[Illinois] PHYS466 2013 Lecture 20: Long Range Potentials I

By David M. Ceperley

Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL

Published on

Abstract


Bio

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.

Cite this work

Researchers should cite this work as follows:

  • David M. Ceperley (2013), "[Illinois] PHYS466 2013 Lecture 20: Long Range Potentials I," https://nanohub.org/resources/18089.

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Time

Location

University of Illinois, Urbana-Champaign, IL

Submitter

NanoBio Node, George Michael Daley

University of Illinois at Urbana-Champaign

Tags

[Illinois] PHYS 466 Lecture 20: Long Range Potentials I
  • Continuum of Methods 1. Continuum of Methods 0
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  • Monte Carlo Dynamics 2. Monte Carlo Dynamics 57.754395916052182
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  • Smart Monte Carlo 3. Smart Monte Carlo 77.0528967254408
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  • Brownian Dynamics 4. Brownian Dynamics 77.937110294421274
    00:00/00:00
  • Local Markov process 5. Local Markov process 79.642379320312173
    00:00/00:00
  • General Form of Evolution 6. General Form of Evolution 98.210864268902
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  • How do we prove dynamics is unique? 7. How do we prove dynamics is un… 150.88472973530992
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  • Moment Expansion 8. Moment Expansion 151.01104595944997
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  • Trotter's formula 9. Trotter's formula 179.11640583061487
    00:00/00:00
  • Generalized Trotter Formula 10. Generalized Trotter Formula 179.7479869513152
    00:00/00:00
  • Evaluation of diffusion term 11. Evaluation of diffusion term 208.1059792707602
    00:00/00:00
  • Green's function for a gradient 12. Green's function for a gradien… 216.69548251228474
    00:00/00:00
  • Using a symmetrized operator 13. Using a symmetrized operator 217.7060123054053
    00:00/00:00
  • Summary of Brownian Dynamics 14. Summary of Brownian Dynamics 218.96917454680596
    00:00/00:00
  • Hydrodynamical effects 15. Hydrodynamical effects 532.549200974522
    00:00/00:00
  • Langevin Equation 16. Langevin Equation 547.64398975926008
    00:00/00:00
  • From A&T Chpt. 6 17. From A&T Chpt. 6 723.160383201883
    00:00/00:00
  • Dissipative Particle Dynamics (DPD) FS 465, Hoogerbrugge, Koelman 93 18. Dissipative Particle Dynamics … 774.00266341825989
    00:00/00:00
  • How to do the DPD 19. How to do the DPD 1241.3726927365074
    00:00/00:00
  • Neighbor Tables Long-Range Potentials 20. Neighbor Tables Long-Range Pot… 1420.2996242309123
    00:00/00:00
  • Periodic distances 21. Periodic distances 1433.373353429409
    00:00/00:00
  • Perturbation theory 22. Perturbation theory 1689.858446545815
    00:00/00:00
  • Complexity of Force Calculations 23. Complexity of Force Calculatio… 1834.8694718586116
    00:00/00:00
  • CLAMPS uses bin-sort method for neighbor tables 24. CLAMPS uses bin-sort method fo… 1891.2696659371516
    00:00/00:00
  • CLAMPS uses bin-sort method for neighbor tables 25. CLAMPS uses bin-sort method fo… 1893.9854647561629
    00:00/00:00
  • CLAMPS uses the bin-sort method 26. CLAMPS uses the bin-sort metho… 1896.2591567906843
    00:00/00:00
  • Charged systems 27. Charged systems 1898.9749556096956
    00:00/00:00
  • 1-D Madelung Sum: Prelude to Ewald Sum 28. 1-D Madelung Sum: Prelude to E… 2069.5018581987861
    00:00/00:00
  • Long-Ranged Potentials 29. Long-Ranged Potentials 2069.5018581987861
    00:00/00:00
  • What is Long-Ranged Potential? 30. What is Long-Ranged Potential? 2069.5018581987861
    00:00/00:00
  • Use Fourier Transform: large r=small k 31. Use Fourier Transform: large r… 2069.5018581987861
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  • Origin of Convergence Problem 32. Origin of Convergence Problem 2069.5018581987861
    00:00/00:00
  • Ewald summation method 33. Ewald summation method 2069.5018581987861
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  • Classic Ewald 34. Classic Ewald 2069.5018581987861
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  • Classic Ewald 35. Classic Ewald 2069.5018581987861
    00:00/00:00