Joshua Socolar | Scholars@Duke

Joshua Socolar
Professor of Physics

Prof. Socolar is interested in collective behavior in condensed matter and dynamical systems. His current research interests include:

Limit-periodic structures, quasicrystals, packing problems, and tiling theory;
Self-assembly and phases of designed colloidal particles;
Organization and dynamics of complex networks;
Topological elasticity of mechanical lattices.

Current Appointments & Affiliations

Professor of Physics, Physics, Trinity College of Arts & Sciences 2011

Contact Information

096 Physics Bldg, Durham, NC 27708
Box 90305, 107 Physics Bldg, Durham, NC 27708-0305
socolar@phy.duke.edu (919) 660-2557

Background
Education, Training, & Certifications
- Ph.D., University of Pennsylvania 1987
- B.A., Haverford College 1980
Duke Appointment History
- Associate Professor of Physics, Physics, Trinity College of Arts & Sciences 1999 - 2011
- Assistant Professor, Physics, Trinity College of Arts & Sciences 1992 - 1999
Recognition
In the News
- JAN 20, 2014
  
  Faculty Council Reboots Campus Conversation on Diversity
- JAN 14, 2014
  
  Faculty to Begin Conversation on Diversity
- SEP 16, 2013
  
  New Academic Council Chair Begins 2013-14 Term
- MAR 25, 2010 MIT Technology Review
  
