Discrete and continuous ratchets: From coin toss to molecular motor

DOI10.3934/dcdsb.2002.2.153zbMath1009.35037OpenAlexW2063002723MaRDI QIDQ1599859

Michał Kowalczyk, David Kinderlehrer, David C. Heath

Publication date: 14 April 2003

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2002.2.153

zbMATH Keywords

Brownian Motordiffusion mediated transportParrondo Paradox

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Diffusion processes (60J60) Cell biology (92C37) Initial value problems for second-order parabolic equations (35K15) Probabilistic games; gambling (91A60)

Related Items (6)

Parrondo effect: exploring the nature-inspired framework on periodic functions ⋮ An approximation by Parrondo games of the Brownian ratchet ⋮ A free energy based mathematical study for molecular motors ⋮ Parrondo's games as a discrete ratchet ⋮ Fokker-Planck equations for a free energy functional or Markov process on a graph ⋮ Developments in Parrondo’s Paradox

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