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Phase Transitions and Quantum Effects in Systems with Reduced Geometry

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High Performance Computing in Science and Engineering ’01

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Abstract

We discuss phase transition and quantum effects in pore condensates as well as the determination of elastic constants and analyze the melting of hard disk systems. Particular emphasis is put on the efficiency of our parallel algorithm for our path integral Monte Carlo simulations.

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References

  1. Z. Zhang, A. Chakrabarti, Phys. Rev. E 50, R4290 (1994); J.C. Lee, Phys. Rev. Lett. 70, 3599 (1993); A. Chakrabarti, Phys. Rev. Lett. 69, 1548 (1992); A.J. Liu, G.S. Grest, Phys. Rev. A 44, R7894 (1991); A.J. Liu, D.J. Durian, E. Herbolzheimer, S.A. Safran, Phys. Rev. Lett. 65, 1897 (1990); L. Monette, A.J. Liu, G.S. Grest, Phys. Rev. A 46, 7664 (1992); Z. Zhang, A. Chakrabarti, Phys. Rev. E 52, 2736 (1995).

    Google Scholar 

  2. M.W. Maddox, K.E. Gubbins, M. Sliwinska-Bartkowiak, Soong-hyuck Suh, Mol. Simulat. 17, 333 (1997); M.W. Maddox, K.E. Gubbins, J. Chem. Phys. 107, 9659 (1997); R. Radhakrishnan, K.E. Gubbins, Phys. Rev. Lett. 79, 2847 (1997); L.D. Gelb, K.E. Gubbins, Phys. Rev. E 56, 3185 (1997); P. Huber, K. Knorr, Phys. Rev.B 60, 12657 (1999).

    Google Scholar 

  3. J. Hoffmann, Ph.D.-thesis, University of Konstanz (in preparation).

    Google Scholar 

  4. J. Hoffmann, P. Nielaba, preprint.

    Google Scholar 

  5. D. Wallacher, K. Knorr, Phys. Rev. B63, 104–202 (2001).

    Google Scholar 

  6. P. Nielaba, in: Computational Methods in Surface and Colloid Science, M. Borowko (Ed.), Marcel Dekker Inc., New York (2000), pp.77–134.

    Chapter  Google Scholar 

  7. M. Presber, D. Löding, R. Martonak, P. Nielaba, Phys. Rev. B 58, 11937 (1998).

    Google Scholar 

  8. M. Reber, D. Löding, M. Presber, Chr. Rickward, P. Nielaba, Comp. Phys. Commun. 121-122, 524 (1999).

    Article  Google Scholar 

  9. C. Rickwardt, P. Nielaba, M.H. Müser, K. Binder, Phys.Rev. B63 045204 (2001).

    Google Scholar 

  10. D.P. Landau, K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press (2000).

    Google Scholar 

  11. S. Sengupta, P. Nielaba, M. Rao, K. Binder, Phys. Rev. E 61, 1072 (2000).

    Article  Google Scholar 

  12. P.M. Chaikin, T.C. Lubensky, Principles of condensed matter physics, (Cambridge University Press, Cambridge, 1995).

    Book  Google Scholar 

  13. D. C. Wallace, in Solid state physics, eds. H. Ehrenreich, F. Seitz and D. Turn-bull (Academic Press, New York, 1958); J. H. Weiner, Statistical mechanics of elasticity (Wiley, New York, 1983).

    Google Scholar 

  14. K.W. Wojciechowski, A.C. Brańka, Phys. Lett. 134A, 314 (1988).

    Google Scholar 

  15. F. Seitz, Modern Theory of Solids (McGaraw-Hill, New York, 1940); M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, Oxford, 1954); For experimental temperature dependent elastic constants of solid argon see: H. Meixner, P. Leiderer, P. Berberich and E. Lüscher, Phys. Lett. 40A, 257 (1972).

    MATH  Google Scholar 

  16. V.N. Ryzhov, E.E. Tareyeva, Phys. Rev. B51, 8789 (1995).

    Google Scholar 

  17. B.J. Alder, T.E. Wainwright, Phys.Rev. 127, 359 (1962).

    Article  Google Scholar 

  18. J. Lee and K. Strandburg, Phys. Rev. B46, 11190 (1992).

    Google Scholar 

  19. J.A. Zollweg, G.V. Chester, Phys.Rev. B46, 11186 (1992).

    Google Scholar 

  20. T. V. Ramakrishnan, Phys. Rev. Lett. 42, 795 (1979); X. C. Zeng and D. W. Oxtoby, J. Chem. Phys. 93, 2692 (1990); Y. Rosenfeld, Phys. Rev. A42, 5978 (1990). V. N. Ryzhov and E. E. Tareyeva, Phys. Rev. B51, 8789 (1995).

    Article  Google Scholar 

  21. A. Jaster, Phys. Rev. E 59, 2594 (1999).

    Article  Google Scholar 

  22. J. M. Kosterlitz, D. J. Thouless, J. Phys. C 6, 1181 (1973); B.I. Halperin and D.R. Nelson, Phys. Rev. Lett. 41, 121 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979); A.P. Young, Phys. Rev. B 19, 1855 (1979).

    Google Scholar 

  23. S. Sengupta, P. Nielaba, K. Binder, Phys. Rev. E 61, 6294 (2000).

    Google Scholar 

  24. K. Zahn, R. Lenke and G. Maret, Phys. Rev. Lett. 82, 2721, (1999)

    Article  Google Scholar 

  25. K. W. Wojciechowski and A. C. Brañka, Phys. Lett. 134A, 314 (1988).

    Google Scholar 

  26. M. Bates and D. Frenkel, preprint.

    Google Scholar 

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Authors and Affiliations

  1. Physics Department (Theory), University of Konstanz, 78457, Konstanz, Germany

    J. Hoffmann & P. Nielaba

Authors
  1. J. Hoffmann
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  2. P. Nielaba
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Editor information

Editors and Affiliations

  1. Aerodynamisches Institut der RWTH Aachen, Wuellnerstraße zw. 5 u. 7, 52062, Aachen, Germany

    Egon Krause

  2. Institut für Wissenschaftliches Rechnen, Universität Heidelberg, Im Neuenheimer Feld 368, 69120, Heidelberg, Germany

    Willi Jäger

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Hoffmann, J., Nielaba, P. (2002). Phase Transitions and Quantum Effects in Systems with Reduced Geometry. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_8

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  • DOI: https://doi.org/10.1007/978-3-642-56034-7_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62719-4

  • Online ISBN: 978-3-642-56034-7

  • eBook Packages: Springer Book Archive

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