  First Aperiodic Tiling With A Single Shape
Awards & Honors
Expertise
Global Scholarship
- Research
  - France (Country)
Research
Selected Grants
- Stick-slip dynamics and failure in granular materials awarded by Army Research Office 2018 - 2021
- Structure, Response, and Flow of Dense Granular Materials awarded by National Science Foundation 2018 - 2021
- Bioinformatics and Computational Biology Training Program awarded by National Institutes of Health 2005 - 2021
- The Dynamical Logic of Regulatory Networks awarded by National Science Foundation 2011 - 2015
- Duke Center for Systems Biology - Core A awarded by National Institutes of Health 2007 - 2013
- Collaborative Research: Dynamics of Boolean Networks and Gene Expression awarded by National Science Foundation 2004 - 2007
- Dynamics of Boolean Networks and Gene Expressions awarded by National Science Foundation 2003 - 2005
- Force Propagation and Friction in Granular Materials awarded by National Science Foundation 2002 - 2005
- NIST Summer Undergraduate Research Fellowship Program awarded by National Institute for Standards and Technology 2003
- Spatiotemporal Control without Reference States awarded by National Science Foundation 1998 - 2001
- (98-0276) Conference: Dynamics Day 1998 awarded by Office of Naval Research 1997 - 1998
- (94-0562) Ordering Mechanisms in Dynamical Systems awarded by National Science Foundation 1994 - 1997
- (95-0985) Ordering Mechanisms in Dynamical Systems awarded by National Science Foundation 1994 - 1997
- (96-0803) Ordering Mechanisms in Dynamical Systems awarded by National Science Foundation 1994 - 1997
Fellowships, Supported Research, & Other Grants
- Junior Fellow awarded by Harvard Society of Fellows 1987 - 1990
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Oğuz, EC, Socolar, JES, Steinhardt, PJ, and Torquato, S. "Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings." Acta Crystallographica. Section A, Foundations and Advances 75, no. Pt 1 (January 2019): 3-13. Full Text
  - Pham, AT, Zhuang, Y, Detwiler, P, Socolar, JES, Charbonneau, P, and Yellen, BB. "Phase diagram and aggregation dynamics of a monolayer of paramagnetic colloids." Physical review. E 95, no. 5-1 (May 12, 2017): 052607-. Full Text Open Access Copy
  - Oǧuz, EC, Socolar, JES, Steinhardt, PJ, and Torquato, S. "Hyperuniformity of quasicrystals." Physical Review B 95, no. 5 (February 23, 2017). Full Text
  - Rutkowski, DM, Marcoux, C, Socolar, JES, and Hall, CK. "Formation of limit-periodic structures by quadrupole particles confined to a triangular lattice." Physical Review E 95, no. 1 (January 10, 2017). Full Text
  - Hann, CT, Socolar, JES, and Steinhardt, PJ. "Local growth of icosahedral quasicrystalline tilings." Physical Review B 94, no. 1 (July 14, 2016). Full Text
  - Marcoux, C, and Socolar, JES. "Sparse phonon modes of a limit-periodic structure." Physical Review B Condensed Matter and Materials Physics 93, no. 17 (May 1, 2016). Full Text Link to Item
  - Fu, L, Steinhardt, W, Zhao, H, Socolar, JES, and Charbonneau, P. "Hard sphere packings within cylinders." Soft Matter 12, no. 9 (March 2016): 2505-2514. Full Text Open Access Copy
  - Marcoux, C, Byington, TW, Qian, Z, Charbonneau, P, and Socolar, JES. "Erratum: Emergence of limit-periodic order in tiling models (Physical Review E - Statistical, Nonlinear, and Soft Matter Physics (2014) 90 (012136))." Physical Review E 93, no. 2 (February 29, 2016). Full Text Open Access Copy
  - Yang, Y, Fu, L, Marcoux, C, Socolar, JES, Charbonneau, P, and Yellen, BB. "Phase transformations in binary colloidal monolayers." Soft matter 11, no. 12 (March 2015): 2404-2415. Full Text Open Access Copy
  - Sun, M, Cheng, X, and Socolar, JES. "Regulatory logic and pattern formation in the early sea urchin embryo." Journal of theoretical biology 363 (December 2014): 80-92. Full Text
