{
  "id": "2006.02390",
  "version": "v1",
  "published": "2020-06-02T09:05:02.000Z",
  "updated": "2020-06-02T09:05:02.000Z",
  "title": "Analytical solution of diffusion probability for a flat potential with a gaussian sink",
  "authors": [
    "Swati Mudra",
    "Aniruddha Chakraborty"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other"
  ],
  "abstract": "We give a very simple method for finding the exact analytical solution for the problem of a particle undergoing diffusive motion on a flat potential in the presence of a gaussian sink function. The diffusion process is modelled by using one dimensional Smoluchowski equation. Our method provides solution in Laplace domain. Our solution can be used to analyze several related problems involving diffusion-reaction systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-02T09:05:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "flat potential",
      "diffusion probability",
      "gaussian sink function",
      "dimensional smoluchowski equation",
      "particle undergoing diffusive motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}