Skip to main content
Log in

Ab initio path-integral molecular dynamics

  • Rapid Note
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

A path-integral molecular dynamics technique for strongly interacting atoms using ab initio potentials derived from density functional theory is implemented. This allows the efficient inclusion of nuclear quantum dispersion in ab initio simulations at finite temperatures. We present an application to the quantum cluster H +5 .

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Car, R., Parrinello, M.: Phys. Rev. Lett.55, 2471 (1985)

    Google Scholar 

  2. Remler, D.K., Madden, P.A.: Mol. Phys.70, 921 (1990); Galli, G., Parrinello, M.: In: Computer Simulations in Materials Science, p. 282. Meyer, M., Pontikis, V. (eds.). Dordrecht: Kluwer 1991; Payne, M.C., Teter, M.P., Allan, D.C., Arias, T.A., Joannopoulos, J.D.: Rev. Mod. Phys.64, 1045 (1992); especially the density functional aspect is reviewed by Jones, R.O., Gunnarson, O.: Rev. Mod. Phys.61, 689 (1989)

    Google Scholar 

  3. Berne, B.J., Thirumalai, D.: Annu. Rev. Phys. Chem.37, 401 (1986); Schmidt, K.E., Ceperley, D.M.: In: Monte Carlo Methods in Condensed Matter Physics. Binder, K. (ed.). Berlin, Heidelberg, New York: Springer 1992

    Google Scholar 

  4. Marx, D., Nielaba, P., Binder, K.: Phys. Rev. Lett.67, 3124 (1991); Phys. Rev. B47, 7788 (1993)

    Google Scholar 

  5. Parrinello, M., Rahman, A.: J. Chem. Phys.80, 860 (1984); De Raedt, B., Sprik, M., Klein, M.L.: J. Chem. Phys.80, 5719 (1984)

    Google Scholar 

  6. Hall, R.W., Berne, B.J.: J. Chem. Phys.81, 3641 (1984)

    Google Scholar 

  7. Martyna, G.J., Klein, M.L., Tuckerman, M.: J. Chem. Phys.97, 2635 (1992); Tuckerman, M.E., Berne, B.J., Martyna, G.J., Klein, M.L.: J. Chem. Phys.99, 2796 (1993)

    Google Scholar 

  8. Blöchl, P.E., Parrinello, M.: Phys. Rev. B45, 9413 (1992); Fois, E.S., Penman, J.I., Madden, P.A.: J. Chem. Phys.98, 6361 (1993); for reversible integration of NH chains within CPMD see Tuckerman, M.E., Parrinello, M.: J. Chem. Phys. (in press)

    Google Scholar 

  9. Yamaguchi, Y., Gaw, J.F., Remington, R.B., Schaefer III, H. F.: J. Phys. Chem.86, 5072 (1987); Špirko, V., Kraemer, W.P.: J. Mol. Spectrosc.159, 521 (1993)

    Google Scholar 

  10. Parameters: box size: 20 a.u., plane wave cutoff: 25 Ry, pseudopotential: exchange gradient-corrected [13] Car type (Giannozzi, P.: priv. comm.). Tests: (i) H2 bond length and harmonic frequency from Morse fit are 1.41(1.401) a.u. and 4430(4401) cm−1, experimental data in brackets; (ii) H +3 bond length is 1.66 a.u. (cf. 1.65000 a.u. from a benchmark study of Röhse, R., Kutzelnigg, W., Jaquet, R., Klopper, W.: subm. to J. Chem. Phys.); (iii) H2 ground-state nuclear density agreed with the one from the Morse wave functions,P: 32. H +5 quantum simulations:M *H : 4M H, time step: 20 a.u., μ: 3000 a.u. All calculations were performed without imposing periocic boundary conditions (Fois, E.S., Hutter, J.: to be published).Analyzed lengths of the quantum and classic runs were 6850 and 20 000 MD steps, respectively

  11. Nuclear exchange can be incorporated by introducing (bosonic or fixed-node fermionic) Monte Carlo permutation moves along the lines of Ceperley, D.M., Pollock, E.L.: Phys. Rev. Lett.56, 351 (1986); Ceperley, D.M.: Phys. Rev. Lett.69, 331 (1992)

    Google Scholar 

  12. Sindzingre, Ph., Ceperley, D.M., Klein, M.L.: Phys. Rev. Lett.67, 1871 (1991)

    Google Scholar 

  13. Becke, A.: Phys. Rev. A38, 3098 (1988); J. Chem. Phys.15 2155 (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marx, D., Parrinello, M. Ab initio path-integral molecular dynamics. Z. Physik B - Condensed Matter 95, 143–144 (1994). https://doi.org/10.1007/BF01312185

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01312185

PACS

Navigation