Zero-one-only process: A correlated random walk with a stochastic ratchet
- Authors
- Baek, Seung Ki; Jeong, Hawoong; Son, Seung-Woo; Kim, Beom Jun
- Issue Date
- Nov-2014
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Random walks; generating function; combinatorics
- Citation
- INTERNATIONAL JOURNAL OF MODERN PHYSICS B, v.28, no.29, pp.1 - 4
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MODERN PHYSICS B
- Volume
- 28
- Number
- 29
- Start Page
- 1
- End Page
- 4
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/21127
- DOI
- 10.1142/S0217979214502014
- ISSN
- 0217-9792
- Abstract
- The investigation of random walks is central to a variety of stochastic processes in physics, chemistry and biology. To describe a transport phenomenon, we study a variant of the one-dimensional persistent random walk, which we call a zero-one-only process. It makes a step in the same direction as the previous step with probability p, and stops to change the direction with 1 - p. By using the generating-function method, we calculate its characteristic quantities such as the statistical moments and probability of the first return.
- Files in This Item
-
Go to Link
- Appears in
Collections - COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY > DEPARTMENT OF APPLIED PHYSICS > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/21127)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.