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David W. Snoke is a physics professor at the University of Pittsburgh in the Department of Physics and Astronomy. In 2006 he was elected a Fellow of the American Physical Society "for his pioneering work on the experimental and theoretical understanding of dynamical optical processes in semiconductor systems."[1] In 2004 he co-wrote a controversial paper with prominent intelligent design proponent Michael Behe. In 2007, his research group was the first to report Bose-Einstein condensation of polaritons in a trap.[2] David Snoke and theoretical physicist Jonathan Keeling recently published an article announcing a new era for polariton condensates saying that polaritons are arguably the " hope for harnessing the strange effects of quantum condensation and superfluidity in everyday applications." [3]

David W. Snoke
ResidencePittsburgh, Pennsylvania
Scientific career
InstitutionsUniversity of Pittsburgh in Pennsylvania
American Physical Society

Academic careerEdit

Snoke received his bachelors degree in physics from Cornell University and his PhD in physics from the University of Illinois at Urbana-Champaign. He has worked for The Aerospace Corporation and was a visiting scientist and Fellow at the Max Planck Institute.[4]

His experimental and theoretical research has focused on fundamental quantum mechanical processes in semiconductor optics, i.e. phase transitions of electrons and holes. Two main thrusts have been Bose-Einstein condensation of excitons [5][6][7][8][9] and polaritons.[10][2] He has also had minor efforts in numerical biology, and has published on the topic of the interaction of science and theology.

Bose-Einstein Condensation of PolaritonsEdit

Figure 1: Energy distribution of polaritons in equilibrium, at various densities. The solid lines are fits to the equilibrium Bose-Einstein distribution. The two sets of data at the highest densities are not fit to the Bose-Einstein distribution because they have a condensate which is strongly altered in its momentum distribution by interactions of the particles. From Ref.[11]

In 2007, Snoke’s research group at the University of Pittsburgh used stress to trap polaritons in confined regions, [2] similar to the way atoms are confined in traps for Bose–Einstein condensation experiments. The observation of polariton condensation in a trap was significant because the polaritons were displaced from the laser excitation spot, so that the effect could not be attributed to a simple nonlinear effect of the laser light. Later milestones from Snoke and collaborators include showing a clear difference between polariton condensation and standard lasing, [12] showing quantized circulation of a polariton condensate in a ring, [13] and the first clear demonstration of Bose-Einstein condensation of polaritons in equilibrium [11] (see Figure 1), in collaboration with the Keith Nelson group at MIT. Prior to this result, polariton condensates were always observed out of equilibrium. [14][15] For a general discussion of Bose-Einstein condensation of polaritons, see this page.

Nonequilibrium DynamicsEdit

The basic questions of how systems out of equilibrium approach equilibrium (“equilibration”, or “thermalization”) have involved longstanding deep questions of physics, sometimes called the thermodynamic “arrow of time,” with debates going back to Boltzmann. In 1989 Snoke was one of the first to perform simulations of the equilibration of a Bose-Einstein condensate, using numerical solution of the quantum Boltzmann equation .[16] In 1994 Snoke showed agreement of time-resolved experimental measurements of a particle distribution to solution of the quantum Boltzmann equation .[17] In 2012 he and theorist Steve Girvin published a seminal paper [18] on the justification of the Second Law of Thermodynamics based on analysis of the quantum Boltzmann equation, which has impacted the philosophy of the Second Law. [19] Other work by Snoke has included nonequilibrium dynamics of electron plasma [20] and the Mott transition from exciton gas to electron-hole plasma. [21]

Numerical BiologyEdit

In 2004, Snoke co-authored an article with Michael Behe, a senior fellow of the Discovery Institute's Center for Science and Culture, in the scientific journal Protein Science,[22] which received widespread criticism. Snoke’s contribution to the paper was an appendix which verified the numerical results with analytical calculations that showed the relevant power law, namely that for a novel feature requiring multiple neutral mutations, the time to fixation has a sublinear dependence on population size.