  - Marcoux, C, Byington, TW, Qian, Z, Charbonneau, P, and Socolar, JES. "Emergence of limit-periodic order in tiling models." Physical review. E, Statistical, nonlinear, and soft matter physics 90, no. 1 (July 29, 2014): 012136-. Full Text Open Access Copy
  - Cheng, X, Lyons, DC, Socolar, JES, and McClay, DR. "Delayed transition to new cell fates during cellular reprogramming." Developmental biology 391, no. 2 (July 2014): 147-157. Full Text
  - Sun, M, Cheng, X, and Socolar, JES. "Causal structure of oscillations in gene regulatory networks: Boolean analysis of ordinary differential equation attractors." Chaos 23, no. 2 (June 2013): 025104-. Full Text Link to Item
  - Cheng, X, Sun, M, and Socolar, JES. "Autonomous Boolean modelling of developmental gene regulatory networks." Journal of the Royal Society Interface 10, no. 78 (January 6, 2013). Full Text
  - Cheng, X, Sun, M, and Socolar, JES. "Autonomous Boolean modelling of developmental gene regulatory networks." Journal of the Royal Society Interface 10, no. 78 (January 2013): 20120574-null. Full Text
  - Byington, T, and Socolar, JES. "Hierarchical freezing of limit-periodic structure (In preparation)." Physical Review E (November 12, 2012). (Academic Article)
  - Gong, X, and Socolar, JES. "Quantifying the complexity of random Boolean networks." Phys Rev E Stat Nonlin Soft Matter Phys 85, no. 6 Pt 2 (June 2012): 066107-. Full Text Link to Item
  - Durrett, R, Gleeson, JP, Lloyd, AL, Mucha, PJ, Shi, F, Sivakoff, D, Socolar, JES, and Varghese, C. "Graph fission in an evolving voter model." Proc Natl Acad Sci U S A 109, no. 10 (March 6, 2012): 3682-3687. Full Text Link to Item
  - Socolar, JES, and Taylor, JM. "Forcing Nonperiodicity with a Single Tile." The Mathematical Intelligencer 34, no. 1 (March 2012): 18-28. Full Text
  - Byington, TW, and Socolar, JES. "Hierarchical freezing in a lattice model." Phys Rev Lett 108, no. 4 (January 27, 2012): 045701-. Full Text Link to Item
  - Khalil, KS, Sagastegui, A, Li, Y, Tahir, MA, Socolar, JES, Wiley, BJ, and Yellen, BB. "Binary colloidal structures assembled through Ising interactions." Nature Communications 3 (January 2012): 794-null. Full Text
  - Sun, M, and Socolar, JES. "Comparison of autonomous Boolean network dynamics and ODE models (In preparation)." Chaos (2012). (Academic Article)
  - Socolar, JES. "Local action, global impact: forcing nonperiodicity with a single structural unit." Chaos 21, no. 4 (December 2011): 041106-. Full Text Link to Item
  - Socolar, JES, and Taylor, JM. "An aperiodic hexagonal tile." Journal of Combinatorial Theory. Series A 118, no. 8 (November 1, 2011): 2207-2231. Full Text
  - Sevim, V, Gong, X, and Socolar, JES. "Reliability of transcriptional cycles and the yeast cell-cycle oscillator. (Published online)" PLoS Comput Biol 6, no. 7 (July 8, 2010): e1000842-. Full Text Open Access Copy Link to Item
  - Cavalcante, HLDDS, Gauthier, DJ, Socolar, JES, and Zhang, R. "On the origin of chaos in autonomous Boolean networks." Philos Trans A Math Phys Eng Sci 368, no. 1911 (January 28, 2010): 495-513. Full Text Link to Item
  - Sevim, V, Gong, X, and Socolar, JES. "Reliability of transcriptional cycles and the yeast cell-cycle oscillator." PLoS computational biology 6, no. 7 (2010): e1000842-. Full Text
  - Zhang, R, de S Cavalcante, HLD, Gao, Z, Gauthier, DJ, Socolar, JES, Adams, MM, and Lathrop, DP. "Boolean chaos." Phys Rev E Stat Nonlin Soft Matter Phys 80, no. 4 Pt 2 (October 2009): 045202-. Full Text Link to Item
  - Norrell, J, and Socolar, JE. "Boolean modeling of collective effects in complex networks." Phys Rev E Stat Nonlin Soft Matter Phys 79, no. 6 (June 8, 2009): nihpa131303-null. Full Text Link to Item
  - Orlando, DA, Lin, CY, Bernard, A, Wang, JY, Socolar, JES, Iversen, ES, Hartemink, AJ, and Haase, SB. "Global control of cell-cycle transcription by coupled CDK and network oscillators." Nature 453, no. 7197 (June 2008): 944-947. Full Text
