Efficiency of discrete-time ratchets
Abstract
Recently there has been much interest in discrete forms of Brownian ratchets, using a game-theoretic formalism. Using the approach pioneered by Parrondo, we develop a new method for obtaining the stationary probabilities and probability current for the case of discrete-time and discrete-space ratchets. We then use this result to calculate the Parrondian ratchet efficiency in two cases: firstly, for Parrondo's original system and, secondly, for a set of probabilities derived from a discretized ratchet potential.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.