References
- Arango J, Reyes C. Stochastic models for chladni figures. Proc Edinburgh Math Soc. 2016;59(2):287–300.
- Chladni EFF. Die Akustik. Leipzig: Breitkopf and Härtel; 1802.
- Stöckmann HJ. Chladni meets Napoleon. Eur Phys J Spec Top. 2007;145(1):15–23.
- Gander MJ, Kwok F. Chladni figures and the Tacoma bridge: motivating PDE eigenvalue problems via vibrating plates. SIAM Rev. 2012;54(3):573–596.
- Tuan PH, Wen CP, Chiang PY, et al. Exploring the resonant vibration of thin plates: reconstruction of Chladni patterns and determination of resonant wave numbers. J Acoust Soc Am. 2015;137(4):2113–2123.
- Zhou Q, Sariola V, Latifi K, et al. Controlling the motion of multiple objects on a Chladni plate. Nat Commun. 2016;7:12764.
- De Gennes PG. Réflexions sur un type de polymères nématiques. CR Acad Sci Ser B. 1975;281:101–103.
- Ennis R, Malacarne LC, Palffy-Muhoray P, et al. Nonlocal model for nematic liquid-crystal elastomers. Phys Rev E. 2006;74(6):061802.
- Camacho-Lopez M, Finkelmann H, Palffy-Muhoray P, et al. Fast liquid-crystal elastomer swims into the dark. Nat Mater. 2004;3(5):307.
- Warner M, Terentjev EM. Liquid crystal elastomers. Oxford: Oxford university press; 2003.
- Warner M, Mahadevan L. Photoinduced deformations of beams, plates, and films. Phys Rev Lett. 2004;92(13):134302.
- Corbett D, Van Oosten CL, Warner M. Nonlinear dynamics of optical absorption of intense beams. Phys Rev A. 2008;78(1):013823.
- Corbett D, Warner M. Deformation and rotations of free nematic elastomers in response to electric fields. Soft Matter. 2009;5(7):1433–1439.
- Zhu W, Shelley M, Palffy-Muhoray P. Modeling and simulation of liquid-crystal elastomers. Phys Rev E. 2011;83(5):051703.
- Gelebart AH, Mulder DJ, Varga M, et al. Making waves in a photoactive polymer film. Nature. 2017;546(7660):632.
- Bertrand J. On homogeneity in physics formulas. Res Pap Acad Sci. 1878;86:916–920.
- Bridgman PW. Dimensional analysis.New Haven: Yale university press; 1922.
- Buckingham E. On physically similar systems; illustrations of the use of dimensional equations. Phys Rev. 1914;4(4):345.
- VIII RL. On the question of the stability of the flow of fluids. The London, Edinburgh, and Dublin philos Mag J Sci. 1892;34(206):59–70.
- Lv JA, Liu Y, Wei J, et al. Photocontrol of fluid slugs in liquid crystal polymer microactuators. Nature. 2016;537(7619):179.
- Charra F, Kajzar F, Nunzi JM, et al. Light-induced second-harmonic generation in azo-dye polymers. Opt Lett. 1993;18(12):941–943.
- Maeda M, Ishitobi H, Sekkat Z, et al. Polarization storage by nonlinear orientational hole burning in azo dye-containing polymer films. Appl Phys Lett. 2004;85(3):351–353.
- Dumont M, El Osman A. On spontaneous and photoinduced orientational mobility of dye molecules in polymers. Chem Phys. 1999;245(1–3):437–462.
- Palffy-Muhoray P, Kosa T, Weinan E. Brownian motors in the photoalignment of liquid crystals. Appl Phys A. 2002;75(2):293–300.
- Gell-Mann M. The interpretation of the new particles as displaced charge multiplets. Il Nuovo Cimento (1955–1965). 1956;4(2):848–866.