- Letter
- Open Access
Light beam induced finger instability in a photosensitive liquid crystal cell
Phys. Rev. Research 3, L022027 – Published 21 June, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L022027
Abstract
Interfaces limiting two phases in driven systems may exhibit rich dynamical behaviors. Optically induced phase transitions are of particular interest for the study of interfacial phenomena. Dye-doped liquid crystals offer an ideal scenario in which phase transitions can be induced by purely optical means. Light-driven interface dynamics and spatial structure have been partially unveiled. Here we report the emergence of fingerlike structures at the nematic-isotropic interface in a photoisomerization experiment. A reduced model reveals the instability origin, which is derived from a model for the dopant concentration and the order parameter. Analogously to the hydrodynamically triggered finger instability, the interdigital space follows a power law. When the cell is in the isotropic phase and the light turns off, transient foamlike and labyrinthine textures are observed. Numerical simulations reproduce the observed behaviors. Our findings open an avenue for optically addressed interfacial dynamics and shape tailoring of spatial textures, not only liquid crystals but also polymers.
Physics Subject Headings (PhySH)
- Bifurcations
- Continuum mechanics
- Devices
- Diffusion
- Nematic phase transition
- Order parameters
- Pattern formation
- Phase diagrams
- Phase separation
- Phase transitions
- Front propagation
- Liquid crystals
- Liquid-liquid interfaces
- Nematic liquid crystals
- Nonlinear waves
- Reaction diffusion systems
- Imaging & optical processing
- Optical microscopy
- Polarized optical microscopy
Article Text
References (42)
- D. X. Viegas, Forest fire propagation, Philos. Trans. R. Soc. London, Ser. A 356, 2907 (1998).
- G. Sivashinsky, Diffusional-thermal theory of cellular flames, Combust. Sci. Technol. 15, 137 (1977).
- S. H. Tirmizi and W. N. Gill, Experimental investigation of the dynamics of spontaneous pattern formation during dendritic ice crystal growth, J. Cryst. Growth 96, 277 (1989).
- J. R. de Bruyn, Fingering Instability of Gravity Currents in Thin-Layer Electrochemical Deposition, Phys. Rev. Lett. 74, 4843 (1995).
- T. Niki, K. Muraoka, and K. Shimizu, Distribution of capillary nonperfusion in early-stage diabetic retinopathy, Ophthalmology 91, 1431 (1984).
- C. Giverso, M. Verani, and P. Ciarletta, Branching instability in expanding bacterial colonies, J. R. Soc., Interface 12, 20141290 (2015).
- G. M. Homsy, Viscous fingering in porous media, Annu. Rev. Fluid Mech. 19, 271 (1987).
- P. Saffman, Viscous fingering in Hele-Shaw cells, J. Fluid Mech. 173, 73 (1986).
- S. Hill, Channeling in packed columns, Chem. Eng. Sci. 1, 247 (1952).
- P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. R. Soc. London, Ser. A 245, 312 (1958).
- F. Box, O. Kodio, D. OKiely, V. Cantelli, A. Goriely, and D. Vella, Dynamic Buckling of an Elastic Ring in a Soap Film, Phys. Rev. Lett. 124, 198003 (2020).
- J. P. Sauppe, S. Palaniyappan, B. J. Tobias, J. L. Kline, K. A. Flippo, O. L. Landen, D. Shvarts, S. H. Batha, P. A. Bradley, E. N. Loomis, N. N. Vizirani, C. F. Kawaguchi, L. Kot, D. W. Schmidt, T. H. Day, A. B. Zylstra, and E. Malka, Demonstration of Scale-Invariant Rayleigh-Taylor Instability Growth in Laser-Driven Cylindrical Implosion Experiments, Phys. Rev. Lett. 124, 185003 (2020).
- T. Gao, M. Mirzadeh, P. Bai, K. M. Conforti, and M. Z. Bazant, Active control of viscous fingering using electric fields, Nat. Commun. 10, 4002 (2019).
- V. Odent, M. Clerc, C. Falcón, U. Bortolozzo, E. Louvergneaux, and S. Residori, Photo-isomerization fronts in dye-doped nematic liquid crystals, Opt. Lett. 39, 1861 (2014).
- V. Odent, E. Louvergneaux, M. G. Clerc, and I. Andrade-Silva, Optical wall dynamics induced by coexistence of monostable and bistable spatial regions, Phys. Rev. E 94, 052220 (2016).
- P.-G. De Gennes and J. Prost, The Physics of Liquid Crystals, International Series of Monographs on Physics, Vol. 83 (Oxford University Press, Oxford, 1993).
- I.-C. Khoo, Liquid Crystals, Wiley Series in Pure and Applied Optics, Vol. 64 (Wiley, Hoboken, NJ, 2007).