  - "Time-Delay Control for Discrete Maps." (May 20, 2008): 29-45. (Chapter) Full Text
  - Tighe, BP, and Socolar, JES. "Nonlinear elastic stress response in granular packings." Phys Rev E Stat Nonlin Soft Matter Phys 77, no. 3 Pt 1 (March 2008): 031303-. Full Text Link to Item
  - Ribeiro, AS, Kauffman, SA, Lloyd-Price, J, Samuelsson, B, and Socolar, JES. "Mutual information in random Boolean models of regulatory networks." Phys Rev E Stat Nonlin Soft Matter Phys 77, no. 1 Pt 1 (January 2008): 011901-. Full Text Link to Item
  - Berger, CM, Cain, JW, Socolar, JES, and Gauthier, DJ. "Control of electrical alternans in simulations of paced myocardium using extended time-delay autosynchronization." Phys Rev E Stat Nonlin Soft Matter Phys 76, no. 4 Pt 1 (October 2007): 041917-. Full Text Link to Item
  - Norrell, J, Samuelsson, B, and Socolar, JES. "Attractors in continuous and Boolean networks." Phys Rev E Stat Nonlin Soft Matter Phys 76, no. 4 Pt 2 (October 2007): 046122-. Full Text Link to Item
  - Socolar, JES. "Erratum: The hexagonal parquet tiling, k-isohedral monotiles with arbitrarily large k (The Mathematical Intelligencer 29:2 (33-38))." Mathematical Intelligencer 29, no. 4 (September 1, 2007): 6-null. Full Text
  - Shreim, A, Grassberger, P, Nadler, W, Samuelsson, B, Socolar, JES, and Paczuski, M. "Network analysis of the state space of discrete dynamical systems." Phys Rev Lett 98, no. 19 (May 11, 2007): 198701-. Full Text Link to Item
  - Socolar, JES. "The hexagonal parquet tiling k-isohedral monotiles with arbitrarily large k." Mathematical Intelligencer 29, no. 2 (March 1, 2007): 33-38. Full Text
  - Samuelsson, B, and Socolar, JES. "Exhaustive percolation on random networks." Physical Review E Statistical, Nonlinear, and Soft Matter Physics 74, no. 3 (October 6, 2006). Full Text
  - Foster, DV, Kauffman, SA, and Socolar, JES. "Network growth models and genetic regulatory networks." Phys Rev E Stat Nonlin Soft Matter Phys 73, no. 3 Pt 1 (March 2006): 031912-. Full Text Link to Item
  - Dealy, S, Kauffman, S, and Socolar, J. "Modeling pathways of differentiation in genetic regulatory networks with Boolean networks." Complexity 11, no. 1 (September 1, 2005): 52-60. Full Text
  - Tighe, BP, Socolar, JES, Schaeffer, DG, Mitchener, WG, and Huber, ML. "Force distributions in a triangular lattice of rigid bars." Phys Rev E Stat Nonlin Soft Matter Phys 72, no. 3 Pt 1 (September 2005): 031306-. Full Text Link to Item
  - Harrington, I, and Socolar, JES. "Design and robustness of delayed feedback controllers for discrete systems." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 69, no. 5 (January 1, 2004): 8-null. Full Text
  - Hövel, P, and Socolar, JES. "Stability domains for time-delay feedback control with latency." Phys Rev E Stat Nonlin Soft Matter Phys 68, no. 3 Pt 2 (September 2003): 036206-. Full Text Link to Item
  - Socolar, JES, and Kauffman, SA. "Scaling in ordered and critical random boolean networks." Phys Rev Lett 90, no. 6 (February 14, 2003): 068702-. Full Text Link to Item
  - Hövel, P, and Socolar, JES. "Stability domains for time-delay feedback control with latency." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 68, no. 3 2 (2003): 362061-362067.
  - Otto, M, Bouchaud, J-P, Claudin, P, and Socolar, JES. "Anisotropy in granular media: Classical elasticity and directed-force chain network." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 67, no. 3 1 (2003): 031302/1-031302/24.
  - Socolar, JES. "Discrete models of force chain networks." Discrete and Continuous Dynamical Systems Series B 3, no. 4 (January 1, 2003): 601-618. Full Text