Behe has stated that the results of the paper support his notion of irreducible complexity, based on the calculation of the probability of mutations required for evolution to succeed. However, the published version did not address the concept directly; according to Behe, all references to irreducible complexity were eliminated prior to the paper's publication at the behest of the reviewers.[23] Michael Lynch authored a response,[24] to which Behe and Snoke responded.[25] Protein Science discussed the papers in an editorial.[26] Protein Science received letters that "contained many points of disagreement with the Behe and Snoke article", including the points that:[26]

  • Substantial variation in the rate of mutation fixation occurs, both between lineages and between sites on a protein during evolution. This is a central concept of modern population genetics [citations removed]
  • Changes in one site are known to cause changes in the mutation and acceptance rate at other sites in a protein, generally called "compensatory" changes [citations removed]
  • Recombination strongly accelerates the rate of joining of independent mutations at multiple sites and of grafting new domains with additional functions and sites of interaction to proteins to create new modes of action or regulation [citations removed]
  • Selection acts continuously, and cumulative effects, rather than a single strongly adaptive change, are the basis of evolution under a Darwinian model. Thus, intermediate states must also be assumed to be selected.

The paper's assumptions have been severely criticised and the conclusions it draws from its mathematical model have been both criticised and contradicted:

  • An essay criticised the paper for an "over-simplified the process, resulting in questionable conclusions", that "[t]heir assumptions bias their results towards more pessimistic numbers", including one assumption that is "probably false under all circumstances", another that is "probably false as a general rule" and assuming "much too high" a level of substitutions that would destroy the protein's function. It concludes "[a]nd ironically, despite these faulty assumptions, Behe and Snoke show that the probability of small multi-residue features evolving is extremely high, given the types of organisms that Behe and Snoke's model applies to."[27]
  • More recent research suggests that Behe and Snoke's model, and even Lynch's response, may have been "substantial underestimates" "of the rate of obtaining an adaptive combination of mutations".[28]
  • Biochemical analysis of the question has supported an orthodox evolutionary view and rejected Behe and Snoke's approach as an "unreasonable model which assume[s] 'leaps in thin air', such as the evolution of completely novel activities via multiple and simultaneous amino acid changes".[29]

On May 7, 2005, Behe described the paper in presenting arguments for irreducible complexity in his testimony at the Kansas evolution hearings.[30] At the Kitzmiller v. Dover Area School District trial later that year it was the one article referenced by both Behe and Scott Minnich as supporting intelligent design. In his ruling, Judge Jones noted that "A review of the article indicates that it does not mention either irreducible complexity or ID. In fact, Professor Behe admitted that the study which forms the basis for the article did not rule out many known evolutionary mechanisms and that the research actually might support evolutionary pathways if a biologically realistic population size were used."[31]

In 2014 David Snoke, along with coauthors Jeffrey Cox and Donald Petcher, published a numerical study of the evolution of novel structures, in the journal Complexity.[32] The model addressed the fundamental problem of the tradeoff of the cost of allowing novel structures which are not yet functional, versus the benefit of the eventual new function. It was shown that natural assumptions for these tradeoffs lead to severe constraints on the production of new structures, with most scenarios leading to a dramatic increase of useless, or “vestigial,” structures in a population. The lack of observation of such large vestigiality points to fine tuning of the mechanisms of evolution.

Science and TheologyEdit

His book, A Biblical Case for an Old Earth (Baker Books, 2006) was described in a review by Law Professor David W. Opderbeck, in the American Scientific Affiliation's Perspectives on Science and Christian Faith as "succeed[ing] admirably" in "establish[ing] that the 'day-age' view is a valid alternative for Christians who hold to biblical inerrancy", but as "less persuasive" at "argu[ing] for a concordist understanding of the Genesis texts and modern science."[33] Snoke was elected a Fellow of the American Scientific Affiliation in 2006.[4] In 2014 he published a review article for the Discovery Institute .[34] arguing that the prevailing paradigm of modern systems biology favors an intelligent design perspective, namely that systems biologists commonly assume a “good design” paradigm.


  • Solid State Physics: Essential Concepts, published by Addison-Wesley (2008). ISBN 978-0-8053-8664-6
  • A Biblical Case for an Old Earth, published by Baker Books (2006). ISBN 0-8010-6619-0
  • Natural Philosophy: Physics and Western Thought, distributed by Access Research Network (2003).
  • Bose–Einstein Condensation, published by Cambridge University Press (1996). ISBN 978-0-521-58990-1; ISBN 0-521-58990-8
  • Bose-Einstein Condensation of Excitons and Biexcitons, published by Cambridge University Press (1999). ISBN 978-0521580991; ISBN 0521580994
  • Universal Themes of Bose-Einstein Condensation, published by Cambridge University Press (2017). ISBN 978-1107085695; ISBN 1107085691

