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Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes

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Abstract

We present a numerical simulation algorithm that is well suited for the study of noise-induced transport processes. The algorithm has two advantages over standard techniques: (1) it preserves the property of detailed balance for systems in equilibrium and (2) it provides an efficient method for calculating nonequilibrium currents. Numerical results are compared with exact solutions from two different types of correlation ratchets, and are used to verify the results of perturbation calculations done on a three-state ratchet.

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References

  1. M. Magnasco,Phys. Rev. Lett. 71:1477 (1993).

    Google Scholar 

  2. J. Maddox,Nature 365:203 (1993).

    Google Scholar 

  3. M. Millonas and M. Dykman,Phys. Lett. A 185:65 (1994).

    Google Scholar 

  4. C. Peskin, G. Ermentrout, and G. Oster,Cell Mechanics and Cellular Engineering (Springer-Verlag, Berlin, 1994).

    Google Scholar 

  5. R. Astumian and M. Bier,Phys. Rev. Lett. 72:1766 (1994).

    Google Scholar 

  6. J. Maddox,Nature 368:287 (1994).

    Google Scholar 

  7. J. Prost, J. Chauwin, L. Peliti, and A. Adjari,Phys. Rev. Lett. 72:2652 (1994).

    Google Scholar 

  8. C. Doering, W. Horsthemke, and J. Riordan,Phys. Rev. Lett. 72:2984 (1994).

    Google Scholar 

  9. J. Maddox,Nature 369:181 (1994).

    Google Scholar 

  10. J. Rousselet, L. Salome, A. Adjari, and J. Prost,Nature 370:446 (1994).

    Google Scholar 

  11. S. Leibler,Nature 369:412 (1994).

    Google Scholar 

  12. R. Bartussek, P. Hanggi, and J. G. Kissner,Europhys. Lett. 28:459 (1994).

    Google Scholar 

  13. K. Svoboda and S. Block,Cell 77:773 (1994).

    Google Scholar 

  14. K. Svoboda, P. Mitra, and S. Block,Proc. Natl. Acad. Sci. USA 91:11782 (1994).

    Google Scholar 

  15. C. Peskin and G. Oster,Biophys. J. 68:202s (1995).

    Google Scholar 

  16. C. Gardiner,Handbook of Stochastic Processes (Springer-Verlag, Berlin, 1983).

    Google Scholar 

  17. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling,Numerical Recipes (Cambridge University Press, Cambridge 1988).

    Google Scholar 

  18. C. Doering, In Proceedings of the Workshop on Fluctuations in Physics and Biology,Nuovo Cimento 17:685 (1995).

    Google Scholar 

  19. W. Horsthemke and R. Lefever,Noise Induced Transitions (Springer, New York, 1984).

    Google Scholar 

  20. N. Van Kampen,Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).

    Google Scholar 

  21. M. Bier,Phys. Lett. A 211:12 (1996).

    Google Scholar 

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Elston, T.C., Doering, C.R. Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes. J Stat Phys 83, 359–383 (1996). https://doi.org/10.1007/BF02183737

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