English

Walker diffusion method for solution of ohmic circuit problems

Statistical Mechanics 2019-06-26 v1

Abstract

A probabilistic method is derived for solution of ohmic circuit problems. It is compared to the standard approach, which is construction and solution of a set of coupled, linear equations manifesting Kirchhoff's laws. An example is made of an electrical circuit that has the complicated connectivity of a bond-and-node Sierpinski triangle, which would be tedious to solve by matrix methods.

Keywords

Cite

@article{arxiv.1906.10245,
  title  = {Walker diffusion method for solution of ohmic circuit problems},
  author = {Clinton DeW. Van Siclen},
  journal= {arXiv preprint arXiv:1906.10245},
  year   = {2019}
}
R2 v1 2026-06-23T10:02:30.155Z