = {Kenichiro Aoki and Takahisa Mitsui},
  journal= {arXiv preprint arXiv:2405.11748},
  year   = {2024}
}

Comments

3 pages, 2 figures

R2 v1 2026-06-28T16:32:39.630Z