2024/08/01 by Kazuhiko Seki, Seki, Kazuhiko
Earth and Planetary Sciences · #Aquatic and Environmental Studies #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2408.00926
openalex publication_date 2024/08/01 · openalex created_date 2024/08/29 · openalex updated_date 2026/07/28
The transition probability for a one-dimensional discrete symmetric random walk under a reflecting barrier was once given by the method of images. [S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).] However, several inconsistencies have been reported when the method of images is applied in cases where a reflecting barrier is considered, even after the exact solution has been obtained. Here, we explicitly show that the method of images becomes applicable if the image position is shifted.