[Illinois] PHYS466 2013 Lecture 8: Correlations I

By David M. Ceperley1, George Daley2

1. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 2. University of Illinois at Urbana-Champaign

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Professor Ceperley received his BS in physics from the University of Michigan in 1971 and his Ph.D. in physics from Cornell University in 1976. After one year at the University of Paris and a second postdoc at Rutgers University, he worked as a staff scientist at both Lawrence Berkeley and Lawrence Livermore National Laboratories. In 1987, he joined the Department of Physics at Illinois. Professor Ceperley is a staff scientist at the National Center for Supercomputing Applications at Illinois.

Professor Ceperley's work can be broadly classified into technical contributions to quantum Monte Carlo methods and contributions to our physical or formal understanding of quantum many-body systems. His most important contribution is his calculation of the energy of the electron gas, providing basic input for most numerical calculations of electronic structure. He was one of the pioneers in the development and application of path integral Monte Carlo methods for quantum systems at finite temperature, such as superfluid helium and hydrogen under extreme conditions.

Professor Ceperley is a Fellow of the American Physical Society and a member of the American Academy of Arts and Sciences. He was elected to the National Academy of Sciences in 2006.

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Researchers should cite this work as follows:

  • David M. Ceperley; George Daley (2013), "[Illinois] PHYS466 2013 Lecture 8: Correlations I," http://nanohub.org/resources/16938.

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University of Illinois at Urbana-Champaign, Urbana, IL


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[Illinois] PHYS 466 Lecture 8: Correlations I
by: David M. Ceperley, George Daley
  • Scalar Properties, Static Correlations and Order Parameters 1. Scalar Properties, Static Corr… 0
  • Thermodynamic properties 2. Thermodynamic properties 320.69624942763181
  • Thermodynamic Estimators 3. Thermodynamic Estimators 741.183948715814
  • Microscopic Density 4. Microscopic Density 1046.5085959289015
  • Order parameters 5. Order parameters 1306.4622237022852
  • Slide 6: Untitled 6. Slide 6: Untitled 1308.4456562460975
  • Electron Density 2d quantum electron Wigner crystal 7. Electron Density 2d quantum el… 1501.5824001998085
  • Snapshots of densities 8. Snapshots of densities 1551.4161428630896
  • Density Distribution of 4He+(HCN)x Droplets 9. Density Distribution of 4He+(H… 1692.3638180077428
  • Pair Correlation Function: g(r) 10. Pair Correlation Function: g(r… 1843.9724430753861
  • g(r) 11. g(r) 2039.0926195729094
  • Example: g(r) in liquid and solid helium 12. Example: g(r) in liquid and so… 2171.858635474337
  • Pair correlation in water SPC J. Chem. Phys. 124, 024503 (2006) 13. Pair correlation in water SPC … 2674.6587853307246
  • g(r) for fcc and bcc lattices 14. g(r) for fcc and bcc lattices 2870.5227490321777
  • Slide 15: Untitled 15. Slide 15: Untitled 2951.3476251925235
  • The (Static) Structure Factor: S(k) 16. The (Static) Structure Factor:… 2954.694667610207
  • S(K) is measured in x-ray and neutron scattering 17. S(K) is measured in x-ray and … 2975.6446738542231