[Illinois] PHYS466 2013 Lecture 34: Diffusion MC

By David M. Ceperley

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

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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 34: Diffusion MC," https://nanohub.org/resources/18197.

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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 34: Diffusion MC
  • Basic DMC algorithm 1. Basic DMC algorithm 0
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  • Population Bias 2. Population Bias 250.87904191616767
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  • Importance Sampling Kalos 1970, Ceperley 1979 3. Importance Sampling Kalos 1970… 316.11840698122086
    00:00/00:00
  • Forward Walking Kalos et al. 1974. 4. Forward Walking Kalos et al. 1… 347.11040766565429
    00:00/00:00
  • Importance Sampling Kalos 1970, Ceperley 1979 5. Importance Sampling Kalos 1970… 414.67296915771908
    00:00/00:00
  • Forward Walking Kalos et al. 1974. 6. Forward Walking Kalos et al. 1… 484.21901869358766
    00:00/00:00
  • Mixed estimators 7. Mixed estimators 733.51867219917
    00:00/00:00
  • Forward Walking Kalos et al. 1974. 8. Forward Walking Kalos et al. 1… 983.93403772939223
    00:00/00:00
  • Mixed estimators 9. Mixed estimators 1075.2984557471018
    00:00/00:00
  • Forward Walking Kalos et al. 1974. 10. Forward Walking Kalos et al. 1… 1100.5879283055995
    00:00/00:00
  • Fusion sticking coefficient Phys. Rev. A 31, 1999 (1985). 11. Fusion sticking coefficient Ph… 1134.5551610557386
    00:00/00:00
  • Model fermion problem: Particle in a box 12. Model fermion problem: Particl… 1251.704923642897
    00:00/00:00
  • Exact fermion calculations 13. Exact fermion calculations 1472.2440005133251
    00:00/00:00
  • Scaling in Released-Node 14. Scaling in Released-Node 1483.1531847542456
    00:00/00:00
  • Model fermion problem: Particle in a box 15. Model fermion problem: Particl… 1519.9716815673526
    00:00/00:00
  • Scaling in Released-Node 16. Scaling in Released-Node 1526.2940497069769
    00:00/00:00
  • Exact fermion calculations 17. Exact fermion calculations 1531.9965778329126
    00:00/00:00
  • General statement of the 18. General statement of the "ferm… 1612.6997476151773
    00:00/00:00
  • Scaling in Released-Node 19. Scaling in Released-Node 1774.4779911879198
    00:00/00:00
  • General statement of the 20. General statement of the "ferm… 1814.7675920776833
    00:00/00:00
  • 21. "Solved Problems" 1848.7348248278222
    00:00/00:00
  • The sign problem 22. The sign problem 1889.0244257175857
    00:00/00:00
  • General statement of the 23. General statement of the "ferm… 1948.5290670316979
    00:00/00:00
  • The sign problem 24. The sign problem 2026.6289087564699
    00:00/00:00
  • Fixed-node method 25. Fixed-node method 2138.0761432176928
    00:00/00:00
  • Model fermion problem: Particle in a box 26. Model fermion problem: Particl… 2178.1178081019807
    00:00/00:00
  • Fixed-node method 27. Fixed-node method 2230.1843692518287
    00:00/00:00
  • Proof of fixed-node theorem 28. Proof of fixed-node theorem 2282.9947384181032
    00:00/00:00
  • Fixed-node method 29. Fixed-node method 2395.4337169012274
    00:00/00:00
  • Model fermion problem: Particle in a box 30. Model fermion problem: Particl… 2415.5165333447408
    00:00/00:00
  • Fixed-node method 31. Fixed-node method 2506.2611113487619
    00:00/00:00
  • Nodal Properties 32. Nodal Properties 2546.5507122385252
    00:00/00:00
  • Fixed-Phase method Ortiz, Martin, DMC 1993 33. Fixed-Phase method Ortiz, Mart… 2648.452410488942
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  • Summary of T=0 methods 34. Summary of T=0 methods 2819.9001582752276
    00:00/00:00