Abstract
We use the definition given by Derényi and Astumian (Brownian ratchets and their application to biological transport processes and macromolecular separation. In: Kasianowicz JJ, Kellermayer MSZ, Deamer DW (eds) Structure and dynamics of confined polymers. NATO science series. Series 3: high technology, vol 87. Springer, Dordrecht (2002). https://doi.org/10.1007/978-94-010-0401-5-17) for Brownian ratchets
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Derényi, I., Astumian, R.D.: Brownian ratchets and their application to biological transport processes and macromolecular separation. In: Kasianowicz, J.J., Kellermayer, M.S.Z., Deamer, D.W. (eds.) Structure and Dynamics of Confined Polymers. NATO Science Series. Series 3: High Technology, vol. 87. Springer, Dordrecht (2002). https://doi.org/10.1007/978-94-010-0401-5-17
Cubero, D., Renzoni, F.: Brownian Ratchets: From Statistical Physics to Bio and Nano-motors. Cambridge University Press. ISBN 978-1-107-06352-5 (2016)
Bug, A.L.R., Berne, B.J.: Shaking-induced transition to a nonequilibrium state. Phys. Rev. Lett. 59, 948 (1987)
Ajdari, A.J., Prost, J.: Mouvement induit par un potentiel periodique de basse symetrie: Dielectrophorese pulsee. J. Comptes Rendus de l’Académie des Sciences, Paris 315, 1635–1639 (1992)
Magnasco, M.O.: Forced thermal ratchets. Phys. Rev. Lett. 71(10), 1477–1481. https://doi.org/10.1103/PhysRevLett.71.1477 (1993)
Astumian, R.D., Bier, M.: Fluctuation driven ratchets: molecular motors. Phys. Rev. Lett. 72(11), 1766–1769 (1994)
Astumian, R.D.: Thermodynamics and kinetics of a Brownian motor. Science 276, 917–922 (1997)
Astumian, R.D., Derényi, I.: Fluctuation driven transport and models of molecular motors and pumps. Eur. Biophys. J. 27, 474–489 (1998)
Barik, D., Ghosh, P.K., Ray, D.S.: Langevin dynamics with dichotomous noise; direct simulation and applications. J. Stat. Mech. (2006). Online at stacks.iop.org/JSTAT/2006/P03010
Bena, I.: Dichotomous Markov noise: exact results for out-of-equilibrium system. Int. J. Mod. Phys. B 20, 2825 (2006)
Bader, J.S., Hammond, R.W., Henck, S.A., Deem, M.W., McDermott, G.A., Bustillo, J.M., Simpson, J.W., Mulhern, G.T., Rothberg, J.M.: DNA transport by a micromachined Brownian ratchet device. Proc. Natl. Acad. Sci. U. S. A. 96, 13165 (1999)
Doering, C.R.: Randomly rattled ratchets. IL Nuovo Cimento D. 17(7–8), 685–697 (1995)
Reimann, P.: Brownian motors: noisy transport far from equilibrium. Phys. Rep. 361(2–4), 57–265 (2002)
Mogilner, A., Elston, T., Wang, H., Oster, G.: Molecular motors: examples. In: Fall, C., Marland, E., Tyson, J., Wagner, J. (eds.) Joel Keizer’s Computational Cell Biology, Chapter 13. A motor driven by a “flashing potential”, vol. 13.2, p. 361 (2002). https://doi.org/10.1016/S0370-1573(01)00081-3
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Fornés, J.A. (2021). Biased Brownian Motion. In: Principles of Brownian and Molecular Motors. Springer Series in Biophysics, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-030-64957-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-030-64957-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-64956-2
Online ISBN: 978-3-030-64957-9
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)