  - Beck, O, Amann, A, Schöll, E, Socolar, JES, and Just, W. "Comparison of time-delayed feedback schemes for spatiotemporal control of chaos in a reaction-diffusion system with global coupling." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 66, no. 1 (July 24, 2002). Full Text
  - Socolar, JES, Schaeffer, DG, and Claudin, P. "Erratum to: Directed force chain networks and stress response in static granular materials." The European Physical Journal E 8, no. 4 (July 2002): 453-453. Full Text
  - Socolar, JES, Schaeffer, DG, and Claudin, P. "Directed force chain networks and stress response in static granular materials." European Physical Journal E 7, no. 4 (2002): 353-370.
  - Harrington, I, and Socolar, JE. "Limitation on stabilizing plane waves via time-delay feedback." Phys Rev E Stat Nonlin Soft Matter Phys 64, no. 5 Pt 2 (November 2001): 056206-. Full Text Link to Item
  - Socolar, JES. "Evolution in a spatially structured population subject to rare epidemics." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 63, no. 4 (January 1, 2001). Full Text
  - BLEICH, MICHAELE, and SOCOLAR, JOSHUAES. "DELAYED FEEDBACK CONTROL OF A PACED EXCITABLE OSCILLATOR." International Journal of Bifurcation and Chaos 10, no. 03 (March 2000): 603-609. Full Text
  - Richards, SA, Wilson, WG, and Socolar, JE. "Selection for intermediate mortality and reproduction rates in a spatially structured population." Proc Biol Sci 266, no. 1436 (December 7, 1999): 2383-2388. Full Text Link to Item
  - Sexton, MG, Socolar, JE, and Schaeffer, DG. "Force distribution in a scalar model for noncohesive granular material." Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 60, no. 2 Pt B (August 1999): 1999-2008. Link to Item
  - Socolar, JES. "Average stresses and force fluctuations in noncohesive granular materials." Physical Review E 57, no. 3 (March 1, 1998): 3204-3215. (Academic Article) Full Text Link to Item
  - Egolf, DA, and Socolar, JES. "Failure of linear control in noisy coupled map lattices." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 57, no. 5 (January 1, 1998): 5271-5275. Full Text
  - Socolar, JES, and Gauthier, DJ. "Analysis and comparison of multiple-delay schemes for controlling unstable fixed points of discrete maps." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 57, no. 6 (January 1, 1998): 6589-6595. Full Text
  - Gauthier, DJ, and Socolar, JES. "Comment on “Dynamic Control of Cardiac Alternans”." Physical Review Letters 79, no. 24 (December 15, 1997): 4938-null. Full Text
  - Sukow, DW, Bleich, ME, Gauthier, DJ, and Socolar, JES. "Controlling chaos in a fast diode resonator using extended time-delay autosynchronization: Experimental observations and theoretical analysis." Chaos 7, no. 4 (December 1997): 560-576. Full Text Link to Item
  - Bleich, ME, Hochheiser, D, Moloney, JV, and Socolar, JES. "Controlling extended systems with spatially filtered, time-delayed feedback." Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 55, no. 3 (January 1, 1997): 2119-2126. Full Text
  - Bleich, ME, and Socolar, JES. "Stability of periodic orbits controlled by time-delay feedback." Physics Letters, Section A: General, Atomic and Solid State Physics 210, no. 1-2 (January 1, 1996): 87-94. Full Text
  - Socolar, JE, Sukow, DW, and Gauthier, DJ. "Stabilizing unstable periodic orbits in fast dynamical systems." Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 50, no. 4 (October 1994): 3245-3248. Full Text
  - Gauthier, DJ, Sukow, DW, Concannon, HM, and Socolar, JE. "Stabilizing unstable periodic orbits in a fast diode resonator using continuous time-delay autosynchronization." Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 50, no. 3 (September 1994): 2343-2346. Link to Item
  - Grinstein, G, Jayaprakash, C, and Socolar, JE. "Scale invariance of nonconserved quantities in driven systems." Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48, no. 2 (August 1993): R643-R646. Link to Item
