Abstract:Methods of paradoxical games are used to construct a stochastic hopping model of Brownian ratchets which extends the well-known analogous deterministic model. The dependencies of the average displacements of a Brownian particle in a stochastic ratchet system on a discrete time parameter are calculated, as well as the dependencies of the average ratchet velocity on the average lifetimes of the states of the governing dichotomous process. The results obtained are compared with both the results of modeling a simi… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.