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Novel Contexts of Computer Simulation

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 45))

Abstract

In this review paper we illustrate the application of standard simulation methods in statistical physics in two novel contexts. The first deals with the extraction of a dynamic relaxation time from a biased sampling Monte Carlo computation on equilibrium data. The specific example reviews a previously published Rouse model polymer chain dynamics derived from the Kramers potential with and without excluded volume interaction. The second deals with the approximate representation of continuous functions of many variables of physical interest in information retrieval or condensed matter/statistical physics in terms of continuous functions of one variable. The arguments of the latter can be stored once and for all in a computer memory.

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References

  1. H.L. Frisch, N. Pistoor, A. Sariban, K. Binder and S. Fesjian, J. Chem. Phys. 89, 5194 (1988).

    Article  ADS  Google Scholar 

  2. H.A. Kramers, J. Chem. Phys. 14, 415 (1946).

    Article  ADS  Google Scholar 

  3. S. Fesjian and H.L. Frisch, J. Chem. Phys. 80, 4410 (1984).

    Article  ADS  Google Scholar 

  4. L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).

    Article  ADS  Google Scholar 

  5. For a general review of the Monte Carlo technique for the simulation of lattice models for macromolecules see A. Baumgärtner, in Applications of the Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer, Berlin, 1984); K. Kremer and K. Binder, Comput. Phys. Rep. 7., 259 (1988).

    Google Scholar 

  6. R.B. Bird, C.F. Curtiss, R.C. Armstrong, and O. Hassager Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987 ), Vol. 2, Chap. 15.

    Google Scholar 

  7. H.L. Frisch, C. Borzi,G. Ord, J.K. Percus and G.O. Williams, “Approximate Representation of Functions of Several Variables”, unpublished manuscript, submitted to Phys. Rev.

    Google Scholar 

  8. Reference 6, Chap. 11.

    Google Scholar 

  9. N. Pistoor, Diplomarbeit, Johannes-Gutenberg-Universität Mainz (unpublished); see also N. Pistoor and K. Binder, Colloid Polym. Sci. 266, 132 (1988).

    Google Scholar 

  10. J.C. le Guillou and J. Zinn-Justin, Phys. Rev. B 21, 3976 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  11. N. Madras and A. Sokal, J. Stat. Phys. 50, 109 (1988).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. P.G. de Gennes, Scaling Concepts in Polymer Physics ( Cornell University, Ithaca, 1979 ).

    Google Scholar 

  13. A. Berretti and A.D. Sokal, J. Stat. Phys. 40, 483 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  14. V.I. Arnol’d, Dokl. Akad. Nank SSR, 108, 179 (1956).

    Google Scholar 

  15. A. Kolmogorov, Dokl. Akad. Nank SSR, 114, 679 (1957).

    MathSciNet  Google Scholar 

  16. D. Hilbert, Bull. Amer. Math. Soc. 8, 461 (1902).

    Article  MathSciNet  Google Scholar 

  17. G.G. Lorentz, “Representations of Functions”, Chelsea Publishing Co., New York, 1986.

    Google Scholar 

  18. I.P. Natanson, “Theory of Functions of a Real Variable”, Vol. 1, Ungar, New York, 1955.

    Google Scholar 

  19. K.D. Gibson and H.A. Scheraga, in “Structure and Expression”, Vol. 1, edited by M. Sarma and R. Sarma, Adenine Press, Guilderland, N.Y., 1988.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Frisch, H.L. (1990). Novel Contexts of Computer Simulation. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics II. Springer Proceedings in Physics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75234-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-75234-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75236-0

  • Online ISBN: 978-3-642-75234-6

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