  - SOCOLAR, JES, GRINSTEIN, G, and JAYAPRAKASH, C. "ON SELF-ORGANIZED CRITICALITY IN NONCONSERVING SYSTEMS." Physical Review E 47, no. 4 (April 1, 1993): 2366-2376. (Academic Article) Full Text Link to Item
  - Krug, J, Socolar, JE, and Grinstein, G. "Surface fluctuations and criticality in a class of one-dimensional sandpile models." Phys Rev A 46, no. 8 (October 15, 1992): R4479-R4482. Link to Item
  - Socolar, JES. "Theory of Packings of Identical Hard Disks Generated by Ballistic Deposition." Europhysics Letters (Epl) 18, no. 1 (February 14, 1992): 39-44. Full Text
  - Krug, J, and Socolar, JE. "Comment on "Scalings of growing self-organized surfaces"." Phys Rev Lett 68, no. 5 (February 3, 1992): 722-. Full Text Link to Item
  - Socolar, JES. "Weak matching rules for quasicrystals." Communications in Mathematical Physics 129, no. 3 (May 1, 1990): 599-619. Full Text
  - Socolar, JE. "Simple octagonal and dodecagonal quasicrystals." Phys Rev B Condens Matter 39, no. 15 (May 15, 1989): 10519-10551. Link to Item
  - Onoda, G, Steinhardt, PJ, DiVincenzo, D, and Socolar, JE. "Onoda etal. reply." Phys Rev Lett 62, no. 10 (March 6, 1989): 1210-. Full Text Link to Item
  - Onoda, GY, Steinhardt, PJ, DiVincenzo, DP, and Socolar, JE. "Growing perfect quasicrystals." Phys Rev Lett 60, no. 25 (June 20, 1988): 2653-2656. Full Text Link to Item
  - Socolar, JE, and Wright, DC. "Explanation of peak shapes observed in diffraction from icosahedral quasicrystals." Phys Rev Lett 59, no. 2 (July 13, 1987): 221-224. Full Text Link to Item
  - Lubensky, TC, Socolar, JE, Steinhardt, PJ, Bancel, PA, and Heiney, AP. "Distortion and peak broadening in quasicrystal diffraction patterns." Phys Rev Lett 57, no. 12 (September 22, 1986): 1440-1443. Full Text Link to Item
  - Socolar, JE, Lubensky, TC, and Steinhardt, PJ. "Phonons, phasons, and dislocations in quasicrystals." Physical Review. B, Condensed Matter 34, no. 5 (September 1986): 3345-3360. Full Text
  - Socolar, JE, and Steinhardt, PJ. "Quasicrystals. II. Unit-cell configurations." Phys Rev B Condens Matter 34, no. 2 (July 15, 1986): 617-647. Link to Item
  - Socolar, JES. "Phason Strain in Quasicrystals." Journal de Physique C3 (1986): 217-227. (Academic Article)
  - Socolar, JE, Steinhardt, PJ, and Levine, D. "Quasicrystals with arbitrary orientational symmetry." Phys Rev B Condens Matter 32, no. 8 (October 15, 1985): 5547-5550. Link to Item
  - Mele, EJ, and Socolar, J. "Numerical integration of the time evolution operator: Excited‐state dynamics in conjugated molecules." International Journal of Quantum Chemistry 26, no. 18 S (January 1, 1984): 347-358. Full Text
  - Gollub, JP, Romer, EJ, and Socolar, JE. "Trajectory divergence for coupled relaxation oscillators: Measurements and models." Journal of Statistical Physics 23, no. 3 (September 1, 1980): 321-333. Full Text
  - Bleich, ME, and Socolar, JES. "Controlling spatiotemporal dynamics with time-delay feedback(Published online)." Physical Review E 54, no. 1: R17-R20. Full Text
  - Socolar, JES, Lubensky, TC, and Kane, CL. "Mechanical graphene(Published online)." New Journal of Physics 19, no. 2: 025003-025003. Full Text
Teaching & Mentoring
Recent Courses
- MUSIC 126: Acoustics and Music 2019
- PHYSICS 136: Acoustics and Music 2019
- PHYSICS 363: Thermal Physics 2019
- PHYSICS 161D: Fundamentals of Physics I 2018
Scholarly, Clinical, & Service Activities
Presentations & Appearances
Service to the Profession

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Education, Training, & Certifications

Duke Appointment History

In the News

Awards & Honors

Global Scholarship

Research

Selected Grants

Fellowships, Supported Research, & Other Grants

Selected Publications

Academic Articles

Recent Courses

Presentations & Appearances

Service to the Profession