External linksEdit


  1. ^ Archive (1995-present), American Physical Society
  2. ^ a b c R. Balili; V. Hartwell; D.W. Snoke; L. Pfeiffer; K. West (2007). "Bose-Einstein Condensation of Microcavity Polaritons in a Trap". Science. 316 (5827): 1007–10. Bibcode:2007Sci...316.1007B. doi:10.1126/science.1140990. PMID 17510360.
  3. ^ David Snoke; Jonathan Keeling (2017). "The new era of polariton condensates". Physics Today. 70 (10): 54. Bibcode:2017PhT....70j..54S. doi:10.1063/PT.3.3729.
  4. ^ a b "ASA newsletters, November/December 2006" (PDF). Cite journal requires |journal= (help)
  5. ^ D.W. Snoke; W.W. Ruehle; Y.-C. Lu; E. Bauser (1992). "Nonthermal Distribution of Electrons on Picosecond Timescale in GaAs". Physical Review Letters. 68 (7): 990–993. Bibcode:1992PhRvL..68..990S. doi:10.1103/PhysRevLett.68.990. PMID 10046050.
  6. ^ D.W. Snoke (1992). "Density dependence of electron scattering at low density". Physical Review B. 50 (16): 11583–11591. Bibcode:1994PhRvB..5011583S. doi:10.1103/PhysRevB.50.11583.
  7. ^ D.W. Snoke; D. Braun; M. Cardona (1991). "Carrier thermalization in Cu2O: Phonon emission by excitons". Physical Review B. 44 (7): 2991. Bibcode:1991PhRvB..44.2991S. doi:10.1103/PhysRevB.44.2991.
  8. ^ D.W. Snoke; J.D. Crawford (1995). "Hysteresis in the Mott transition between plasma and insulating gas". Physical Review E. 52 (6): 5796. arXiv:cond-mat/9507116. Bibcode:1995PhRvE..52.5796S. doi:10.1103/PhysRevE.52.5796.
  9. ^ D.W. Snoke (2008). "Hysteresis in the Mott transition between plasma and insulating gas". Solid State Communications. 146: 73. arXiv:0709.1415. Bibcode:2008SSCom.146...73S. doi:10.1016/j.ssc.2008.01.012.
  10. ^ Z. Voros; D. Snoke; L. Pfeiffer; K. West (2006). "Trapping Excitons in a Two-Dimensional In-Plane Harmonic Potential: Experimental Evidence for Equilibration of Indirect Excitons". Physical Review Letters. 97 (1): 016803. Bibcode:2006PhRvL..97a6803V. doi:10.1103/PhysRevLett.97.016803. PMID 16907396.
  11. ^ a b Y.N. Sun; et al. (2017). "Bose-Einstein Condensation of long-lifetime polaritons in thermal equilibrium". Physical Review Letters. 118 (1): 016602. arXiv:1601.02581. Bibcode:2017PhRvL.118a6602S. doi:10.1103/PhysRevLett.118.016602. PMID 28106443.
  12. ^ B. Nelsen; R. Balili; D.W. Snoke; L. Pfeiffer; K. West (2009). "Lasing and polariton condensation: Two distinct transitions in GaAs microcavities with stress traps". J. Applied Phys. 105 (12): 122414. Bibcode:2009JAP...105l2414N. doi:10.1063/1.3140822.
  13. ^ G.Q. Liu; D.W. Snoke; A. Daley; L. Pfeiffer; K. West (2015). "A new type of half-quantum circulation in a macroscopic polariton spinor ring condensate". Proc. Natl. Acad. Sci. 112 (9): 2676. arXiv:1402.4339. Bibcode:2015PNAS..112.2676L. doi:10.1073/pnas.1424549112. PMC 4352789. PMID 25730875.
  14. ^ See e.g.; T. Byrnes; Na Young Kim; Y. Yamamoto (2014). "Exciton=-polariton condensates". Nature Physics. 10 (11): 803. arXiv:1411.6822. Bibcode:2014NatPh..10..803B. doi:10.1038/nphys3143.
  15. ^ See also; D. Sanvitto; S. Kéna-Cohen (2016). "The road towards polaritonic devices". Nature Materials. 15 (10): 1061. Bibcode:2016NatMa..15.1061S. doi:10.1038/nmat4668. PMID 27429208.