- S. Singh, Phase transitions in liquid crystals, Phys. Rep. 324, 107 (2000).
- I. Janossy, L. Csillag, and A. D. Lloyd, Temperature dependence of the optical Freedericksz transition in dyed nematic liquid crystals, Phys. Rev. A 44, 8410 (1991).
- I. Janossy and T. Kosa, Influence of anthraquinone dyes on optical reorientation of nematic liquid crystals, Opt. Lett. 17, 1183 (1992).
- T. Kosa, L. Sukhomlinova, L. Su, B. Taheri, T. J. White, and T. J. Bunning, Light-induced liquid crystallinity, Nature (London) 485, 347 (2012).
- M. Rumi, T. J. White, and T. J. Bunning, Phototropic guest–host liquid crystal systems: Environmental effects on naphthopyran kinetics, J. Phys. Chem. B 120, 12755 (2016).
- A. G. Chen and D. J. Brady, Real-time holography in azo-dye-doped liquid crystals, Opt. Lett. 17, 441 (1992).
- M. Chen, H. Dai, D. Wang, Y. Yang, D. Luo, X. Zhang, and C. Liu, Thermally and optically tunable lasing properties from dye-doped holographic polymer dispersed liquid crystal in capillaries, J. Appl. Phys. 123, 103105 (2018).
- V. Chigrinov, J. Sun, and X. Wang, Photoaligning and photopatterning: New LC technology, Crystals 10, 323 (2020).
- F. Derrien, J. Henninot, M. Warenghem, and G. Abbate, A thermal (2d + 1) spatial optical soliton in a dye doped liquid crystal, J. Opt. A 2, 332 (2000).
- I. Andrade-Silva, U. Bortolozzo, C. Castillo-Pinto, M. Clerc, G. González-Cortés, S. Residori, and M. Wilson, Dissipative structures induced by photoisomerization in a dye-doped nematic liquid crystal layer, Philos. Trans. R. Soc. A 376, 20170382 (2018).
- I. Andrade-Silva, U. Bortolozzo, M. G. Clerc, G. González-Cortés, S. Residori, and M. Wilson, Spontaneous light-induced Turing patterns in a dye-doped twisted nematic layer, Sci. Rep. 8, 12867 (2018).
- K. Katayama, D. Kato, K.-i. Nagasaka, M. Miyagawa, W. Y. Sohn, and K.-W. Lee, Origin of optical nonlinearity of photo-responsive liquid crystals revealed by transient grating imaging, Sci. Rep. 9, 5754 (2019).
- C. Manzo, D. Paparo, L. Marrucci, and I. Janossy, Light-induced rotation of dye-doped liquid crystal droplets, Phys. Rev. E 73, 051707 (2006).
- E. Brasselet and S. Juodkazis, Optical angular manipulation of liquid crystal droplets in laser tweezers, J. Nonlinear Opt. Phys. Mater. 18, 167 (2009).
- S. Bono, S. Sato, and Y. Tabe, Unidirectional rotation of cholesteric droplets driven by UV-light irradiation, Soft Matter 13, 6569 (2017).
- Y. Sakai, W. Y. Sohn, and K. Katayama, Optical motion control of liquid crystalline droplets by host–guest molecular interaction, Soft Matter 15, 7159 (2019).
- Y. Sakai, W. Y. Sohn, and K. Katayama, Photo-controllable rotational motion of cholesteric liquid crystalline droplets in a dispersion system, RSC Adv. 10, 21191 (2020).
- D.-K. Yang and S.-T. Wu, Fundamentals of Liquid Crystal Devices (Wiley, Hoboken, NJ, 2014).
- G. Zimmerman, L.-Y. Chow, and U.-J. Paik, The photochemical isomerization of azobenzene, J. Am. Chem. Soc. 80, 3528 (1958).
- I. Janossy, Optical reorientation in dye-doped liquid crystals, J. Nonlinear Opt. Phys. Mater. 8, 361 (1999).
- I. Khoo, P. Chen, M. Shih, A. Shishido, S. Slussarenko, and M. Wood, Supra optical nonlinearities (SON) of methyl red-and azobenzene liquid crystal-doped nematic liquid crystals, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 358, 1 (2001).
- D. Statman and I. Janossy, Study of photoisomerization of azo dyes in liquid crystals, J. Chem. Phys. 118, 3222 (2003).
- P. Oswald, J. Bechhoefer, and A. Libchaber, Instabilities of a Moving Nematic-Isotropic Interface, Phys. Rev. Lett. 58, 2318 (1987).
- P. Oswald, J. Bechhoefer, and F. Melo, Pattern formation during the growth of liquid crystal phases, MRS Bull. 16, 38 (1991).
- J. McLean and P. Saffman, The effect of surface tension on the shape of fingers in a Hele Shaw cell, J. Fluid Mech. 102, 455 (1981).