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Thermodynamics of information processing at the molecular scale

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Abstract

The thermodynamics of copolymerization processes leading to the formation and replication of copolymers is presented. Copolymers are natural one-dimensional supports of information, which may be coded in the sequence of monomeric units randomly attached or detached during their synthesis. Multivariate fluctuation relations are here established for copolymerization processes synthesizing Bernoulli and first-order Markov chains. Thereof, the thermodynamic entropy production is deduced and shown to depend on quantities characterizing information possibly stored in the copolymer sequence.

This article is supplemented with comments by D. Ruelle and Y. Pomeau and a final reply by the author.

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References

  1. G.M. Church, Y. Gao, S. Kosuri, Science 337, 1628 (2012)

    Article  ADS  Google Scholar 

  2. N. Goldman, P. Bertone, S. Chen, C. Dessimoz, E.M. LeProust, B. Sipos, E. Birney, Nature 494, 77 (2013)

    Article  ADS  Google Scholar 

  3. J.-F. Lutz, M. Ouchi, D.R. Liu, M. Sawamoto, Science 341, 628 (2013)

    Article  Google Scholar 

  4. H. Colquhoun, J.-F. Lutz, Nat. Chem. 6, 455 (2014)

    Article  Google Scholar 

  5. M.F. Crommie, C.P. Lutz, D.M. Eigler, Science 262, 218 (1993)

    Article  ADS  Google Scholar 

  6. D. Andrieux, P. Gaspard, Proc. Natl. Acad. Sci. USA 105, 9516 (2008)

    Article  ADS  Google Scholar 

  7. C. Jarzynski, Proc. Natl. Acad. Sci. USA 105, 9451 (2008)

    Article  ADS  Google Scholar 

  8. D. Andrieux, P. Gaspard, J. Chem. Phys. 130, 014901 (2009)

    Article  ADS  Google Scholar 

  9. P. Gaspard, D. Andrieux, J. Chem. Phys. 141, 044908 (2014)

    Article  ADS  Google Scholar 

  10. D. Andrieux, P. Gaspard, EPL 103, 30004 (2013)

    Article  ADS  Google Scholar 

  11. P. Gaspard, New J. Phys. 15, 115014 (2013)

    Article  ADS  Google Scholar 

  12. R.K. Pathria, Statistical Mechanics (Pergamon, Oxford, 1972)

  13. D. Andrieux, Nonequilibrium Statistical Thermodynamics at the Nanoscale (Thèse de doctorat, Université Libre de Bruxelles, 2008)

  14. C.H. Bennett, Biosystems 11, 85 (1979)

    Article  Google Scholar 

  15. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981)

  16. D. Andrieux, P. Gaspard, Phys. Rev. E 77, 031137 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  17. P. Sartori, S. Pigolotti, Phys. Rev. Lett. 110, 188101 (2013)

    Article  ADS  Google Scholar 

  18. K.A. Johnson, Annu. Rev. Biochem. 62, 685 (1993)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Code Postal 231, Campus Plaine, 1050, Brussels, Belgium

    P. Gaspard

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  1. P. Gaspard
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Gaspard, P. Thermodynamics of information processing at the molecular scale. Eur. Phys. J. Spec. Top. 224, 825–838 (2015). https://doi.org/10.1140/epjst/e2015-02430-y

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  • DOI: https://doi.org/10.1140/epjst/e2015-02430-y

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