  16. ^ D.W. Snoke; J.P. Wolfe (1989). "Population-Dynamics of a Bose-Gas Near Saturation". Physical Review B. 39 (7): 4030. Bibcode:1989PhRvB..39.4030S. doi:10.1103/PhysRevB.39.4030.
  17. ^ D.W. Snoke; D. Braun; M. Cardona (1991). "Carrier thermalization in Cu_2O: Phonon emission by excitons". Physical Review B. 44 (7): 2991. Bibcode:1991PhRvB..44.2991S. doi:10.1103/PhysRevB.44.2991.
  18. ^ D.W. Snoke; G.Q. Liu; S.M. Girvin (2012). "The basis of the Second Law of thermodynamics in quantum field theory". Annals of Physics. 327 (7): 1825. arXiv:1112.3009. Bibcode:2012AnPhy.327.1825S. doi:10.1016/j.aop.2011.12.016.
  19. ^ Brown, Harvey R. (2017). "Section 8: Once and for all: the curious role of probability in the Past Hypothesis".
  20. ^ D.W. Snoke (1992). "Density dependence of electron scattering at low density". Physical Review B. 50 (16): 11583–11591. Bibcode:1994PhRvB..5011583S. doi:10.1103/PhysRevB.50.11583.
  21. ^ D.W. Snoke (2008). "Predicting the ionization threshold for carriers in excited semiconductors". Solid State Communications. 146: 73–77. arXiv:0709.1415. Bibcode:2008SSCom.146...73S. doi:10.1016/j.ssc.2008.01.012.
  22. ^ Michael Behe and David W. Snoke (2004). "Simulating evolution by gene duplication of protein features that require multiple amino acid residues". Protein Science. 13 (10): 2651–2664. doi:10.1110/ps.04802904. PMC 2286568. PMID 15340163.
  23. ^ Michael J. Behe, Day 10, morning testimony, in Kitzmiller v. Dover Area School District, trial transcript page 46 [1] Archived 2008-08-20 at the Wayback Machine
  24. ^ Michael Lynch (2005). "Simple evolutionary pathways to complex proteins". Protein Science. 14 (9): 2217–2225. doi:10.1110/ps.041171805. PMC 2253472. PMID 16131652.
  25. ^ Michael Behe; David W. Snoke (2005). "A response to Michael Lynch". Protein Science. 14 (9): 2226. doi:10.1110/ps.051674105. PMC 2253464.
  26. ^ a b Mark Hermodson (2005). "Editorial and position papers". Protein Science. 14 (9): 2215. doi:10.1110/ps.051654305. PMC 2253483.
  27. ^ Theory is as Theory Does, Ian F. Musgrave, Steve Reuland, and Reed A. Cartwright, Talk Reason
  28. ^ Masel, Joanna (March 2006). "Cryptic Genetic Variation Is Enriched for Potential Adaptations". Genetics. 172 (3): 1985–1991. doi:10.1534/genetics.105.051649. PMC 1456269. PMID 16387877.
  29. ^ Afriat, Livnat; Cintia Roodveldt; Giuseppe Manco; Dan S. Tawfik (November 21, 2006). "The Latent Promiscuity of Newly Identified Microbial Lactonases Is Linked to a Recently Diverged Phosphotriesterase" (PDF). Biochemistry. 45 (46): 13677. doi:10.1021/bi061268r.
  30. ^ "Kansas Evolution Hearings: Michael Behe and John Calvert". Retrieved 2008-03-10.
  31. ^ Kitzmiller v. Dover Area School District, 400 F. Supp. 2d 707, 745 (M.D.Pa December 20, 2005). , docket # 04cv2688, Ruling, page 88
  32. ^ David W. Snoke; Jeffrey Cox; Donald Pletcher (2014). "Suboptimality and Complexity in Evolution". Complexity. 21: 322. Bibcode:2015Cmplx..21a.322S. doi:10.1002/cplx.21566.
  33. ^ Opderbeck, David W. (2007). "Review of 'A Biblical Case for an Old Earth'". Perspectives on Science and Christian Faith. American Scientific Affiliation.
  34. ^ D.W. Snoke (2014). "Systems Biology as a Research Program for Intelligent Design". Solid State Communications. 2014 (3). doi:10.5048/BIO-C.2014.3.